1 | package agents.bayesianopponentmodel;
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2 |
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3 | import java.util.ArrayList;
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4 | import java.util.List;
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5 |
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6 | import genius.core.Bid;
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7 | import genius.core.issue.Issue;
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8 | import genius.core.issue.IssueDiscrete;
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9 | import genius.core.issue.IssueReal;
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10 | import genius.core.utility.AdditiveUtilitySpace;
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11 | import genius.core.utility.EVALFUNCTYPE;
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12 | import genius.core.utility.EvaluatorDiscrete;
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13 | import genius.core.utility.EvaluatorInteger;
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14 | import genius.core.utility.EvaluatorReal;
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15 |
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16 | /**
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17 | * Version of the standard Scalable Bayesian Model which uses the opponent's
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18 | * utilityspace to calculate the real utility of the opponent's bid. This is
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19 | * equivalent to having complete knowledge about the opponent's decision
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20 | * function.
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21 | *
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22 | * KNOWN BUGS: (similar to original BayesianOpponentModelScalable) 1. Opponent
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23 | * model does not take the opponent's strategy into account, in contrast to the
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24 | * original paper which depicts an assumption about the opponent'strategy which
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25 | * adapts over time.
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26 | *
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27 | * 2. The opponent model becomes invalid after a while as NaN occurs in some
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28 | * hypotheses, corrupting the overall estimation.
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29 | *
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30 | * @author Mark Hendrikx
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31 | */
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32 | public class PerfectBayesianOpponentModelScalable extends OpponentModel {
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33 |
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34 | private AdditiveUtilitySpace fUS;
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35 | private ArrayList<ArrayList<WeightHypothesis2>> fWeightHyps;
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36 | private ArrayList<ArrayList<EvaluatorHypothesis>> fEvaluatorHyps;
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37 |
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38 | List<Issue> issues;
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39 | private double[] fExpectedWeights;
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40 | private AdditiveUtilitySpace opponentSpace;
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41 |
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42 | public PerfectBayesianOpponentModelScalable(
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43 | AdditiveUtilitySpace pUtilitySpace) {
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44 | fDomain = pUtilitySpace.getDomain();
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45 | issues = fDomain.getIssues();
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46 | fUS = pUtilitySpace;
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47 | fBiddingHistory = new ArrayList<Bid>();
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48 | fExpectedWeights = new double[pUtilitySpace.getDomain().getIssues()
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49 | .size()];
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50 | fWeightHyps = new ArrayList<ArrayList<WeightHypothesis2>>();
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51 | // generate all possible ordering combinations of the weights
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52 |
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53 | initWeightHyps();
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54 | // generate all possible hyps of evaluation functions
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55 | fEvaluatorHyps = new ArrayList<ArrayList<EvaluatorHypothesis>>();
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56 | int lTotalTriangularFns = 4;
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57 | for (int i = 0; i < fUS.getNrOfEvaluators(); i++) {
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58 | ArrayList<EvaluatorHypothesis> lEvalHyps;
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59 | EvaluatorReal lHypEvalReal;
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60 | EvaluatorInteger lHypEvalInteger;
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61 | EvaluatorHypothesis lEvaluatorHypothesis;
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62 | switch (fUS.getEvaluator(issues.get(i).getNumber()).getType()) {
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63 |
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64 | case REAL:
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65 | lEvalHyps = new ArrayList<EvaluatorHypothesis>();
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66 | fEvaluatorHyps.add(lEvalHyps);
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67 | // EvaluatorReal lEval = (EvaluatorReal)(fUS.getEvaluator(i));
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68 | IssueReal lIssue = (IssueReal) (fDomain.getIssues().get(i));
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69 | // uphill
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70 | EvaluatorReal lHypEval;
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71 | lHypEval = new EvaluatorReal();
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72 | lHypEval.setUpperBound(lIssue.getUpperBound());
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73 | lHypEval.setLowerBound(lIssue.getLowerBound());
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74 | lHypEval.setType(EVALFUNCTYPE.LINEAR);
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75 | lHypEval.addParam(1, (double) 1
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76 | / (lHypEval.getUpperBound() - lHypEval.getLowerBound()));
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77 | lHypEval.addParam(
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78 | 0,
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79 | -lHypEval.getLowerBound()
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80 | / (lHypEval.getUpperBound() - lHypEval
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81 | .getLowerBound()));
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82 | lEvaluatorHypothesis = new EvaluatorHypothesis(lHypEval);
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83 | lEvaluatorHypothesis.setDesc("uphill");
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84 | lEvalHyps.add(lEvaluatorHypothesis);
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85 | // downhill
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86 | lHypEval = new EvaluatorReal();
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87 | lHypEval.setUpperBound(lIssue.getUpperBound());
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88 | lHypEval.setLowerBound(lIssue.getLowerBound());
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89 | lHypEval.setType(EVALFUNCTYPE.LINEAR);
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90 | lHypEval.addParam(1, -(double) 1
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91 | / (lHypEval.getUpperBound() - lHypEval.getLowerBound()));
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92 | lHypEval.addParam(0, (double) 1 + lHypEval.getLowerBound()
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93 | / (lHypEval.getUpperBound() - lHypEval.getLowerBound()));
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94 | lEvaluatorHypothesis = new EvaluatorHypothesis(lHypEval);
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95 | lEvalHyps.add(lEvaluatorHypothesis);
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96 | lEvaluatorHypothesis.setDesc("downhill");
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97 | for (int k = 1; k <= lTotalTriangularFns; k++) {
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98 | // triangular
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99 | lHypEval = new EvaluatorReal();
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100 | lHypEval.setUpperBound(lIssue.getUpperBound());
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101 | lHypEval.setLowerBound(lIssue.getLowerBound());
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102 | lHypEval.setType(EVALFUNCTYPE.TRIANGULAR);
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103 | lHypEval.addParam(0, lHypEval.getLowerBound());
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104 | lHypEval.addParam(1, lHypEval.getUpperBound());
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105 | double lMaxPoint = lHypEval.getLowerBound()
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106 | + (double) k
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107 | * (lHypEval.getUpperBound() - lHypEval
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108 | .getLowerBound())
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109 | / (lTotalTriangularFns + 1);
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110 | lHypEval.addParam(2, lMaxPoint);
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111 | lEvaluatorHypothesis = new EvaluatorHypothesis(lHypEval);
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112 | lEvalHyps.add(lEvaluatorHypothesis);
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113 | lEvaluatorHypothesis.setDesc("triangular "
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114 | + String.format("%1.2f", lMaxPoint));
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115 | }
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116 | for (int k = 0; k < lEvalHyps.size(); k++) {
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117 | lEvalHyps.get(k).setProbability(
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118 | (double) 1 / lEvalHyps.size());
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119 | }
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120 |
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121 | break;
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122 | case DISCRETE:
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123 | lEvalHyps = new ArrayList<EvaluatorHypothesis>();
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124 | fEvaluatorHyps.add(lEvalHyps);
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125 | // EvaluatorReal lEval = (EvaluatorReal)(fUS.getEvaluator(i));
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126 | IssueDiscrete lDiscIssue = (IssueDiscrete) (fDomain.getIssues()
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127 | .get(i));
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128 | // uphill
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129 | EvaluatorDiscrete lDiscreteEval = new EvaluatorDiscrete();
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130 | for (int j = 0; j < lDiscIssue.getNumberOfValues(); j++)
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131 | lDiscreteEval.addEvaluation(lDiscIssue.getValue(j),
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132 | 1000 * j + 1);
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133 | lEvaluatorHypothesis = new EvaluatorHypothesis(lDiscreteEval);
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134 | lEvaluatorHypothesis.setProbability((double) 1 / 3);
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135 | lEvaluatorHypothesis.setDesc("uphill");
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136 | lEvalHyps.add(lEvaluatorHypothesis);
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137 | // downhill
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138 | lDiscreteEval = new EvaluatorDiscrete();
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139 | for (int j = 0; j < lDiscIssue.getNumberOfValues(); j++)
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140 | lDiscreteEval
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141 | .addEvaluation(
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142 | lDiscIssue.getValue(j),
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143 | 1000 * (lDiscIssue.getNumberOfValues() - j - 1) + 1);
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144 | lEvaluatorHypothesis = new EvaluatorHypothesis(lDiscreteEval);
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145 | lEvaluatorHypothesis.setProbability((double) 1 / 3);
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146 | lEvalHyps.add(lEvaluatorHypothesis);
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147 | lEvaluatorHypothesis.setDesc("downhill");
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148 | if (lDiscIssue.getNumberOfValues() > 2) {
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149 | lTotalTriangularFns = lDiscIssue.getNumberOfValues() - 1;
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150 | for (int k = 1; k < lTotalTriangularFns; k++) {
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151 | // triangular. Wouter: we need to CHECK this.
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152 | lDiscreteEval = new EvaluatorDiscrete();
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153 | for (int j = 0; j < lDiscIssue.getNumberOfValues(); j++)
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154 | if (j < k) {
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155 | lDiscreteEval.addEvaluation(
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156 | lDiscIssue.getValue(j), 1000 * j / k);
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157 | } else {
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158 | // lEval =
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159 | // (1.0-(double)(j-k)/(lDiscIssue.getNumberOfValues()-1.0-k));
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160 | lDiscreteEval.addEvaluation(
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161 | lDiscIssue.getValue(j),
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162 | 1000
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163 | * (lDiscIssue
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164 | .getNumberOfValues()
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165 | - j - 1)
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166 | / (lDiscIssue
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167 | .getNumberOfValues()
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168 | - k - 1) + 1);
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169 | }
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170 | lEvaluatorHypothesis = new EvaluatorHypothesis(
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171 | lDiscreteEval);
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172 | lEvalHyps.add(lEvaluatorHypothesis);
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173 | lEvaluatorHypothesis.setDesc("triangular "
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174 | + String.valueOf(k));
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175 | }// for
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176 | }// if
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177 | for (int k = 0; k < lEvalHyps.size(); k++) {
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178 | lEvalHyps.get(k).setProbability(
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179 | (double) 1 / lEvalHyps.size());
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180 | }
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181 | break;
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182 | }// switch
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183 | }
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184 | for (int i = 0; i < fExpectedWeights.length; i++)
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185 | fExpectedWeights[i] = getExpectedWeight(i);
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186 |
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187 | // printEvalsDistribution();
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188 | }
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189 |
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190 | void initWeightHyps() {
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191 | int lWeightHypsNumber = 11;
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192 | for (int i = 0; i < fUS.getDomain().getIssues().size(); i++) {
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193 | ArrayList<WeightHypothesis2> lWeightHyps = new ArrayList<WeightHypothesis2>();
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194 | for (int j = 0; j < lWeightHypsNumber; j++) {
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195 | WeightHypothesis2 lHyp = new WeightHypothesis2(fDomain);
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196 | lHyp.setProbability((1.0 - ((double) j + 1.0)
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197 | / lWeightHypsNumber)
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198 | * (1.0 - ((double) j + 1.0) / lWeightHypsNumber)
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199 | * (1.0 - ((double) j + 1.0) / lWeightHypsNumber));
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200 | lHyp.setWeight((double) j / (lWeightHypsNumber - 1));
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201 | lWeightHyps.add(lHyp);
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202 | }
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203 | double lN = 0;
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204 | for (int j = 0; j < lWeightHypsNumber; j++) {
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205 | lN += lWeightHyps.get(j).getProbability();
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206 | }
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207 | for (int j = 0; j < lWeightHypsNumber; j++) {
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208 | lWeightHyps.get(j).setProbability(
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209 | lWeightHyps.get(j).getProbability() / lN);
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210 | }
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211 |
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212 | fWeightHyps.add(lWeightHyps);
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213 | }
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214 | }
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215 |
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216 | private double conditionalDistribution(double pUtility,
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217 | double pPreviousBidUtility) {
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218 | // TODO: check this condition
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219 | // if(pPreviousBidUtility<pUtility) return 0;
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220 | // else {
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221 | double lSigma = 0.25;
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222 | double x = (pPreviousBidUtility - pUtility) / pPreviousBidUtility;
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223 | double lResult = 1.0 / (lSigma * Math.sqrt(2.0 * Math.PI))
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224 | * Math.exp(-(x * x) / (2.0 * lSigma * lSigma));
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225 | return lResult;
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226 | // }
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227 | }
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228 |
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229 | public double getExpectedEvaluationValue(Bid pBid, int pIssueNumber)
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230 | throws Exception {
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231 | double lExpectedEval = 0;
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232 | for (int j = 0; j < fEvaluatorHyps.get(pIssueNumber).size(); j++) {
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233 | lExpectedEval = lExpectedEval
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234 | + fEvaluatorHyps.get(pIssueNumber).get(j).getProbability()
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235 | * fEvaluatorHyps
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236 | .get(pIssueNumber)
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237 | .get(j)
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238 | .getEvaluator()
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239 | .getEvaluation(fUS, pBid,
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240 | issues.get(pIssueNumber).getNumber());
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241 | }
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242 | return lExpectedEval;
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243 |
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244 | }
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245 |
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246 | public double getExpectedWeight(int pIssueNumber) {
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247 | double lExpectedWeight = 0;
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248 | for (int i = 0; i < fWeightHyps.get(pIssueNumber).size(); i++) {
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249 | lExpectedWeight += fWeightHyps.get(pIssueNumber).get(i)
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250 | .getProbability()
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251 | * fWeightHyps.get(pIssueNumber).get(i).getWeight();
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252 | }
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253 | return lExpectedWeight;
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254 | }
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255 |
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256 | private double getPartialUtility(Bid pBid, int pIssueIndex)
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257 | throws Exception {
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258 | // calculate partial utility w/o issue pIssueIndex
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259 | double u = 0;
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260 | for (int j = 0; j < fDomain.getIssues().size(); j++) {
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261 | if (pIssueIndex == j)
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262 | continue;
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263 | // calculate expected weight of the issue
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264 | double w = 0;
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265 | for (int k = 0; k < fWeightHyps.get(j).size(); k++)
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266 | w += fWeightHyps.get(j).get(k).getProbability()
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267 | * fWeightHyps.get(j).get(k).getWeight();
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268 | u = u + w * getExpectedEvaluationValue(pBid, j);
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269 | }
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270 | return u;
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271 | }
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272 |
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273 | public void updateWeights(double opponentUtility) throws Exception {
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274 | Bid lBid = fBiddingHistory.get(fBiddingHistory.size() - 1);
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275 | ArrayList<ArrayList<WeightHypothesis2>> lWeightHyps = new ArrayList<ArrayList<WeightHypothesis2>>();
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276 | // make new hyps array
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277 | for (int i = 0; i < fWeightHyps.size(); i++) {
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278 | ArrayList<WeightHypothesis2> lTmp = new ArrayList<WeightHypothesis2>();
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279 | for (int j = 0; j < fWeightHyps.get(i).size(); j++) {
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280 | WeightHypothesis2 lHyp = new WeightHypothesis2(fUS.getDomain());
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281 | lHyp.setWeight(fWeightHyps.get(i).get(j).getWeight());
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282 | lHyp.setProbability(fWeightHyps.get(i).get(j).getProbability());
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283 | lTmp.add(lHyp);
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284 | }
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285 | lWeightHyps.add(lTmp);
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286 | }
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287 |
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288 | // for(int k=0;k<5;k++) {
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289 | for (int j = 0; j < fDomain.getIssues().size(); j++) {
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290 | double lN = 0;
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291 | double lUtility = 0;
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292 | for (int i = 0; i < fWeightHyps.get(j).size(); i++) {
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293 | // if(!lBid.getValue(j).equals(lPreviousBid.getValue(j))) {
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294 | lUtility = fWeightHyps.get(j).get(i).getWeight()
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295 | * getExpectedEvaluationValue(lBid, j)
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296 | + getPartialUtility(lBid, j);
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297 | lN += fWeightHyps.get(j).get(i).getProbability()
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298 | * conditionalDistribution(lUtility, opponentUtility);
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299 | /*
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300 | * } else { lN += fWeightHyps.get(j).get(i).getProbability(); }
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301 | */
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302 | }
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303 | // 2. receiveMessage probabilities
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304 | for (int i = 0; i < fWeightHyps.get(j).size(); i++) {
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305 | // if(!lBid.getValue(j).equals(lPreviousBid.getValue(j))) {
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306 | lUtility = fWeightHyps.get(j).get(i).getWeight()
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307 | * getExpectedEvaluationValue(lBid, j)
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308 | + getPartialUtility(lBid, j);
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309 | lWeightHyps
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310 | .get(j)
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311 | .get(i)
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312 | .setProbability(
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313 | fWeightHyps.get(j).get(i).getProbability()
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314 | * conditionalDistribution(lUtility,
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315 | opponentUtility) / lN);
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316 | /*
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317 | * } else {
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318 | * lWeightHyps.get(j).get(i).setProbability(fWeightHyps.
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319 | * get(j).get(i).getProbability()/lN); }
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320 | */
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321 | }
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322 | }
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323 | // }
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324 | fWeightHyps = lWeightHyps;
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325 | }
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326 |
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327 | public void updateEvaluationFns(double opponentUtility) throws Exception {
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328 | Bid lBid = fBiddingHistory.get(fBiddingHistory.size() - 1);
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329 | // make new hyps array
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330 | // for(int k=0;k<5;k++){
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331 | ArrayList<ArrayList<EvaluatorHypothesis>> lEvaluatorHyps = new ArrayList<ArrayList<EvaluatorHypothesis>>();
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332 | for (int i = 0; i < fEvaluatorHyps.size(); i++) {
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333 | ArrayList<EvaluatorHypothesis> lTmp = new ArrayList<EvaluatorHypothesis>();
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334 | for (int j = 0; j < fEvaluatorHyps.get(i).size(); j++) {
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335 | EvaluatorHypothesis lHyp = new EvaluatorHypothesis(
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336 | fEvaluatorHyps.get(i).get(j).getEvaluator());
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337 | lHyp.setDesc(fEvaluatorHyps.get(i).get(j).getDesc());
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338 | lHyp.setProbability(fEvaluatorHyps.get(i).get(j)
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339 | .getProbability());
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340 | lTmp.add(lHyp);
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341 | }
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342 | lEvaluatorHyps.add(lTmp);
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343 | }
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344 |
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345 | // 1. calculate the normalization factor
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346 |
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347 | for (int i = 0; i < fDomain.getIssues().size(); i++) {
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348 | // 1. calculate the normalization factor
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349 | double lN = 0;
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350 | for (int j = 0; j < fEvaluatorHyps.get(i).size(); j++) {
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351 | EvaluatorHypothesis lHyp = fEvaluatorHyps.get(i).get(j);
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352 | lN += lHyp.getProbability()
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353 | * conditionalDistribution(
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354 | getPartialUtility(lBid, i)
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355 | + getExpectedWeight(i)
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356 | * (lHyp.getEvaluator().getEvaluation(
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357 | fUS, lBid, issues.get(i)
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358 | .getNumber())),
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359 | opponentUtility);
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360 | }
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361 | // 2. receiveMessage probabilities
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362 | for (int j = 0; j < fEvaluatorHyps.get(i).size(); j++) {
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363 | EvaluatorHypothesis lHyp = fEvaluatorHyps.get(i).get(j);
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364 | lEvaluatorHyps
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365 | .get(i)
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366 | .get(j)
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367 | .setProbability(
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368 | lHyp.getProbability()
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369 | * conditionalDistribution(
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370 | getPartialUtility(lBid, i)
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371 | + getExpectedWeight(i)
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372 | * (lHyp.getEvaluator()
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373 | .getEvaluation(
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374 | fUS,
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375 | lBid,
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376 | issues.get(
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377 | i)
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378 | .getNumber())),
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379 | opponentUtility) / lN);
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380 | }
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381 | }
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382 | fEvaluatorHyps = lEvaluatorHyps;
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383 | }
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384 |
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385 | public boolean haveSeenBefore(Bid pBid) {
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386 | for (Bid tmpBid : fBiddingHistory) {
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387 | if (pBid.equals(tmpBid))
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388 | return true;
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389 | }
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390 | return false;
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391 | }
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392 |
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393 | public void updateBeliefs(Bid pBid) throws Exception {
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394 | if (haveSeenBefore(pBid))
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395 | return;
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396 | fBiddingHistory.add(pBid);
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397 | double opponentUtility = opponentSpace.getUtility(pBid);
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398 | // do not receiveMessage the bids if it is the first bid
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399 | if (fBiddingHistory.size() > 1) {
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400 |
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401 | // receiveMessage the weights
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402 | updateWeights(opponentUtility);
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403 | // receiveMessage evaluation functions
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404 | updateEvaluationFns(opponentUtility);
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405 | } else {
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406 | // do not receiveMessage the weights
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407 | // receiveMessage evaluation functions
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408 | updateEvaluationFns(opponentUtility);
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409 | } // if
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410 |
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411 | // System.out.println(getMaxHyp().toString());
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412 | // calculate utility of the next partner's bid according to the
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413 | // concession functions
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414 | for (int i = 0; i < fExpectedWeights.length; i++) {
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415 | fExpectedWeights[i] = getExpectedWeight(i);
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416 | }
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417 | findMinMaxUtility();
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418 | // printBestHyp();
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419 | }
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420 |
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421 | /**
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422 | * Plan: cache the results for pBid in a Hash table. empty the hash table
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423 | * whenever updateWeights or updateEvaluationFns is called.
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424 | *
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425 | * @param pBid
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426 | * @return weeighted utility where weights represent likelihood of each
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427 | * hypothesis
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428 | * @throws Exception
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429 | */
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430 | public double getExpectedUtility(Bid pBid) throws Exception {
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431 | // calculate expected utility
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432 | double u = 0;
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433 | for (int j = 0; j < fDomain.getIssues().size(); j++) {
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434 | // calculate expected weight of the issue
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435 | double w = fExpectedWeights[j];
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436 | /*
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437 | * for(int k=0;k<fWeightHyps.get(j).size();k++) w +=
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438 | * fWeightHyps.get(
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439 | * j).get(k).getProbability()*fWeightHyps.get(j).get(
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440 | * k).getWeight();(
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441 | */
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442 | u = u + w * getExpectedEvaluationValue(pBid, j);
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443 | }
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444 |
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445 | return u;
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446 | }
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447 |
|
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448 | public double getNormalizedWeight(Issue i, int startingNumber) {
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449 | double sum = 0;
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450 | for (Issue issue : fDomain.getIssues()) {
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451 | sum += getExpectedWeight(issue.getNumber() - startingNumber);
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452 | }
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453 | return (getExpectedWeight(i.getNumber() - startingNumber)) / sum;
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454 | }
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455 |
|
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456 | public void setOpponentUtilitySpace(
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457 | AdditiveUtilitySpace opponentUtilitySpace) {
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458 | this.opponentSpace = opponentUtilitySpace;
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459 | }
|
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460 | } |
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