1 | package agents.ai2014.group5;
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2 |
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3 | import java.util.ArrayList;
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4 | import java.util.Collections;
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5 | import java.util.HashMap;
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6 | import java.util.List;
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7 | import java.util.Map;
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8 | import java.util.Random;
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9 |
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10 | import genius.core.Bid;
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11 | import genius.core.Domain;
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12 | import genius.core.issue.Value;
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13 | import genius.core.issue.ValueDiscrete;
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14 |
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15 | /**
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16 | * Implementation of the bidding strategy. 1) In the first round the agent will
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17 | * offer a bid with max utility for itself. 2) In the subsequent rounds, until a
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18 | * specific time has elapsed, the agent will bid selfishly and only concede a
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19 | * tiny bit. This is because the opponent models are unreliable in the
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20 | * beginning. 3) Afterwards, it will use a tit-for-tat strategy to hopefully
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21 | * reach a Nash point, while increasingly concede utility in the later rounds.
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22 | * To achieve this it will interact with the opponent models to compare the
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23 | * estimated utilities of the opponents when deciding on bids.
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24 | */
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25 | public class BiddingStrategy {
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26 | // The minimum utility for our agent that we will consider when computing
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27 | // bids
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28 | private static final double MIN_UTIL = 0.3;
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29 |
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30 | private Random randGen;
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31 |
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32 | // Domain of agent, all bids in this domain, and best bids in domain
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33 | private Domain domain;
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34 | private List<Bid> allBids;
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35 | private List<Bid> maxBids;
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36 |
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37 | // The agent and fields from the agent
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38 | private Group5 agent;
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39 | private Map<String, OpponentModel> opponentModels;
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40 | private List<Map<String, Integer>> values;
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41 | private List<Map<Integer, String>> valuesRev;
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42 |
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43 | // Currently calculated Nash point
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44 | private Bid curNash;
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45 |
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46 | // The last bid made by us
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47 | public Bid lastBid;
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48 |
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49 | // The last bid and most recent bid received from an opponent
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50 | public Bid prevOpponentBid, currentOpponentBid;
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51 |
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52 | // The current round
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53 | public int round = 0;
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54 |
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55 | // The deadline (can be null!)
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56 | public Integer deadline;
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57 |
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58 | public BiddingStrategy(Domain domain,
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59 | Map<String, OpponentModel> opponentModels,
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60 | List<Map<String, Integer>> values,
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61 | List<Map<Integer, String>> valuesRev, Group5 agent) {
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62 | this.domain = domain;
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63 | this.opponentModels = opponentModels;
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64 | this.values = values;
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65 | this.valuesRev = valuesRev;
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66 | this.agent = agent;
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67 | this.randGen = new Random();
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68 | this.maxBids = new ArrayList<Bid>();
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69 |
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70 | createAllBids();
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71 | }
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72 |
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73 | /**
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74 | * Computes all bids in the domain that have an utility of at least
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75 | * {@link #MIN_UTIL}.
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76 | */
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77 | private void createAllBids() {
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78 | // Count bids
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79 | List<Integer> numValuesEach = new ArrayList<Integer>();
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80 | int numBids = 1;
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81 | for (int i = 0; i < values.size(); i++) {
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82 | int x = values.get(i).size();
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83 | numValuesEach.add(x);
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84 | numBids *= x;
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85 | }
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86 |
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87 | // Compute bids represented as lists of value indices
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88 | List<List<Integer>> bidIndices = new ArrayList<List<Integer>>(
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89 | Collections.nCopies(numBids, (List<Integer>) null));
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90 | for (int i = 0; i < bidIndices.size(); i++) {
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91 | bidIndices.set(i, new ArrayList<Integer>(values.size()));
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92 | }
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93 | int bound = numBids;
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94 | for (int i : numValuesEach) {
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95 | bound /= i;
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96 | int count = 0;
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97 | int j = 0;
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98 | for (List<Integer> k : bidIndices) {
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99 | k.add(j);
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100 | count++;
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101 | if (count == bound) {
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102 | j++;
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103 | count = 0;
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104 | }
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105 | if (j == i) {
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106 | j = 0;
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107 | }
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108 | }
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109 | }
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110 |
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111 | // Create actual bids from value indices lists
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112 | allBids = new ArrayList<Bid>();
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113 | for (int i = 0; i < bidIndices.size(); i++) {
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114 | Bid bid = createBid(bidIndices.get(i));
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115 | if (agent.getUtility(bid) >= MIN_UTIL) {
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116 | allBids.add(bid);
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117 | }
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118 | }
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119 | }
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120 |
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121 | private Bid createBid(List<Integer> valueIndices) {
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122 | HashMap<Integer, Value> v = new HashMap<Integer, Value>();
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123 | for (int i = 0; i < valuesRev.size(); i++) {
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124 | String vname = valuesRev.get(i).get(valueIndices.get(i));
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125 | v.put(i + 1, new ValueDiscrete(vname));
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126 | }
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127 | try {
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128 | return new Bid(domain, v);
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129 | } catch (Exception e) {
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130 | agent.println("Error: cannot create bid " + v);
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131 | }
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132 | return null;
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133 | }
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134 |
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135 | /**
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136 | * Creates a bid according to the bidding strategy See the documentation of
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137 | * this class above for a description of the bidding strategy
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138 | */
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139 | public Bid generateBid() {
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140 | // New round, new Nash point
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141 | round++;
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142 | updateNashProduct();
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143 |
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144 | // 1) Offer the best bid for us in the first round
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145 | if (lastBid == null || currentOpponentBid == null) {
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146 | return generateMaxBid();
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147 | }
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148 |
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149 | // 2.1) Allow to concede a bit more each round
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150 | int cutoff = deadline == null ? 10 : Math.max(deadline / 2, 10);
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151 | double maxConcession = 0.01;
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152 | if (deadline != null) {
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153 | // double c = 2.25;
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154 | double c = 3.5;
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155 | maxConcession = Math.exp((round - cutoff) / (deadline / c))
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156 | / (1.5 * Math.exp(c));
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157 | agent.println("Max concession: " + maxConcession);
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158 | }
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159 |
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160 | // 2.2) Do not use the opponent models in the beginning as they are
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161 | // unreliable
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162 | if (round <= cutoff) {
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163 | Bid b = selfishStep(maxConcession);
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164 | if (b == null) {
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165 | agent.println("Warning: could not make a selfish offer");
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166 | return null;
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167 | }
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168 | agent.println("Made selfish move: " + agent.getUtility(b) + ", "
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169 | + b);
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170 | return b;
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171 | }
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172 |
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173 | // 3.1) Estimate Nash point
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174 | if (curNash == null) {
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175 | // Huh
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176 | Bid b = selfishStep(maxConcession);
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177 | agent.println("No Nash bid!?");
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178 | return b;
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179 | }
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180 |
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181 | // 3.2) Find concession towards Nash point
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182 | double nashBidUtil = agent.getUtility(curNash);
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183 | double prevOpponentBidUtil = agent.getUtility(prevOpponentBid);
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184 | double curOpponentBidUtil = agent.getUtility(currentOpponentBid);
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185 | double opponentConcession = (prevOpponentBidUtil - curOpponentBidUtil)
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186 | / Math.abs(nashBidUtil - prevOpponentBidUtil);
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187 |
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188 | // 3.3) Mirror bid in our utility relative to Nash utility
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189 | double lastBidUtil = agent.getUtility(lastBid);
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190 | double concession = opponentConcession
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191 | * Math.abs(nashBidUtil - lastBidUtil);
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192 | concession = Math.min(maxConcession, concession);
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193 | if (Double.isNaN(opponentConcession) || opponentConcession < 0.001) {
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194 | // But if the opponent did not succeed in increasing our utility
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195 | // then do not concede too much of our utility when offering the
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196 | // next bid
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197 | concession = 0.01;
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198 | }
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199 |
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200 | // 3.4) Make a nice move
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201 | Bid niceMove = niceStepClosestsNash(lastBid, agent.getUtility(lastBid),
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202 | concession);
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203 | if (niceMove == null || niceMove.equals(lastBid)) {
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204 | agent.println("Warning: could not make a new nice move (making selfish move instead): "
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205 | + niceMove);
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206 | return selfishStep(maxConcession);
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207 | }
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208 | agent.println("Made nice move: " + agent.getUtility(niceMove) + ", "
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209 | + niceMove);
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210 | return niceMove;
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211 | }
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212 |
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213 | /**
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214 | * Product of the (estimated) utilities of all agents, including us
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215 | */
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216 | public double utilityProduct(Bid bid) {
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217 | double p = agent.getUtility(bid);
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218 | for (OpponentModel m : opponentModels.values()) {
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219 | p *= m.expectedUtilityOf(bid);
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220 | }
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221 | return p;
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222 | }
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223 |
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224 | /**
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225 | * Finds a bid with the maximal utility product Should be called at every
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226 | * round
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227 | */
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228 | private void updateNashProduct() {
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229 | double max = Double.MIN_VALUE;
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230 | for (Bid bid : allBids) {
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231 | double u = utilityProduct(bid);
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232 | if (u > max) {
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233 | max = u;
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234 | curNash = bid;
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235 | }
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236 | }
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237 | }
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238 |
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239 | /**
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240 | * A bid that is the best possible for us
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241 | */
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242 | private Bid generateMaxBid() {
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243 | if (maxBids.size() == 0) {
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244 | double max = Double.MIN_VALUE;
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245 | for (Bid bid : allBids) {
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246 | max = Math.max(agent.getUtility(bid), max);
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247 | }
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248 | for (Bid bid : allBids) {
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249 | if (Math.abs(agent.getUtility(bid) - max) < 0.001) {
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250 | maxBids.add(bid);
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251 | }
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252 | }
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253 | agent.println("Found " + maxBids.size() + " max bids");
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254 | }
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255 | if (maxBids.size() > 0) {
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256 | int randomIndex = randGen.nextInt(maxBids.size());
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257 | return maxBids.get(randomIndex);
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258 | }
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259 | return null;
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260 | }
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261 |
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262 | /**
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263 | * Distance to Nash product projected to our utility
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264 | */
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265 | private double distanceToNash(Bid bid) {
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266 | return Math.abs(utilityProduct(curNash) - utilityProduct(bid));
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267 | }
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268 |
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269 | /**
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270 | * Finds the bid closest to the estimated Nash product with an utility
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271 | * approximately equal to <code>curUtil</code> but with a difference of up
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272 | * to <code>concession</code>.
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273 | */
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274 | private Bid niceStepClosestsNash(Bid lastBid, double curUtil,
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275 | double concession) {
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276 | if (Double.isNaN(concession)) {
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277 | agent.println("Warning: concession is NaN");
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278 | concession = 0.001;
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279 | }
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280 | double minDist = Double.MAX_VALUE;
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281 | Bid niceBid = null;
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282 | for (Bid bid : allBids) {
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283 | if (lastBid != null && lastBid.equals(bid)) {
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284 | continue;
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285 | }
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286 | double util = agent.getUtility(bid);
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287 | if (Math.abs(curUtil - util) <= concession) {
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288 | double dist = distanceToNash(bid);
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289 | if (dist < minDist) {
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290 | minDist = dist;
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291 | niceBid = bid;
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292 | }
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293 | }
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294 | }
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295 | return niceBid;
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296 | }
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297 |
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298 | /**
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299 | * Finds a good bid that does not consider the opponent's preferences
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300 | */
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301 | private Bid selfishStep(double concession) {
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302 | if (Double.isNaN(concession)) {
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303 | agent.println("Warning: concession is NaN");
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304 | concession = 0.05;
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305 | }
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306 | List<Bid> bids = new ArrayList<Bid>();
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307 | for (Bid bid : allBids) {
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308 | double util = agent.getUtility(bid);
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309 | if (Math.abs(1.0 - util) <= concession) {
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310 | bids.add(bid);
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311 | }
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312 | }
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313 | if (bids.size() == 0) {
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314 | return null;
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315 | }
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316 | int randomIndex = randGen.nextInt(bids.size());
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317 | return bids.get(randomIndex);
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318 | }
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319 |
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320 | public void updateOffer(Bid bid) {
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321 | prevOpponentBid = currentOpponentBid;
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322 | currentOpponentBid = bid;
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323 | }
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324 |
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325 | public void setDeadline(Integer newDeadline) {
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326 | if (newDeadline != null && newDeadline != deadline) {
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327 | deadline = newDeadline;
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328 | }
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329 | }
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330 | }
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