1 | import logging
|
---|
2 | import time
|
---|
3 | from random import randint, uniform
|
---|
4 | from typing import cast
|
---|
5 | from math import log10, floor
|
---|
6 | from geniusweb.actions.Accept import Accept
|
---|
7 | from geniusweb.actions.Action import Action
|
---|
8 | from geniusweb.actions.Offer import Offer
|
---|
9 | from geniusweb.bidspace.AllBidsList import AllBidsList
|
---|
10 | from geniusweb.bidspace.BidsWithUtility import BidsWithUtility
|
---|
11 | from geniusweb.profile.utilityspace.LinearAdditive import LinearAdditive
|
---|
12 | from geniusweb.bidspace.Interval import Interval
|
---|
13 | from geniusweb.inform.ActionDone import ActionDone
|
---|
14 | from geniusweb.inform.Finished import Finished
|
---|
15 | from geniusweb.inform.Inform import Inform
|
---|
16 | from geniusweb.inform.Settings import Settings
|
---|
17 | from geniusweb.inform.YourTurn import YourTurn
|
---|
18 | from geniusweb.issuevalue.Bid import Bid
|
---|
19 | from geniusweb.party.Capabilities import Capabilities
|
---|
20 | from geniusweb.party.DefaultParty import DefaultParty
|
---|
21 | from geniusweb.profileconnection.ProfileConnectionFactory import ProfileConnectionFactory
|
---|
22 | from geniusweb.progress.ProgressRounds import ProgressRounds
|
---|
23 | from tudelft_utilities_logging.Reporter import Reporter
|
---|
24 | import heapq
|
---|
25 | from decimal import *
|
---|
26 | from .Group55OpponentModel import FrequencyOpponentModel
|
---|
27 |
|
---|
28 |
|
---|
29 | class Agent55(DefaultParty):
|
---|
30 | """
|
---|
31 | Template agent that offers random bids until a bid with sufficient utility is offered.
|
---|
32 | """
|
---|
33 |
|
---|
34 | def __init__(self, reporter: Reporter = None):
|
---|
35 | super().__init__(reporter)
|
---|
36 | self._utilspace: LinearAdditive = None
|
---|
37 | self._bidutils = None
|
---|
38 | self.getReporter().log(logging.INFO, "party is initialized")
|
---|
39 | self._profile = None
|
---|
40 | self._lastReceivedBid: Bid = None
|
---|
41 |
|
---|
42 | """
|
---|
43 | this will create the opponent model
|
---|
44 | """
|
---|
45 | self.opponentModel = FrequencyOpponentModel.create()
|
---|
46 |
|
---|
47 | """
|
---|
48 | baselineAcceptableUtility is a utility value for which we accept immediately
|
---|
49 | """
|
---|
50 | self.baselineAcceptableUtility = 0.95
|
---|
51 |
|
---|
52 | """
|
---|
53 | hardballOpponentUtilityDelta is the opponent utility change value over which an opponnent is considered to be playing hardball
|
---|
54 | """
|
---|
55 | self.hardballOpponentUtilityDelta = -0.005
|
---|
56 |
|
---|
57 | """
|
---|
58 | timePassedAccept is a fixed amount of time passed in the negotiation after which we accept
|
---|
59 | """
|
---|
60 | self.timePassedAccept = 0.95
|
---|
61 |
|
---|
62 | """
|
---|
63 | timePassedConcede is a fixed amount of time passed in the negotiation when our agent starts conceding more
|
---|
64 | """
|
---|
65 | self.timePassedConcede = 0.75
|
---|
66 |
|
---|
67 | """
|
---|
68 | These two variables will show the average utility-change of their and our agent, throughout their offerings.
|
---|
69 | This excludes the jump from no offer to the initial offer. Note that the first bid this will return None, so
|
---|
70 | there must be a check for this.
|
---|
71 | """
|
---|
72 | self.theirAverageUtilityChangeByTheirBids = None
|
---|
73 | self.ourAverageUtilityChangeByTheirBids = None
|
---|
74 |
|
---|
75 | """
|
---|
76 | These variables help with the calculation of 'theirAverageUtilityChangeByTheirBids' and
|
---|
77 | 'ourAverageUtilityChangeByTheirBids'.
|
---|
78 | """
|
---|
79 | self.sumChangeOurUtilitiesByTheirBids = 0
|
---|
80 | self.sumChangeTheirUtilitiesByTheirBids = 0
|
---|
81 | self.ourUtilityLastTimeByTheirBids = 0
|
---|
82 | self.theirUtilityLastTimeByTheirBids = 0
|
---|
83 |
|
---|
84 | """
|
---|
85 | Matas: These variables enable our bidding strategy
|
---|
86 | """
|
---|
87 | self.ourBestBids = []
|
---|
88 | self.opponentsBestBids = []
|
---|
89 | self.roundsSinceBidRecalibration = 0
|
---|
90 | self.reCalibrateEveryRounds = 10
|
---|
91 | self.randomBidDiscoveryAttemptsPerTurn = 500
|
---|
92 | self.acceptableUtilityNormalizationWidth = 0.1
|
---|
93 | self.utilityThresholdAdjustmentStep = 0.1
|
---|
94 | self.percentOfTimeWeUseOpponentsBestBidIfItIsBetter = 0.7
|
---|
95 | self.paddingForUsingRandomBid = 0.1
|
---|
96 | self.amountOfBestBidsToKeep = 50
|
---|
97 | self.bidsToKeepBasedOnProgressScale = 0.3
|
---|
98 | self.opponentNicenessConceedingContributionScale = 0.3
|
---|
99 |
|
---|
100 | def notifyChange(self, info: Inform):
|
---|
101 | """This is the entry point of all interaction with your agent after is has been initialised.
|
---|
102 |
|
---|
103 | Args:
|
---|
104 | info (Inform): Contains either a request for action or information.
|
---|
105 | """
|
---|
106 |
|
---|
107 | # a Settings message is the first message that will be send to your
|
---|
108 | # agent containing all the information about the negotiation session.
|
---|
109 | if isinstance(info, Settings):
|
---|
110 | self._settings: Settings = cast(Settings, info)
|
---|
111 | self._me = self._settings.getID()
|
---|
112 |
|
---|
113 | # progress towards the deadline has to be tracked manually through the use of the Progress object
|
---|
114 | self._progress: ProgressRounds = self._settings.getProgress()
|
---|
115 |
|
---|
116 | # the profile contains the preferences of the agent over the domain
|
---|
117 | self._profile = ProfileConnectionFactory.create(
|
---|
118 | info.getProfile().getURI(), self.getReporter()
|
---|
119 | )
|
---|
120 |
|
---|
121 | # create and initialize opponent-model
|
---|
122 | profile = self._profile.getProfile()
|
---|
123 | self.opponentModel = self.opponentModel.With(
|
---|
124 | profile.getDomain(), profile.getReservationBid())
|
---|
125 |
|
---|
126 | # ActionDone is an action send by an opponent (an offer or an accept)
|
---|
127 | elif isinstance(info, ActionDone):
|
---|
128 | action: Action = cast(ActionDone, info).getAction()
|
---|
129 |
|
---|
130 | # if it is an offer, set the last received bid
|
---|
131 | if isinstance(action, Offer):
|
---|
132 | self._lastReceivedBid = cast(Offer, action).getBid()
|
---|
133 |
|
---|
134 | """
|
---|
135 | Important caveat: anytime we do an offer the program also passes this part and updates the
|
---|
136 | last_received bid with the offer we made.
|
---|
137 |
|
---|
138 | The reason that their variable is called 'lastReceivedBid' is that we access it during our turn and
|
---|
139 | during our turn this is always the last bid done by the opponent.
|
---|
140 |
|
---|
141 | For this reason, we first check if the Action does not contain our id before updating the
|
---|
142 | opponent model.
|
---|
143 | """
|
---|
144 | if cast(Offer, action).getActor() is not self._me:
|
---|
145 | self.opponentModel = self.opponentModel.WithAction(
|
---|
146 | action, self._progress)
|
---|
147 | self._updateOpponentModel()
|
---|
148 |
|
---|
149 | # YourTurn notifies you that it is your turn to act
|
---|
150 | elif isinstance(info, YourTurn):
|
---|
151 | action = self._myTurn()
|
---|
152 | if isinstance(self._progress, ProgressRounds):
|
---|
153 | self._progress = self._progress.advance()
|
---|
154 | self.getConnection().send(action)
|
---|
155 |
|
---|
156 | # Finished will be send if the negotiation has ended (through agreement or deadline)
|
---|
157 | elif isinstance(info, Finished):
|
---|
158 | # terminate the agent MUST BE CALLED
|
---|
159 | self.terminate()
|
---|
160 | else:
|
---|
161 | self.getReporter().log(
|
---|
162 | logging.WARNING, "Ignoring unknown info " + str(info)
|
---|
163 | )
|
---|
164 |
|
---|
165 | # lets the geniusweb system know what settings this agent can handle
|
---|
166 | # leave it as it is for this competition
|
---|
167 | def getCapabilities(self) -> Capabilities:
|
---|
168 | return Capabilities(
|
---|
169 | set(["SAOP"]),
|
---|
170 | set(["geniusweb.profile.utilityspace.LinearAdditive"]),
|
---|
171 | )
|
---|
172 |
|
---|
173 | # terminates the agent and its connections
|
---|
174 | # leave it as it is for this competition
|
---|
175 | def terminate(self):
|
---|
176 | self.getReporter().log(logging.INFO, "party is terminating:")
|
---|
177 | super().terminate()
|
---|
178 | if self._profile is not None:
|
---|
179 | self._profile.close()
|
---|
180 | self._profile = None
|
---|
181 |
|
---|
182 |
|
---|
183 |
|
---|
184 | # give a description of your agent
|
---|
185 |
|
---|
186 | def getDescription(self) -> str:
|
---|
187 | return "Agent55"
|
---|
188 |
|
---|
189 | # execute a turn
|
---|
190 | def _myTurn(self):
|
---|
191 | self._updateUtilSpace()
|
---|
192 |
|
---|
193 | # Generate a bid according to our current acceptable utility
|
---|
194 | (aGoodBid, nashProduct) = self._generateAGoodBid()
|
---|
195 |
|
---|
196 | # Update our best bid store and fetch the best bid
|
---|
197 | (currentBestOurBid, currentBestOurBidNashProduct) = self._updateBidsAndGetBestBid(
|
---|
198 | self.ourBestBids, aGoodBid, nashProduct, floor(self.amountOfBestBidsToKeep * (1 - self._progress.get(time.time() * 1000)) * self.bidsToKeepBasedOnProgressScale))
|
---|
199 |
|
---|
200 | currentBestBid = currentBestOurBid
|
---|
201 | currentBestBidNashProduct = currentBestOurBidNashProduct
|
---|
202 |
|
---|
203 | # If we have a bid from the opponent, store it in the opponent's best bid store
|
---|
204 | (currentBestTheirBid, currentBestTheirBidNashProduct) = (None, 0)
|
---|
205 | if self._lastReceivedBid is not None:
|
---|
206 | (currentBestTheirBid, currentBestTheirBidNashProduct) = self._updateBidsAndGetBestBid(
|
---|
207 | self.opponentsBestBids, self._lastReceivedBid, self._getNashProduct(self._lastReceivedBid), 1)
|
---|
208 |
|
---|
209 | # print("Our best stored bid: {}, their best stored bid: {}".format(
|
---|
210 | # currentBestOurBidNashProduct, currentBestTheirBidNashProduct))
|
---|
211 |
|
---|
212 | # Pick which best bid we are using as base. Slight random bias towards our best bid. Also the opponent best bid must be more favorable to us.
|
---|
213 | if currentBestOurBidNashProduct < currentBestTheirBidNashProduct \
|
---|
214 | and self.percentOfTimeWeUseOpponentsBestBidIfItIsBetter > uniform(0, 1) \
|
---|
215 | and self._profile.getProfile().getUtility(currentBestTheirBid) > self.opponentModel.getUtility(currentBestTheirBid):
|
---|
216 |
|
---|
217 | currentBestBid = currentBestTheirBid
|
---|
218 | currentBestBidNashProduct = currentBestTheirBidNashProduct
|
---|
219 |
|
---|
220 | # Use a newly generated bid instead of offering an optimal one with a random chance that is higher at the beginning and lower at the end.
|
---|
221 | # Moreover, use the freshly generated bids if we are conceding.
|
---|
222 | if currentBestBid is None or self._progress.get(time.time() * 1000) + self.paddingForUsingRandomBid < uniform(0, 1) or self._progress.get(time.time() * 1000) > self.timePassedConcede:
|
---|
223 | currentBestBid = aGoodBid
|
---|
224 | currentBestBidNashProduct = nashProduct
|
---|
225 |
|
---|
226 | if self._isAcceptable(self._lastReceivedBid, currentBestBid):
|
---|
227 | # if so, accept the offer
|
---|
228 | action = Accept(self._me, self._lastReceivedBid)
|
---|
229 | else:
|
---|
230 | # if not, propose a counter offer
|
---|
231 |
|
---|
232 | action = Offer(self._me, currentBestBid)
|
---|
233 |
|
---|
234 | # send the action
|
---|
235 | return action
|
---|
236 |
|
---|
237 | def _isOpponentPlayingHardball(self) -> bool:
|
---|
238 | if self.theirAverageUtilityChangeByTheirBids is None:
|
---|
239 | return False
|
---|
240 |
|
---|
241 | return self.theirAverageUtilityChangeByTheirBids > self.hardballOpponentUtilityDelta
|
---|
242 |
|
---|
243 | def _getHardballFactor(self) -> Decimal:
|
---|
244 | timeLeft = self._progress.get(time.time() * 1000)
|
---|
245 |
|
---|
246 | # high hardball factor before conceding time
|
---|
247 | if timeLeft <= self.timePassedConcede:
|
---|
248 | return 20
|
---|
249 |
|
---|
250 | # opponent is not playing hardball so we can concede less
|
---|
251 | if not self._isOpponentPlayingHardball():
|
---|
252 | return 14
|
---|
253 |
|
---|
254 | return 8
|
---|
255 |
|
---|
256 | def _getAcceptableUtility(self) -> Decimal:
|
---|
257 | timePassed = self._progress.get(time.time() * 1000)
|
---|
258 | timeLeft = 1 - timePassed
|
---|
259 | # the higher the factor the less we concede
|
---|
260 | hardballFactor = self._getHardballFactor()
|
---|
261 |
|
---|
262 | return Decimal(log10(timeLeft) / hardballFactor + self.baselineAcceptableUtility)
|
---|
263 |
|
---|
264 | # method that checks if we should accept an offer
|
---|
265 | def _isAcceptable(self, lastReceivedBid: Bid, proposedBid: Bid) -> bool:
|
---|
266 | if lastReceivedBid is None or proposedBid is None:
|
---|
267 | return False
|
---|
268 |
|
---|
269 | profile = self._profile.getProfile()
|
---|
270 |
|
---|
271 | if profile.getUtility(lastReceivedBid) >= profile.getUtility(proposedBid):
|
---|
272 | return True
|
---|
273 |
|
---|
274 | return self._isGood(lastReceivedBid)
|
---|
275 |
|
---|
276 | # method that checks if an offer is considered good
|
---|
277 | def _isGood(self, lastReceivedBid: Bid) -> bool:
|
---|
278 | if lastReceivedBid is None:
|
---|
279 | return False
|
---|
280 |
|
---|
281 | progress = self._progress.get(time.time() * 1000)
|
---|
282 |
|
---|
283 | if progress >= self.timePassedAccept:
|
---|
284 | return True
|
---|
285 |
|
---|
286 | profile = self._profile.getProfile()
|
---|
287 | utility = profile.getUtility(lastReceivedBid)
|
---|
288 |
|
---|
289 | if utility >= self.baselineAcceptableUtility:
|
---|
290 | return True
|
---|
291 |
|
---|
292 | return utility >= self._getAcceptableUtility()
|
---|
293 |
|
---|
294 | def _generateAGoodBid(self) -> tuple[Bid, Decimal]:
|
---|
295 | # Use the expexted opponent utility to set a range to find a bid that is acceptable to us
|
---|
296 |
|
---|
297 | # Starting points
|
---|
298 | acceptableUtility = self._getAcceptableUtility()
|
---|
299 | maxUtility = 1
|
---|
300 |
|
---|
301 | # Decrease our max utility if the opponent is taking losses according to our model
|
---|
302 | if self._progress.get(time.time() * 1000) > self.timePassedConcede:
|
---|
303 | maxUtility -= (Decimal(self._progress.get(time.time() * 1000)) *
|
---|
304 | Decimal(self.opponentNicenessConceedingContributionScale) * (1 - self.theirUtilityLastTimeByTheirBids))
|
---|
305 |
|
---|
306 | # Normalize in case we decrease maxUtil by too much.
|
---|
307 | if maxUtility <= acceptableUtility:
|
---|
308 | acceptableUtility = maxUtility - \
|
---|
309 | Decimal(self.acceptableUtilityNormalizationWidth)
|
---|
310 |
|
---|
311 | # Attempt to generate a bid, and adjust our utility thresholds if necessary
|
---|
312 | while maxUtility <= 1 or acceptableUtility >= 0:
|
---|
313 | generatedBid, nash = self._generateAGoodBidGivenMinMaxUtil(
|
---|
314 | acceptableUtility, maxUtility)
|
---|
315 | if generatedBid is None:
|
---|
316 |
|
---|
317 | # Adjust thresholds. First expand the max utility, then reduce the min utility.
|
---|
318 | if maxUtility < 1:
|
---|
319 | maxUtility = min(
|
---|
320 | maxUtility + Decimal(self.utilityThresholdAdjustmentStep), 1)
|
---|
321 | else:
|
---|
322 | acceptableUtility = max(
|
---|
323 | acceptableUtility - Decimal(self.utilityThresholdAdjustmentStep), 0)
|
---|
324 |
|
---|
325 | else:
|
---|
326 | return generatedBid, nash
|
---|
327 |
|
---|
328 | # All atempts have failed. Generate a random bid.
|
---|
329 | return self._generateRandomBid()
|
---|
330 |
|
---|
331 | def _generateAGoodBidGivenMinMaxUtil(self, acceptableUtility, maxUtility) -> tuple[Bid, Decimal]:
|
---|
332 | currentAvailableBids = self._bidutils.getBids(
|
---|
333 | Interval(acceptableUtility, Decimal(maxUtility))
|
---|
334 | )
|
---|
335 |
|
---|
336 | # If no available bids, we can't generate a bid.
|
---|
337 | if currentAvailableBids.size() == 0:
|
---|
338 | return None, 0
|
---|
339 |
|
---|
340 | goodBid = currentAvailableBids.get(
|
---|
341 | randint(0, currentAvailableBids.size() - 1))
|
---|
342 | nash = self._getNashProduct(goodBid)
|
---|
343 |
|
---|
344 | return goodBid, nash
|
---|
345 |
|
---|
346 | def _updateBidsAndGetBestBid(self, bestBids, bestBidFromThisTurn, nashProduct, nBestBids) -> Bid:
|
---|
347 | self.roundsSinceBidRecalibration += 1
|
---|
348 |
|
---|
349 | # Must at least pick one option
|
---|
350 | if nBestBids < 1:
|
---|
351 | nBestBids = 1
|
---|
352 |
|
---|
353 | # After a certain amount of rounds has passed, we recallibrate our bid storage
|
---|
354 | if self.roundsSinceBidRecalibration >= self.reCalibrateEveryRounds:
|
---|
355 | self.roundsSinceBidRecalibration = 0
|
---|
356 |
|
---|
357 | # Update and prune
|
---|
358 | updatedRaw = [self._popAndUpdate(bestBids)
|
---|
359 | for i in range(min(len(bestBids), self.amountOfBestBidsToKeep))]
|
---|
360 |
|
---|
361 | bestBids.clear()
|
---|
362 | [heapq.heappush(bestBids, x)
|
---|
363 | for x in updatedRaw]
|
---|
364 |
|
---|
365 | # Invert the nash product since heapq is a min queue
|
---|
366 | invertedNashProduct = 1 - nashProduct
|
---|
367 | heapq.heappush(bestBids,
|
---|
368 | (invertedNashProduct, MaxHeapObj(bestBidFromThisTurn)))
|
---|
369 |
|
---|
370 | # Pick a bid close to the Nash Equilibrium
|
---|
371 | toPickFrom = heapq.nsmallest(min(nBestBids, len(bestBids)), bestBids)
|
---|
372 |
|
---|
373 | (currentBestInvertedNashProduct,
|
---|
374 | currentBestBid) = toPickFrom[randint(0, len(toPickFrom) - 1)]
|
---|
375 |
|
---|
376 | # Invert nash product and return
|
---|
377 | return currentBestBid.val, 1 - currentBestInvertedNashProduct
|
---|
378 |
|
---|
379 | def _getNashProduct(self, bid) -> Decimal:
|
---|
380 | utility = self._profile.getProfile().getUtility(bid)
|
---|
381 | opponentUtility = self.opponentModel.getUtility(bid)
|
---|
382 | return utility * opponentUtility
|
---|
383 |
|
---|
384 | def _popAndUpdate(self, bestBids):
|
---|
385 | x = heapq.heappop(bestBids)
|
---|
386 | return (self._getNashProduct(x[1].val), x[1])
|
---|
387 |
|
---|
388 | def _updateUtilSpace(self) -> LinearAdditive:
|
---|
389 | newutilspace = self._profile.getProfile()
|
---|
390 | if not newutilspace == self._utilspace:
|
---|
391 | self._utilspace = newutilspace
|
---|
392 | self._bidutils = BidsWithUtility.create(self._utilspace)
|
---|
393 | return self._utilspace
|
---|
394 |
|
---|
395 | def _generateRandomBid(self) -> tuple[Bid, Decimal]:
|
---|
396 | domain = self._profile.getProfile().getDomain()
|
---|
397 | all_bids = AllBidsList(domain)
|
---|
398 | bid = None
|
---|
399 |
|
---|
400 | # Try to generate a good random bid
|
---|
401 | for _ in range(self.randomBidDiscoveryAttemptsPerTurn):
|
---|
402 | candidate = all_bids.get(randint(0, all_bids.size() - 1))
|
---|
403 | if self._isGood(candidate):
|
---|
404 | bid = candidate
|
---|
405 | break
|
---|
406 |
|
---|
407 | # If no good ones found within the allocated attempt count, pick at random
|
---|
408 | if bid is None:
|
---|
409 | bid = all_bids.get(randint(0, all_bids.size() - 1))
|
---|
410 |
|
---|
411 | nash = self._getNashProduct(bid)
|
---|
412 |
|
---|
413 | return bid, nash
|
---|
414 |
|
---|
415 | """
|
---|
416 | This method maintains all extensions of the opponent model. Everytime the opponent makes an offer, this gets
|
---|
417 | updated. Currently the method maintains the following extensions:
|
---|
418 | * theirAverageUtilityChangeByTheirBids
|
---|
419 | * ourAverageUtilityChangeByTheirBids
|
---|
420 | """
|
---|
421 |
|
---|
422 | def _updateOpponentModel(self):
|
---|
423 |
|
---|
424 | ###This block calculates: ourAverageUtilityChangeByTheirBids and TheirAverageUtilityChangeByTheirBids ########
|
---|
425 |
|
---|
426 | ourUtilityThisBid = self._profile.getProfile().getUtility(self._lastReceivedBid)
|
---|
427 | theirUtilityThisBid = self.opponentModel.getUtility(
|
---|
428 | self._lastReceivedBid)
|
---|
429 | bidCount = self.opponentModel._totalBids
|
---|
430 |
|
---|
431 | # if it's the first offer
|
---|
432 | if bidCount == 1:
|
---|
433 | self.ourUtilityLastTimeByTheirBids = ourUtilityThisBid
|
---|
434 | self.theirUtilityLastTimeByTheirBids = theirUtilityThisBid
|
---|
435 | else:
|
---|
436 | ourDifference = ourUtilityThisBid - self.ourUtilityLastTimeByTheirBids
|
---|
437 | theirDifference = theirUtilityThisBid - self.theirUtilityLastTimeByTheirBids
|
---|
438 |
|
---|
439 | self.sumChangeOurUtilitiesByTheirBids += ourDifference
|
---|
440 | self.sumChangeTheirUtilitiesByTheirBids += theirDifference
|
---|
441 |
|
---|
442 | self.theirAverageUtilityChangeByTheirBids = self.sumChangeTheirUtilitiesByTheirBids / \
|
---|
443 | (bidCount - 1)
|
---|
444 | self.ourAverageUtilityChangeByTheirBids = self.sumChangeOurUtilitiesByTheirBids / \
|
---|
445 | (bidCount - 1)
|
---|
446 |
|
---|
447 | self.ourUtilityLastTimeByTheirBids = ourUtilityThisBid
|
---|
448 | self.theirUtilityLastTimeByTheirBids = theirUtilityThisBid
|
---|
449 | ###End of calculation: ourAverageUtilityChangeByTheirBids and TheirAverageUtilityChangeByTheirBids ########
|
---|
450 |
|
---|
451 | # helper for heap
|
---|
452 |
|
---|
453 |
|
---|
454 | class MaxHeapObj(object):
|
---|
455 | def __init__(self, val): self.val = val
|
---|
456 | def __lt__(self, other): return True
|
---|
457 | def __eq__(self, other): return True
|
---|