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COMP3160 ARTIFICIAL INTELLIGENCE
创建日期：2024-03-30 09:51:36
标签： COMP3160
ARTIFICIAL INTELLIGENCE
COMP3160 ARTIFICIAL INTELLIGENCE
Assignment 2 FINAL (Weight: 20%)
Evolutionary Algorithms for Adversarial Game Playing
Due: 11:55pm, Nov 06, 2020 (Friday, Week 13)
The goal of this assignment is to appreciate the efficacy of Evolutionary Algorithms, specif-
ically Genetic Algorithm (GA), in the context of game theory. In this assignment you will
be using the DEAP package for Genetic Algorithm in order to evolve strategies for repeat-
edly playing 3-Person Prisoners Dilemma described below with a different storyline:1
Three old friends, P1, P2 and P3, always wanted to skydive but never got the oppor-
tunity. An opportunity arose when they met each other recently in Sydney for a class
reunion, and decided to go for it. There are two skydiving packages available: the
BasicTandem package (pay a certain fee and dive with an instructor), and the Tandem-
Plus package (pay an additional $600, and also get specially videoed from multiple
angles while diving, and keep the video). All three friends think TandemPlus is better
than BasicTandem. They also think it is not worth the extra $600, but would be willing
to pay up to $300 extra for it instead. It is understood that they will evenly split the
total cost of their skydiving. Nonetheless they are thrilled at the prospect of this joint
adventure, and the ensuing pleasure is valued at $400 by each. Each friend orders the
package she wants without consultation or communication with others. If you were
P1, would you opt B (the BasicTandem package), or P (the TandemPlus package)?
Pj & Pk
0 B 1 B 2 Bs
Pi
B 0 2 4
P 1 3 7
Table 1: Payoffs to Pi, under how many of {Pj, Pk} play B; 1 unit = $100.
The payoff matrix for 3PD is given in Table 1. To see how this table is meant to
be used, suppose both P1 and P2 choose the basic package, but P3 chooses the plus
package. We want to calculate P2’s payoff. Setting i = 2 and {j, k} = {1, 3}, we see
Pi plays B (so payoffs in top row), and only one of Pj and Pk plays B (so we restrict to
the column under 1B); and determine that P2’s payoff is 2 (valued at $200). It is easily
verified that that is the case. The extra cost $600 due to P3’s choice of P is evenly split
between the three, P2 contributing $200 towards it. From the perspective of P2, this
extra cost is more than compensated by the pleasure she gets (valued $400), and so her
net gain is $200, represented as 2 in Table 1. The payoffs to each of the three friends
under alternative arrangements (e.g., if all of them opt P) can be similarly verified.
You will be using the DEAP package for Genetic Algorithm in order to evolve strategies
for playing Iterated 3-Player Prisoners Dilemma (3IPD). Two papers on the application of
GA to PD – one to IPD and the other to nIPD – are provided in the Assignment folder.
1Also called the Unscrupulous Diners Dilemma
1
Task Specification
Note: You are advised to go through the two supplied papers:
i “Using GA to Develop Strategies for IPD,” by A Haider, and
ii “An Experimental Study of N-Person IPD Games,” by X Yao and PJ. Darwen
in the given order before proceeding with the assignment tasks. Give particular attention
to Sections 4.1 and 2.1 of the respective works.
1. BACKGROUND KNOWLEDGE ASSESSMENT [3 marks]
(a) Analysing the Payoff matrix provided in Table 1, determine if a Nash Equilib-
rium exists for the game 3PD. If so, identify at least one of its Nash Equilibria,
and explain why it is so.
(b) Suppose we want to represent strategies for playing 3IPD of memory depth 2
in the context of GA. How many bits shall we need to represent the individuals,
and why? Answer in no more than 50 words.
(c) Consider a strategy (individual/chromosome) of memory-depth 2 for playing
3IPD. Explain how you would represent the memory bits and the default moves
in this individual.
2. IMPLEMENTATION IN PYTHON [15 marks]
(a) Implement the function:
payoff_to_ind1(individual1, individual2,
individual3, game):
returns payoff to individual1
Note: payoff is determined by latest moves obtained from respective appro-
priate memory locations of the individuals and the provided payoff matrix for
the game game. (Assume that the game is 3PD and memory-depth is 2.)
(b) Implement the function:
move_by_ind1(individual1, individual2,
individual3, round):
returns individual1’s move
Note: individual1’s next move is based on all the three individuals’ earlier
moves and individual1’s strategy (encoded in individual1’s chromo-
some). The move to be returned can be B/P, or C/D, or 0/1 depending on
your representation. Note that in early rounds some default moves are made.
Assume memory-depth of 2.
(c) Implement the function:
process_move(individual, move, memory_depth):
returns success / failure
Note: individual’s relevant memory bits are appropriately updated based
on its latest move move and memory depth.
2
(d) Implement the function:
def eval_function(individual1, individual2,
individual3, m_depth, n_rounds):
returns score to individual1
Note: individual1 iteratively plays 3PD against the other two for a num-
ber of rounds given by n rounds, and its score is returned.
(e) Implement, using the DEAP package, genetic evolution of strategies for play-
ing 3IPD. Assume a memory depth of 2. Based on your implementation, briefly
describe the best 3IPD-individual you generated via GA, and what parameters
(fitness function, type of crossover, mutation rate, etc.) you used for that pur-
pose. Explain why you chose those specific parameters.
3. ANALYSIS [2 marks]
(a) Describe in English the behaviour of the 3IPD-strategy you obtained via task 2e
above. Exploit any pattern you notice in it for this purpose.
(b) What would you consider to be a good counterpart of the strategy Tit for Tat
in 3IPD? Compare it with the best strategy you obtained via task 2e in terms
of traits such as being nice, being forgiving and being provocable. Make an
attempt to explain any major difference in these two strategies in terms of their
payoff structures.

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关键词一 关键词二 关键词三 关键词四 关键词五 和法规和的发更好的风格和 ECON 615 FINC 612 CSC148 COMP 639 ACCT 203 ACCT 211 PSYC 101 MTH2009 COMP52315 PSYCO 432 statistics MATH4063 11 xxx 1 MA1MSP MAST30028 MATH3888 CS341 EEE30002 ES2F5 MCD4160 CC0933 ECON 1101 MCHM3001 CHEM3118 COMMGMT 2511 COMP41280 STAT 631 24T1 IRE379 SENG365 ECON433 FIT3139 MATH4602 LING5621M FINS5516 ECON3208 MN2177 L2 SM EEET1415 Finance DS4023 COMP3004 7CCSMRTS K1S5B6 Stat230 CSCI4211 CSI2132 ECON30130 MAS6100 ENVS222 COM2107 INFO1112 STAT 4004 FIT2100 comp2022 COMP4691 Physics 307 Econ 659 probability CSCI316 fir29 CSCI203 COMP3160 COMP6714 INFO1113 Physics 7B Physics Photonics S203031 STAT2005 COMP90015 CSCI 2110 CSCC46 Information CSC477 COMP4650 Statistical COMP 346 COMP1017 ELEC340 MATH1007 Programming function STAT 244 CS 134 Java cse13s Math 108A FW20 ECON3389 CSE 130 Science 331 COMP9020 engineering COSC 445 CSE 5523 GAME2012 visualization MATH 235 Math 370 CSC343 COGS 108 EE524 COMP10200 STAT 416 3FK4 MSCI 311 ECON6113 ACC40700 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EARN 5 FE 825 IERG 5130 STAT 8178 EE161 ADS2 G54FUZ CS326 113B ECN 226 QBUS6860 ELEC3202 COMP9334 MGT11B MET CS 777 STA238 00099F Python SMM306 CMT206 EC116 SP MAST90084 CS480/680 BCPM0091 CMPT 300 ECON2209 FY20 STAT 432 CVEN9625 MATH1712 CMP9771M CMP3750M CIS 325 AI506 MAT344H1S MGT7180 PSTAT 160B CSYS5010 1D STAT 453/558 ME152B STA304H1F CSCI-128 ME428 CO3002 FINE 7640 COMP3234 ECSE 223 EE497 – 3D MATH5905 ECS648U ENG5009 MATH10242 EC665 A CPI221 ISOM5220 MACE40402 MGT B456F COMP9315 AFM 113 STAT 778 CS 564 MA231 CS 230 CS 124 COMP5511 CSC317 ITEC1010 ELEC207 INFT 3019 7CCMFM06 EE 161 5G ECLT5810 MATH 7349 CS526 O2 COMP90054 ELE00063M ACCT5034 ARC1015 CSCI 40 CSCI E40 FIN 524B CS 462 389COM CMT309 MFIN703 COMP4250 STA304 STA304H1S STA 1003 FIN 448 BUFN 732 CS520 CVEN3701 ECMT6006 PHAS0100 CSIT314 MDIA 5028 CSCI 2134 MAT 451 CMPT 459 STAT 457 INFO20003 COMP4141 IELE8066 F540 ECM9 CSE 6321 FIN 430 MATH3911 BFC5916 COMP1011 EEE 6209 STATS 240 CW3 COMP206 COMP1003 4331W ISE 530 CMPT 295 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MATH20602 COMP532 MAS275 COMP5318 COMP4002 FIT5086 MAST20004 FIT3152 FIT5129 CIS2380 CS521 COMP 1005 EECMS CITS5501 ECE 462 ECON 6002 ENG 4051 CSC 648 CMT654 MECHENG 713 PHYS1002 AMME 2000 FP0060 DDES3200 MECHENG 743 BINF90002 FIT2081 ISYS90081 ELECTENG 722 BUS 360 ECOS3010 BUS2810 ETF2100 ENG2048 STAT5002 COMP2017 CEME 2003 MATS3004 COMP9319 PHYS1001 COMP5349 AMME2261 COMP-381 FIT3173 COSC2757 ENG4025 QBUS2820 COMP9414 MATH2021 EOSC118 MFIN6690 PMATH 321 CSE-141L MATH575A COMPSCI5002 COMP1511 management comp2123 FINS3616 COMP 3331 COMS30034 DTSC 71 AcF 702 AcF702 DTSC71 MAT021 ELE8083 ACFI213 EG-127J 127J FIT5163 FIT2001 ELE00113M CMT310 CS 245 ENGL 1101 MTH6115 EE497 CS 325 Math 124A MTH5130 MBA502 MGT 5380 ARCH 1261 F033800 20LLP109 ELE4009 FINANCIAL COMP3331 Computer ECE4179 20T3 COMP9311 COMP9311 UNSW MFIN6210 ACCT 5930 EE590 ENG2029 ECO100 SIT315 ACCT3610 COMP3600 STK2100 FIT2004 COMP30020 ACTL1101 Stat 101B BANA 200 COSC2473 ENGG1400 AI COMP90043 MMF 1914H PHYS 127 CS584 CIVL2010 ECMT2150 CS 333 CP1406 KIT308 Economics 701 ECON3740 ECE 5759 BFC3340 FINC2012 COMP4500 MATH3871 FIT3080 18-819C Economic ECO202Y5Y PHY100 FINC-780 Econ 100B EC602 IE582 EE450 COMP9517 WRDS 150B ECON 570 LECTURE 2 ECA5101 ECE 4420 ADAD9311 FIT3031 CS 544 MF 703 CS 6140 KIT501 ENGSCI 344 CSC171 IE 332 FINM8007 21S2 COSC 1114 FE545 E471 SIT102 CSC108 MAT301 IAE 101 COP3503 STAT2004 EC 303 CS1026 STAT1203 MATH3171 ISOM5160 IFN657 FIT2014 ACCT2102 DSCI550 STATS 330 ELEC421 COMP3670 QBUS6840 MEES:698B MAST30027 MIET1077 Economics IFT 6758 FIT5122 BUSN5101 CptS 111 HRMT5502 Math2018 PP 312 INFS3200 CZ3005 CSSE1001 SENG 2011 MKTG 553Q BUFN 640 COMP507 ETF5952 DATA 311 ECE4043 BANK3011 finance M3H623544 HW1 INFS 7410 AI6103 STAT3888 INFS3208 ACCT7103 ECOS3013 PSYCH 20B F79MA STAT3006 ENGG952 2X MGSC 7000 ECE4132 MSF 526 MATH 3033 CDS 511 EEEE4120 EEET2465 ECA5103 MATH2070 ELEC3104 BU51019 EEE8147 ENGR20003 COSC 1107 ETF3200 FNCE 435 MSFI 435 ISyE6420 GENG4405 HW ETC5523 IE 7315 MOEC0021 STA 106 ENGG 1300A ENGG 1300 OLET1139 STAT 3503 STAT 206 FEM11149 ELEN 4720 COMP20003 SOLA1070 CS574 C11CS LINB29H3 MAST90083 ECON7200 STAT 610 LINB29 DSM-5 COMP3161 EEEN40010 MATH 4431 K353 STA 3386 IERG4300 COMS W4167 ENG5298 AMME 2302 CS3910 COMPSCI 320 STATS 369 GR5242 COSC 328 CSCI435 MGTS1301 INFS2200 COMP3900 CIS 375 Module AE03 COMP3121 CS260 HAM503 MGMT5050 INT3075 COSC 285 GEOL0029 GEGE2X01 STAT1201 MATH1061 MMF1941H STAT 5060 CS 520 COMP 4320 MSIN0104 000T FINS3648 ECMT2160 ECON4003 Phys 129L CSE 142 CS 3130 MGEB01 EECS 340 Finance (20443/20444) ECMM149 COMP5310 EEEN60180 CSC 111 AT2 CSCI 4430 STAB57 MA/CSC 427 MATH322 D100 CSCI544 CITS3004 CI6227 CSE 565 APCO 1P01 852L1 ELEC S411F COMP3207 STATS330 ECON7530 FIT5149 CSI4104 CMPT 371 COMP201 SEHS4696 FI4003 MATH6182 CG1 WS MATH401 MGT 205 QTM 110 COMP 0137 MACE12201 FIT5210 ECE 544 BISM7206 HUDM 6055 ECON3203 STATS 210 MSCI 570 MATH6173 COMPSCI4039 Accounting COM3503 AOE2024 ECON213 PSYC10004 Control Data 100/200A PHIL2617 PHYS3116 MIE250 BCPM0008 ECN 620 QBUS6830 ECSE-415 ECON5102 MGMT20005 MAT 653 ECO 480 COMP 5/600 CSSE 5600 ME 571 7CCMMS61 CS 550 COMP2865 MATH3075 STATS 506 QTM 220 ISYS2120 FIT5106 STAT 153 MKTG3112 ECON2102 ELE2018 COMP3031 MSIN0010 SCC461 MATH237 CS246 CSC3065 CSE 101 ICTWEB411 COMP9313 ECOS 2025 FN620 MATH11111 MATH 3018 KE1068 FINA 6112 C++ MISM 6202 MSIN0105 CSC8631 MECO6935 COMP4121 ACCT2011 DPBS1150 EEL 3701C F19PL OPM 661 CSE 310 CS918 BIOL30001 ACCT3563 BANK3600 MET CS622 MATH367 ACCT5907 Continuing COMP5048 COMP61021 CS3334 GSOE9210 CSCI-570 COMP 5322 HW 2 ALY-6020 IEOR 4706 DATA 200 EBUS504 CGE12412 COMP4108 7SSMM800 ECMM171P MATE50002 CS225 RS 6003 BH2274 ELEC3111 MAT6669 ECON-UA 227 PHIL 1012 7SSMM603 TB028A P6 ECS708 CSC 427 CS6476 CSE 250A A1A2 ITS61504 EECS 376 model HW6 UV0010 ECON 6074 MG4F7 CMP-7030Y INFO3008 BFIP013 ECON 5068 MATH6002 CS3483 PSTAT 131 C31FM CSOR W4246 AAEC 5307 DATA ELEC362 COMSM0047 ECN6006 MA20224 BST351 MATH 323 MATH323 AA2021 COMP3811 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ACCOUNTING BUSS1040 CHEM 181 MAT136H1 GY 6183 COMP3170 AGRI90089 PHYSICS 1002 ECON10003 IEOR E4004 ACS61012 MATH 40550 MKTG2113 TELE4653 ENSC1004 ECE 232E MK726 MTRX2700 SHEET 3 CSCA08 COMP30027 Math 2XX3 statistic MMAN3200 BISM7213 ECMM109 ECON 2022 FNCE 20005 GR5067 CSCB09 ME 3017 CS 5100 PHYS 2903 COMS 4771 COMP222 COMP 1046 CSC148H1 ISYS2038 FINS2615 OT5206 COMP2048 A6 MECH5770M MA826/20 CMPT 726 STA457 INFS6071 INFS588 integral ECON 216 IRDR 0017 MA323 PA 15213 PSYC2001 ENV222 Statistics ACCT5930 ACCT12 LAND2121 ME 5405 COMM1180 TELE3113 A7 ECE 568 ACCT2019 INFS1200 ENGG1340 CS 1400 ASST3 FINM7409 SWEN30006 INFO2222 FIN20150 SOSS1000 CSSE7231 FINS5513 COMS3200 CECN 702 ECON4060H MN3515 HW2 PSYA02H3 ECON 2112 COMP90051 CS 1652 MA30059 AF1605 MKTG7501 ECO-6003B COM4521 CTM ECON3350 COMP 3804 ELEC9762 BISM 7255 ST22 MATH20014 MNE3122 COMP343 MATH5165 ELE7029 ENGR30002 SEEM3500 ECON7350 RISK5002 FINM7405 COMP90059 MOS 3320B STAT 431 BISM7221 MATH3014 MTH783P EBA 35302 ACS133 BUS2206 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