Rationality and bounded information in repeated games, with application to the iterated Prisoner's Dilemma

Journal of Mathematical Psychology

Volumn 48, Issue 5, 2004, Pages 334-354

  Jones, Matt ^a,b   Zhang, Jun ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Bounded rationality; Competitive Markov decision process; Cooperation; Game theory; Information; Prisoner's Dilemma; Repeated game; Stochastic game; Subgame perfect equilibrium

Indexed keywords

EID: 10144226393     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmp.2004.08.003     Document Type: Article

References (29)

1. D. Abreu A. Rubinstein The structure of Nash equilibrium in repeated games with finite automata Econometrica 56 6 1988 1259-1281
2. Aumann, R. J. (1981). Survey of repeated games. In: V. Bohm and H. Nachtkamp (Eds.), Essays in game theory and mathematical economics in honor of Oskar Morgenstern. Zurich: Bibliographisches Institut
3. R.J. Aumann L.S. Shapley Long-term competition: A game-theoretic analysis. In: N. Megiddo (Ed.). Essays in game theory 1994 Springer New York
4. R. Axelrod The evolution of cooperation 1984 Basic Books New York
5. E. Ben-porath Repeated games with finite automata Journal of Economic Theory 59 1 1993 17-32
6. D. Blackwell Discounted dynamic programming The Annals of Mathematical Statistics 36 1 1965 226-235
7. J.A. Filar K. Vrieze Competitive Markov decision processes 1997 Springer New York
8. A.M. Fink Equilibrium in a stochastic N-person game Journal of Science in Hiroshima University, Series A-I 28 1964 89-93
9. J.W. Friedman A non-cooperative equilibrium for supergames Review of Economic Studies 38 1971 1-12
10. D. Fudenberg E.S. Maskin The folk theorem in repeated games with discounting or incomplete information Econometrica 54 1986 533-554
11. D. Fudenberg E.S. Maskin On the dispensability of public randomization in discounted repeated games Journal of Economic Theory 53 1991 428-438
12. J. Hu M.P. Wellman Multiagent reinforcement learning theoretical framework and an algorithm. In: J. Shavlik (Ed.). Proceedings of the 15th international conference on machine learning 1998 Morgan Kaufmann San Francisco, CA 242-250
13. Jones, M. (2003). Temporal information and adaptive nationality. Ph.D. thesis, University of Michigan. [Abs., Dissertation Abstracts International 64 (2-B), 979]
14. E. Kalai W. Stanford Finite rationality and interpersonal complexity in repeated games Econometrica 56 2 1988 397-410
15. E. Lehrer Repeated games with stationary bounded recall strategies Journal of Economic Theory 46 1 1988 130-144
16. D. Luce H. Raiffa Games and decisions 1957 Dover Publications New York (pp. 94-102)
17. M. Milinski Tit-for-tat in sticklebacks and the evolution of cooperation Nature 325 6103 1987 433-435
18. J.F. Nash Equilibrium points in N-person games Proceedings of the National Academy of Sciences 36 1950 48-49
19. J. von Neumann O. Morgenstern Theory of games and economic behavior 1944 Princeton University Press Princeton, NJ
20. A. Neyman Bounded complexity justifies cooperation in the finitely repeated Prisoners Dilemma Economics Letters 19 3 1985 227-229
21. M.J. Osborne A. Rubinstein A course in game theory 1994 MIT Press Cambridge, MA
22. A. Rapoport A.M. Chammah Prisoner's Dilemma: A study in conflict and cooperation 1965 The University of Michigan Press Ann Arbor, MI
23. A. Rubinstein Equilibrium in supergames with the overtaking criterion Journal of Economic Theory 21 1979 1-9
24. A. Rubinstein Finite automata play repeated prisoner's dilemma Journal of Economic Theory 39 1 1986 83-96
25. A. Rubinstein Equilibrium in supergames. In: N. Megiddo (Ed.). Essays in game theory 1994 Springer New York
26. Selten, R. (1965). Spieltheoretische Behandlung eines Oligopolmodells mit Nachfrageträgheit. Zeitschrift für die gesamte Staatswissenschaft, 121, 301-324 & 667-689
27. D.O. Stahl The graph of Prisoner's Dilemma supergame payoffs as a function of the discount factor Games and Economic Behavior 3 1991 368-384
28. Watkins, C. J. C. H. (1989). Learning from delayed rewards. Ph.D. thesis, Cambridge University
29. G.S. Wilkinson Reciprocal food sharing in the vampire bat Nature 308 5955 1984 181-184