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Repeated Games played by Cryptographically Sophesticated Players

  • Gossner, O.

One of the main goals of bounded rationality models is to understand the limitations of agent's abilities in building representations of strategic situations as maximization problems and in solving these problems. Modern cryptography relies on the assumption that agents's computations should be implementable by polynominal Turing machines and on the exstence of a trapdoor function. Uder those assumption, we prove that very correlated equilibrium of the original infinitely repreated game can be implemented through public communication only.

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Paper provided by Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor. in its series Papers with number 99-07.

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Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pnegmi:99-07
Contact details of provider: Postal: THEMA, Universite de Paris X-Nanterre, U.F.R. de science economiques, gestion, mathematiques et informatique, 200, avenue de la Republique 92001 Nanterre CEDEX.

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  1. Urbano, A. & Vila, J. E., 2004. "Unmediated communication in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 46(1), pages 143-173, January.
  2. Binmore, Ken, 1987. "Modeling Rational Players: Part I," Economics and Philosophy, Cambridge University Press, vol. 3(02), pages 179-214, October.
  3. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November.
  4. Binmore, Ken, 1988. "Modeling Rational Players: Part II," Economics and Philosophy, Cambridge University Press, vol. 4(01), pages 9-55, April.
  5. Amparo Urbano & Penélope Hernández, 2001. "Communication And Automata," Working Papers. Serie AD 2001-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
  7. Robert J. Aumann & Lloyd S. Shapley, 2013. "Long Term Competition -- A Game-Theoretic Analysis," Annals of Economics and Finance, Society for AEF, vol. 14(2), pages 627-640, November.
  8. Ben-Porath Elchanan, 1993. "Repeated Games with Finite Automata," Journal of Economic Theory, Elsevier, vol. 59(1), pages 17-32, February.
  9. José E. Vila & Amparo Urbano Salvador, 1997. "Pre-play communication and coordination in two-player games," Working Papers. Serie AD 1997-26, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. José E. Vila & Amparo Urbano, 1999. "- Unmediated Talk Under Incomplete Information," Working Papers. Serie AD 1999-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  11. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
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