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Communication, Computability, and Common Interest Games

  • Anderlini, Luca

This paper provides a theory of equilibrium selection for one-shot two- player finite-action strategic-form common interest games. A single round of costless unlimited pre-play communication is allowed. Players are restricted to use strategies which are computable in the sense of Church's thesis. The equilibrium notion used involves perturbations which are themselves computable. The only equilibrium payoff vector which survives these strategic restrictions and the computable perturbations is the unique Pareto-efficient one.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 27 (1999)
Issue (Month): 1 (April)
Pages: 1-37

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Handle: RePEc:eee:gamebe:v:27:y:1999:i:1:p:1-37
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Warneryd Karl, 1993. "Cheap Talk, Coordination, and Evolutionary Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 532-546, October.
  2. Binmore, Ken, 1987. "Modeling Rational Players: Part I," Economics and Philosophy, Cambridge University Press, vol. 3(02), pages 179-214, October.
  3. Canning, D., 1990. "Average Behaviour In Learning Models," Papers 156, Cambridge - Risk, Information & Quantity Signals.
  4. Anderlini, L. & Sabourian, H., 1991. "Cooperation and Effective Computability," Papers 167, Cambridge - Risk, Information & Quantity Signals.
  5. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
  6. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214.
  7. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-93, September.
  8. Megiddo, Nimrod, 1989. "On computable beliefs of rational machines," Games and Economic Behavior, Elsevier, vol. 1(2), pages 144-169, June.
  9. Sobel, Joel, 1993. "Evolutionary stability and efficiency," Economics Letters, Elsevier, vol. 42(2-3), pages 301-312.
  10. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, June.
  11. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
  12. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
  13. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
  14. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November.
  15. Spear, Stephen E, 1989. "Learning Rational Expectations under Computability Constraints," Econometrica, Econometric Society, vol. 57(4), pages 889-910, July.
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