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The Folk Theorem in Dynastic Repeated Games

A canonical interpretation of an infinitely repeated game is that of a "dynastic" repeated game: a stage game repeatedly played by successive generations of finitely-lived players with dynastic preferences. These two models are in fact equivalent when the past history of play is observable to all players. In our model all players live one period and do not observe the history of play that takes place before their birth, but instead receive a private message from their immediate predecessors. Under very mild conditions, when players are sufficiently patient, all feasible payoff vectors (including those below the minmax) can be sustained as a Sequential Equilibrium of the dynastic repeated game with private communication. The result applies to any stage game for which the standard Folk Theorem yields a payoff set with a non-empty interior. Our results stem from the fact that, in equilibrium, a player may be unable to communicate effectively relevant information to his successor in the same dynasty. This, in turn implies that following some histories of play the players' equilibrium beliefs may violate "Inter-Generational Agreement."

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Paper provided by Georgetown University, Department of Economics in its series Working Papers with number gueconwpa~04-04-09.

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Date of creation: 09 Apr 2004
Handle: RePEc:geo:guwopa:gueconwpa~04-04-09
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Georgetown University Department of Economics Washington, DC 20057-1036

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Order Information: Postal: Roger Lagunoff Professor of Economics Georgetown University Department of Economics Washington, DC 20057-1036
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  1. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
  2. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2004. "The Folk Theorem in Dynastic Repeated Games," Levine's Bibliography 122247000000000577, UCLA Department of Economics.
  3. Michihiro Kandori, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 81-92.
  4. Shotter, A. & Sopher, B., 2001. "Advice and Behavior in Intergenerational Ultimatum Games: An Experimental Approach," Working Papers 01-04, C.V. Starr Center for Applied Economics, New York University.
  5. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
  6. Ben-Porath, E. & Kahneman, M., 1993. "Communication in Repeated Games with Private Monitoring," Papers 15-93, Tel Aviv - the Sackler Institute of Economic Studies.
  7. Sabourian, Hamid, 1998. "Repeated games with M-period bounded memory (pure strategies)," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 1-35, August.
  8. Aliprantis, C.D. & Camera, Gabriele & Puzzello, D., 2005. "Anonymous Markets and Monetary Trading," Purdue University Economics Working Papers 1179, Purdue University, Department of Economics.
  9. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
  10. Piccione, Michele, 1992. "Finite automata equilibria with discounting," Journal of Economic Theory, Elsevier, vol. 56(1), pages 180-193, February.
  11. Dean Corbae & Ted Temzelides & Randall Wright, 2002. "Matching and Money," American Economic Review, American Economic Association, vol. 92(2), pages 67-71, May.
  12. Piccione Michele & Rubinstein Ariel, 1993. "Finite Automata Play a Repeated Extensive Game," Journal of Economic Theory, Elsevier, vol. 61(1), pages 160-168, October.
  13. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
  14. Roger Lagunoff & Akihiko Matsu, "undated". ""Asynchronous Choice in Repeated Coordination Games''," CARESS Working Papres 96-10, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  15. Roger Lagunoff & Akihiko Matsui, 2004. "Organizations and overlapping generations games: Memory, communication, and altruism," Review of Economic Design, Springer;Society for Economic Design, vol. 8(4), pages 383-411, 04.
  16. Anderlini, Luca & Sabourian, Hamid, 1995. "Cooperation and Effective Computability," Econometrica, Econometric Society, vol. 63(6), pages 1337-1369, November.
  17. Steven A. Matthews & M. Okuno-Fujiwara & Andrew Postlewaite, 1990. "Refining Cheap-Talk Equilibria," Discussion Papers 892R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  18. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  19. Hajime Kobayashi, 2007. "Folk Theorems For Infinitely Repeated Games Played By Organizations With Short-Lived Members," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 517-549, 05.
  20. Philip Johnson & David K. Levine & Wolfgang Pesendorfer, 2000. "Evolution and Information in a Gift Giving Game," Levine's Working Paper Archive 162, David K. Levine.
  21. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Papers 9485, Tilburg - Center for Economic Research.
  22. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 394, David K. Levine.
  23. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "Social Memory and Evidence from the Past," Cowles Foundation Discussion Papers 1601, Cowles Foundation for Research in Economics, Yale University.
  24. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-554, May.
  25. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  26. Jacques Cremer, 1986. "Cooperation in Ongoing Organizations," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 33-49.
  27. Luca Anderlini & Roger Lagunoff, 2001. " Communication in Dynastic Repeated Games: `Whitewashes' and `Coverups' ," Game Theory and Information 0107001, EconWPA.
  28. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October.
  29. Smith, Lones, 1992. "Folk theorems in overlapping generations games," Games and Economic Behavior, Elsevier, vol. 4(3), pages 426-449, July.
  30. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-948, July.
  31. Baliga, S. & Corchon, L.C. & Sjostrom, T., 1995. "The Theory of Implemetation when the Planner is a PLayer," Cambridge Working Papers in Economics 9512, Faculty of Economics, University of Cambridge.
  32. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
  33. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
  34. Salant, David J., 1991. "A repeated game with finitely lived overlapping generations of players," Games and Economic Behavior, Elsevier, vol. 3(2), pages 244-259, May.
  35. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 63-80.
  36. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  37. James Bergin, 2006. "The folk theorem revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 321-332, January.
  38. Chaudhuri, A. & Schotter, A. & Sopher, B., 2001. "Talking Ourselves to Efficiency: Coordination in Inter-Generational Minimum Games with Private, Almost Common and Common Knowledge of Advice," Working Papers 01-11, C.V. Starr Center for Applied Economics, New York University.
  39. Takahashi, Satoru & Wen, Quan, 2003. "On asynchronously repeated games," Economics Letters, Elsevier, vol. 79(2), pages 239-245, May.
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