This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

A 'Super' Folk Theorem for Dynastic Repeated Games

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Luca Anderlini
Dino Gerardi
Roger Lagunoff () (Department of Economics, Georgetown University)

Additional information is available for the following registered author(s):

Abstract

We analyze “dynastic” repeated games. A stage game is repeatedly played by successive generations of finitely-lived players with dynastic preferences. Each individual has preferences that replicate those of the infinitely-lived players of a standard discounted infinitely-repeated game. When all players observe the past history of play, the standard repeated game and the dynastic game are equivalent 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 of the stage game) 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. We are also able to characterize entirely when a Sequential Equilibrium of the dynastic repeated game can yield a payoff vector not sustainable as a Subgame Perfect Equilibrium of the standard repeated game. For this to be the case it must be that the players’ equilibrium beliefs violate a condition that we term “Inter-Generational Agreement.” Classification-JEL Codes: C72, C73, D82

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.georgetown.edu/faculty/la2/folktheorem.pdf
File Format: application/pdf
File Function: Full text
Download Restriction: None

Publisher Info
Paper provided by Georgetown University, Department of Economics in its series Working Papers with number gueconwpa~06-06-01.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation:
Date of revision:
Handle: RePEc:geo:guwopa:gueconwpa~06-06-01

Contact details of provider:
Postal: Georgetown University Department of Economics Washington, DC 20057-1036
Phone: 202-687-6074
Fax: 202-687-6102
Email:
Web page: http://econ.georgetown.edu/

Order Information:
Postal: Marcia Suss Administrative Officer Georgetown University Department of Economics Washington, DC 20057-1036
Email:
Web: http://econ.georgetown.edu/

For technical questions regarding this item, or to correct its listing, contact: (Marcia Suss).

Related research
Keywords: Dynastic Repeated Games; Private Communication; Folk Theorem;

Other versions of this item:

This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Andrew Schotter & Barry Sopher, 2003. "Social Learning and Coordination Conventions in Intergenerational Games: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 498-529, June. [Downloadable!] (restricted)
    Other versions:
  2. Smith, Lones, 1992. "Folk theorems in overlapping generations games," Games and Economic Behavior, Elsevier, vol. 4(3), pages 426-449, July. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  5. James Bergin, 2006. "The folk theorem revisited," Economic Theory, Springer, vol. 27(2), pages 321-332, January. [Downloadable!] (restricted)
  6. Roger Lagunoff & Akihiko Matsui, 2001. "Organizations and Overlapping Generations Games: Memory, Communication, and Altruism," Game Theory and Information 0103002, EconWPA. [Downloadable!]
    Other versions:
  7. Piccione, Michele & Rubinstein, Ariel, 1997. "On the Interpretation of Decision Problems with Imperfect Recall," Games and Economic Behavior, Elsevier, vol. 20(1), pages 3-24, July. [Downloadable!] (restricted)
    Other versions:
  8. Bhaskar, V, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 135-49, January. [Downloadable!] (restricted)
    Other versions:
  9. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-48, July. [Downloadable!] (restricted)
  10. Kandori, Michihiro, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 63-80, January. [Downloadable!] (restricted)
  11. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  12. 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. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
    Other versions:
  14. 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. [Downloadable!]
    Other versions:
  15. Luca Anderlini & Roger Lagunoff, 2005. "Communication in dynastic repeated games: ‘Whitewashes’ and ‘coverups’," Economic Theory, Springer, vol. 26(2), pages 265-299, 08. [Downloadable!] (restricted)
    Other versions:
  16. 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 847-69, November.
  17. 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. [Downloadable!]
  18. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "Social Memory and Evidence from the Past," Cowles Foundation Discussion Papers 1601, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  19. Matthews, Steven A. & Okuno-Fujiwara, Masahiro & Postlewaite, Andrew, 1991. "Refining cheap-talk equilibria," Journal of Economic Theory, Elsevier, vol. 55(2), pages 247-273, December. [Downloadable!] (restricted)
    Other versions:
    • 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. [Downloadable!]
  20. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 23-38, January. [Downloadable!] (restricted)
    Other versions:
  21. Ben-Porath, Elchanan & Kahneman, Michael, 1996. "Communication in Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 70(2), pages 281-297, August. [Downloadable!] (restricted)
  22. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August. [Downloadable!] (restricted)
    Other versions:
  23. Dean Corbae & Ted Temzelides & Randall Wright, 2002. "Matching and Money," American Economic Review, American Economic Association, vol. 92(2), pages 67-71, May. [Downloadable!]
  24. Kandori, Michihiro, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 81-92, January. [Downloadable!] (restricted)
  25. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May. [Downloadable!] (restricted)
  26. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "A `Super Folk Theorem' in Dynastic Repeated Games," Levine's Bibliography 321307000000000926, UCLA Department of Economics. [Downloadable!]
  27. Cremer, Jacques, 1986. "Cooperation in Ongoing Organizations," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 33-49, February. [Downloadable!] (restricted)
  28. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01. [Downloadable!] (restricted)
  29. Ellison, Glenn, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Blackwell Publishing, vol. 61(3), pages 567-88, July. [Downloadable!] (restricted)
  30. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October. [Downloadable!] (restricted)
    Other versions:
  31. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July. [Downloadable!] (restricted)
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "Social Memory and Evidence from the Past," Cowles Foundation Discussion Papers 1601, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? You can include your works in the database easily by uploading them on the Munich Personal RePEc Archive (MPRA) if you do not have access to an institutional RePEc archive.

This page was last updated on 2009-10-18.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.