IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

A 'Super' Folk Theorem for Dynastic Repeated Games

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."

If you experience problems downloading a file, check if you have the proper application to view it first. 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://www8.georgetown.edu/departments/economics/pdf/601.pdf
File Function: Full text
Download Restriction: None

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

as
in new window

Length:
Date of creation: 01 Jun 2006
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
Web page: http://econ.georgetown.edu/
Email:

Order Information: Postal: Roger Lagunoff Professor of Economics Georgetown University Department of Economics Washington, DC 20057-1036
Web: http://econ.georgetown.edu/ Email:


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.:

as in new window
  1. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
  2. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "Social Memory and Evidence from the Past," Working Papers gueconwpa~07-07-01, Georgetown University, Department of Economics.
  3. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "Communication and Learning," Carlo Alberto Notebooks 82, Collegio Carlo Alberto, revised 2010.
  4. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  5. Luca Anderlini & Roger Lagunoff, 2000. "Communication in Dynastic Repeated Games: 'Whitewashes' and 'Coverups'," Working Papers gueconwpa~01-01-03, Georgetown University, Department of Economics, revised 01 Jul 2001.
  6. 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.
  7. 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.
  8. V. Bhaskar, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 135-149.
  9. 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.
  10. 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.
  11. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  12. 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.
  13. Johnson, Philip & Levine, David K. & Pesendorfer, Wolfgang, 2001. "Evolution and Information in a Gift-Giving Game," Journal of Economic Theory, Elsevier, vol. 100(1), pages 1-21, September.
  14. 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.
  15. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  16. Roger Lagunoff & Akihiko Matsui, 2001. "Organizations and Overlapping Generations Games: Memory, Communication, and Altruism," Game Theory and Information 0103002, EconWPA.
  17. Ben-Porath, E. & Kahneman, M., 1993. "Communication in Repeated Games with Private Monitoring," Papers 15-93, Tel Aviv - the Sackler Institute of Economic Studies.
  18. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "A `Super Folk Theorem' in Dynastic Repeated Games," Levine's Bibliography 321307000000000926, UCLA Department of Economics.
  19. Dean Corbae & Ted Temzelides & Randall Wright, 2002. "Matching and Money," American Economic Review, American Economic Association, vol. 92(2), pages 67-71, May.
  20. Joseph Farrell., 1986. "Meaning and Credibility in Cheap-Talk Games," Economics Working Papers 8609, University of California at Berkeley.
  21. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 63-80.
  22. Jacques Cremer, 1986. "Cooperation in Ongoing Organizations," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 33-49.
  23. 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.
  24. V. Bhaskar, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 135-149.
  25. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, July.
  26. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2006. "A 'Super' Folk Theorem for Dynastic Repeated Games," Working Papers gueconwpa~06-06-01, Georgetown University, Department of Economics.
  27. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  28. 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.
  29. D. Aliprantis, C. & Camera, G. & Puzzello, D., 2007. "Anonymous markets and monetary trading," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1905-1928, October.
  30. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2004. "The Folk Theorem in Dynastic Repeated Games," Levine's Bibliography 122247000000000577, UCLA Department of Economics.
  31. Smith, Lones, 1992. "Folk theorems in overlapping generations games," Games and Economic Behavior, Elsevier, vol. 4(3), pages 426-449, July.
  32. James Bergin, 2006. "The folk theorem revisited," Economic Theory, Springer, vol. 27(2), pages 321-332, January.
  33. 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.
  34. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
  35. Glenn Ellison, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 567-588.
  36. Michihiro Kandori, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 81-92.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:geo:guwopa:gueconwpa~06-06-01. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marcia Suss)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.