Finitely Repeated Prisoners' Dilemma with Small Fines: Penance Contract
AbstractWe investigate the finitely repeated prisoners' dilemma with explicit contractual devices. We show that full collusion can be achieved by incentivizing the players' final period of play with small fines. Our incentivizing modality is the penance contract, by which a player is penalized if (and only if) he deviates from the penance strategy in the final period. We show that using this contractual agreement brings the penance strategy profile into unique subgame perfect equilibrium and achieves full collusion without being overturned by renegotiation.
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Bibliographic InfoPaper provided by Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo in its series CARF F-Series with number CARF-F-208.
Length: 18 pages
Date of creation: Mar 2010
Date of revision:
Other versions of this item:
- Hitoshi Matsushima, 2010. "Finitely Repeated Prisoners' Dilemma with Small Fines: Penance Contract," CIRJE F-Series CIRJE-F-720, CIRJE, Faculty of Economics, University of Tokyo.
- NEP-ALL-2010-09-18 (All new papers)
- NEP-GTH-2010-09-18 (Game Theory)
- NEP-MIC-2010-09-18 (Microeconomics)
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.:
- Borm, P.E.M. & De Waegenaere, A.M.B. & Rafels, C. & Suijs, J.P.M. & Tijs, S.H. & Timmer, J.B., 1999.
"Cooperation in Capital Deposits,"
1999-31, Tilburg University, Center for Economic Research.
- Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
- Barton L. Lipman & Ruqu Wang, 1997.
"Switching Costs in Frequently Repeated Games,"
1190, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Fudenberg, Drew & Holmstrom, Bengt & Milgrom, Paul, 1990.
"Short-term contracts and long-term agency relationships,"
Journal of Economic Theory,
Elsevier, vol. 51(1), pages 1-31, June.
- Drew Fudenberg & Bengt Holmstrom & Paul Milgrom, 1987. "Short-Term Contracts and Long-Term Agency Relationships," Working papers 468, Massachusetts Institute of Technology (MIT), Department of Economics.
- Sobel, Joel, 1985. "A Theory of Credibility," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 557-73, October.
- Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
- Abreu Dilip & Matsushima Hitoshi, 1994. "Exact Implementation," Journal of Economic Theory, Elsevier, vol. 64(1), pages 1-19, October.
- Joseph Farrell and Eric Maskin., 1987.
"Renegotiation in Repeated Games,"
Economics Working Papers
8759, University of California at Berkeley.
- Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-23, March.
- Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-22, July.
- Friedman, James W., 1985. "Cooperative equilibria in finite horizon noncooperative supergames," Journal of Economic Theory, Elsevier, vol. 35(2), pages 390-398, August.
- Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
- Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
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