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Prisoners' Other Dilemma

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  • Spagnolo, Giancarlo

    ()
    (S.S.E., University of Mannheim, and CEPR)

  • Blonski, Matthias

    (Dept. of Economics, University of Mannheim)

Abstract

We find that contrary to common perception, cooperation as equilibrium of the infinitely repeated discounted prisoner's dilemma is in many relevant cases not very plausible, or at least questionable: for a significant subset of the payoff-discount factor parameter space cooperation equilibria are strictly risk dominated by non-cooperation (according to the Harsanyi-Selten 1988 criterion). Examples include collusion equilibria in the repeated Cournot duopoly.

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File URL: http://swopec.hhs.se/hastef/papers/hastef0437.pdf
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Bibliographic Info

Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 437.

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Length: 11 pages
Date of creation: 20 Feb 2001
Date of revision: 20 Feb 2001
Handle: RePEc:hhs:hastef:0437

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Keywords: Prisoner's Dilemma; Risk dominance; Repeated games; Equilibrium selection; Cooperation; Collusion;

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References

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  1. J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
  2. Harsanyi John C., 1995. "A New Theory of Equilibrium Selection for Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 10(2), pages 318-332, August.
  3. Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
  4. Damme, E.E.C. van, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154423, Tilburg University.
  5. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
  6. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
  7. 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, December.
  8. van Damme, Eric, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 47(1), pages 206-217, February.
  9. Damme, E.E.C. van & Hurkens, J.P.M., 1996. "Endogenous Stackelberg Leadership," Discussion Paper 1996-115, Tilburg University, Center for Economic Research.
  10. 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.
  11. van Damme, Eric & Hurkens, Sjaak, 2004. "Endogenous price leadership," Games and Economic Behavior, Elsevier, vol. 47(2), pages 404-420, May.
  12. Ehud Lehrer & Ady Pauzner, 1999. "Repeated Games with Differential Time Preferences," Econometrica, Econometric Society, vol. 67(2), pages 393-412, March.
  13. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  14. Damme, E.E.C. van & Hurkens, J.P.M., 1998. "Endogenous price leadership," Discussion Paper 98.68, Tilburg University, Center for Economic Research.
  15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
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Citations

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Cited by:
  1. Giancarlo Spagnolo, 2004. "Divide et Impera. Optimnal Deterrence Mechanisms Against Cartels and Organized Crime," Econometric Society 2004 North American Winter Meetings 485, Econometric Society.
  2. Gabriele Camera & Marco Casari & Maria Bigoni, 2010. "Cooperative Strategies in Groups of Strangers: An Experiment," Purdue University Economics Working Papers 1237, Purdue University, Department of Economics.
  3. Leliefeld, D. & Motchenkova, E., 2007. "To Protect in Order to Serve: Adverse Effects of Leniency Programs in View of Industry Asymmetry," Discussion Paper 2007-007, Tilburg University, Tilburg Law and Economic Center.
  4. Matthias Blonski & Peter Ockenfels & Giancarlo Spagnolo, 2011. "Equilibrium Selection in the Repeated Prisoner's Dilemma: Axiomatic Approach and Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 164-92, August.
  5. Bigoni, Maria & Le Coq, ChloƩ & Fridolfsson, Sven-Olof & Spagnolo, Giancarlo, 2008. "Risk Aversion, Prospect Theory, and Strategic Risk in Law Enforcement: Evidence From an Antitrust Experiment," Working Paper Series in Economics and Finance 696, Stockholm School of Economics.
  6. Blonski, Matthias & Spagnolo, Giancarlo, 2002. "Relational Contracts and Property Rights," CEPR Discussion Papers 3460, C.E.P.R. Discussion Papers.
  7. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-29, February.

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