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Strategic Commitment Versus Flexibility in a Duopoloy with Entry and Exit

  • Jeffery Ely
  • Johannes Horner
  • Wojciech Olszewski
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    We introduce a class of strategies which generalizes examples constructed in two-player games under imperfect private monitoring. A sequential equilibrium is belief-free if, after every private history, each player.s continuation strategy is optimal independently of his belief about his opponents. private histories. We provide a simple and sharp characterization of equililibrium payos using those strategies. While such strategies have desirable robustness properties, they are not rich enough to generate a folk theorem in most games besides the prisoner's dilemma, even when noise vanishes.

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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/eho15.pdf
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    Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1381.

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    Date of creation: 28 Mar 2004
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    Handle: RePEc:nwu:cmsems:1381
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    1. George J. Mailath & Stephen Morris, 1999. "Repeated Games with Almost-Public Monitoring," CARESS Working Papres almost-pub, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences, revised 01 Sep 2000.
    2. Michihiro Kandori & Ichiro Obara, 2004. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Levine's Bibliography 122247000000000055, UCLA Department of Economics.
    3. D. Fudenberg and E. Maskin., 1987. "Nash and Perfect Equilibria of Discounted Repeated Games," Economics Working Papers 8736, University of California at Berkeley.
    4. Fudenberg, Drew & Maskin, Eric, 1991. "On the dispensability of public randomization in discounted repeated games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 428-438, April.
    5. Bhaskar, V. & Obara, Ichiro, 2002. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 40-69, January.
    6. Mailath George J. & Matthews Steven A. & Sekiguchi Tadashi, 2002. "Private Strategies in Finitely Repeated Games with Imperfect Public Monitoring," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-23, June.
    7. Fudenberg, D. & Levine, D.K., 1991. "Efficiency and Obsevability with Long-Run and Short-Run Players," Working papers 591, Massachusetts Institute of Technology (MIT), Department of Economics.
    8. Michihiro Kandori, 2001. "Introduction to Repeated Games with Private Monitoring," CIRJE F-Series CIRJE-F-114, CIRJE, Faculty of Economics, University of Tokyo.
    9. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 2058, David K. Levine.
    10. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
    11. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
    12. Radner, Roy, 1985. "Repeated Principal-Agent Games with Discounting," Econometrica, Econometric Society, vol. 53(5), pages 1173-98, September.
    13. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
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