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The Castle on the Hill

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  • David K Levine

Abstract

A simple example of a stochastic games with irreversibility is studied and it is shown that the folk theorem fails in a robust way. In this game of Castle on the Hill, for a broad range of discount factors, including those close to me, equilibrium is unique. Moreover, the equilibrium for large discount factors is Pareto dominated by the equilibrium for low discount factors. A unique cyclic equilibrium is also possible for intermediate ranges of discount factors. (Copyright: Elsevier)
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  • David K Levine, 2000. "The Castle on the Hill," Levine's Working Paper Archive 2068, David K. Levine.
    • Handle: RePEc:cla:levarc:2068
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    File URL: http://www.dklevine.com/papers/castle.pdf
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    3. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    4. Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June.
    5. E. Maskin & D. Fudenberg, 1984. "The Folk Theorem and Repeated Games with Discount and with Incomplete Information," Working papers 310, Massachusetts Institute of Technology (MIT), Department of Economics.
    6. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-948, July.
    7. Dutta, P.K., 1991. "A Folk Theorem for Stochastic Games," RCER Working Papers 293, University of Rochester - Center for Economic Research (RCER).
    8. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-1180, December.
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    Cited by:

    1. David K Levine & Aldo Rustichini, 2000. "Introduction: The Dynamic Games Special Issue," Levine's Working Paper Archive 2127, David K. Levine.
    2. David K. Levine & Aldo Rustichini, 2000. "Introduction," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 213-215, April.
    3. Pim Heijnen & Lammertjan Dam, 2019. "Catastrophe and Cooperation," Dynamic Games and Applications, Springer, vol. 9(1), pages 122-141, March.

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