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A silent battle over a cake

Author

Listed:
  • Gonzalez-Diaz, J.
  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • Norde, H.W.

    (Tilburg University, School of Economics and Management)

Abstract

The division of a cake by n players is modeled as a game of timing. We show that such games admit a unique Nash equilibrium.
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Suggested Citation

  • Gonzalez-Diaz, J. & Borm, P.E.M. & Norde, H.W., 2007. "A silent battle over a cake," Other publications TiSEM ee591ade-52d0-4cd8-944f-2, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:ee591ade-52d0-4cd8-944f-21cb9d29341d
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/783536/cake.pdf
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    References listed on IDEAS

    as
    1. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    2. V. J. Baston & A. Y. Garnaev, 2000. "On a game in manufacturing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(2), pages 237-249, November.
    3. Hendricks, Ken & Weiss, Andrew & Wilson, Charles A, 1988. "The War of Attrition in Continuous Time with Complete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 663-680, November.
    4. Laraki, Rida & Solan, Eilon & Vieille, Nicolas, 2005. "Continuous-time games of timing," Journal of Economic Theory, Elsevier, vol. 120(2), pages 206-238, February.
    5. Jennifer F. Reinganum, 1981. "On the Diffusion of New Technology: A Game Theoretic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 395-405.
    6. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    7. Fudenberg, Drew & Gilbert, Richard & Stiglitz, Joseph & Tirole, Jean, 1983. "Preemption, leapfrogging and competition in patent races," European Economic Review, Elsevier, vol. 22(1), pages 3-31, June.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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