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One-sided Games in a War of Attrition

Author

Listed:
  • Yasushi Asako

    (School of Political Science and Economics, Waseda University)

Abstract

This study develops a war-of-attrition model with the asymmetric feature that one player can be defeated by the other but not vice versa; that is, only one player has an exogenous probability of being forced to capitulate. With complete information, the equilibria are almost identical to the canonical war-of-attrition model. On the other hand, with incomplete information on a player's robustness, a war where both players fight for some duration emerges. Moreover, a player who is never defeated may capitulate in equilibrium, and this player will give in earlier if the other player's fighting costs are greater.

Suggested Citation

  • Yasushi Asako, 2015. "One-sided Games in a War of Attrition," Working Papers 1420, Waseda University, Faculty of Political Science and Economics.
    • Handle: RePEc:wap:wpaper:1420
    as

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    File URL: http://www.waseda.jp/fpse/winpec/assets/uploads/2015/02/No.E1420Yasushi-Asako.pdf
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    References listed on IDEAS

    as
    1. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    2. repec:bla:econom:v:56:y:1989:i:221:p:15-24 is not listed on IDEAS
    3. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
    4. 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.
    5. Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
    6. Kyungmin Kim & Frances Zhiyun Xu Lee, 2014. "Information Acquisition in a War of Attrition," American Economic Journal: Microeconomics, American Economic Association, vol. 6(2), pages 37-78, May.
    7. Janusz A. Ordover & Ariel Rubinstein, 1986. "A Sequential Concession Game with Asymmetric Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 879-888.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    war; attrition; Bayesian learning; asymmetric robustness;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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