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One-Sided Games in a War of Attrition

Author

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  • Asako Yasushi

    (School of Political Science and Economics, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo 169-8050, Japan)

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

  • Asako Yasushi, 2015. "One-Sided Games in a War of Attrition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 15(2), pages 313-331, July.
    • Handle: RePEc:bpj:bejtec:v:15:y:2015:i:2:p:313-331:n:11
    DOI: 10.1515/bejte-2014-0078
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    References listed on IDEAS

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    1. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
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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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