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Non-symmetric discrete General Lotto games

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  • Marcin Dziubiński

Abstract

We study a non-symmetric variant of General Lotto games introduced in Hart (Int J Game Theory 36:441–460, 2008 ). We provide a complete characterization of optimal strategies for both players in non-symmetric discrete General Lotto games, where one of the players has an advantage over the other. By this we complete the characterization given in Hart (Int J Game Theory 36:441–460, 2008 ), where the strategies for symmetric case were fully characterized and some of the optimal strategies for the non-symmetric case were obtained. We find a group of completely new atomic strategies, which are used as building components for the optimal strategies. Our results are applicable to discrete variants of all-pay auctions. Copyright The Author(s) 2013

Suggested Citation

  • Marcin Dziubiński, 2013. "Non-symmetric discrete General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 801-833, November.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:4:p:801-833
    DOI: 10.1007/s00182-012-0324-z
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    References listed on IDEAS

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    More about this item

    Keywords

    General Lotto; Allocation games; All-pay auctions; C72; C02; D44;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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