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Uniqueness of optimal strategies in captain lotto games

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  • Nadav Amir

Abstract

We consider the class of two-person zero-sum allocation games known as Captain Lotto games (Hart 2014). These are Colonel Blotto type games in which the players have capacity constraints. We show that the players’ optimal strategies are unique in most cases.

Suggested Citation

  • Nadav Amir, 2015. "Uniqueness of optimal strategies in captain lotto games," Discussion Paper Series dp687, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp687
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    1. Myerson, Roger B., 1993. "Incentives to Cultivate Favored Minorities Under Alternative Electoral Systems," American Political Science Review, Cambridge University Press, vol. 87(4), pages 856-869, December.
    2. Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 95-124, May.
    3. Sergiu Hart, 2014. "Allocation Games with Caps: From Captain Lotto to All-Pay Auctions," Discussion Paper Series dp670, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    4. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 441-460, March.
    5. Alessandro Lizzeri, 1999. "Budget Deficits and Redistributive Politics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(4), pages 909-928.
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    Cited by:

    1. Boyer, Pierre C. & Konrad, Kai A. & Roberson, Brian, 2017. "Targeted campaign competition, loyal voters, and supermajorities," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 49-62.

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