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A Class of N-player Colonel Blotto games with multidimensional private information

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  • Christian Ewerhart
  • Dan Kovenock

Abstract

In this paper, we study N-player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M ≥ N + 1 battlefields, we identify a Bayes-Nash equilibrium in which the resource allocation to a given battlefield is strictly monotone in the valuation of that battlefield. We also explore extensions such as heterogeneous budgets, the case M ≤ N, full-support type distributions, and network games.

Suggested Citation

  • Christian Ewerhart & Dan Kovenock, 2019. "A Class of N-player Colonel Blotto games with multidimensional private information," ECON - Working Papers 336, Department of Economics - University of Zurich, revised Feb 2021.
    • Handle: RePEc:zur:econwp:336
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    References listed on IDEAS

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    More about this item

    Keywords

    Colonel Blotto games; private information; Bayes-Nash equilibrium; generalized Dirichlet distributions; networks;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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