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Social and Behavioral Sciences Commons

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2021

Chapman University

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Full-Text Articles in Social and Behavioral Sciences

A Class Of N-Player Colonel Blotto Games With Multidimensional Private Information, Christian Ewerhart, Dan Kovenock Feb 2021

A Class Of N-Player Colonel Blotto Games With Multidimensional Private Information, Christian Ewerhart, Dan Kovenock

ESI Working Papers

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.