A Class of N-Player Colonel Blotto Games with Multidimensional Private Information

University of Zurich, Department of Economics, Working Paper No. 336, Revised version

25 Pages Posted: 30 Nov 2019 Last revised: 3 Feb 2021

See all articles by Christian Ewerhart

Christian Ewerhart

University of Zurich, Department of Economics

Dan Kovenock

Chapman University - Economic Science Institute; CESifo (Center for Economic Studies and Ifo Institute)

Date Written: February 1, 2021

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.

Keywords: Colonel Blotto games, private information, Bayes-Nash equilibrium, generalized Dirichlet distributions, networks

JEL Classification: C72, D72, D82

Suggested Citation

Ewerhart, Christian and Kovenock, Daniel, A Class of N-Player Colonel Blotto Games with Multidimensional Private Information (February 1, 2021). University of Zurich, Department of Economics, Working Paper No. 336, Revised version, Available at SSRN: https://ssrn.com/abstract=3487546 or http://dx.doi.org/10.2139/ssrn.3487546

Christian Ewerhart (Contact Author)

University of Zurich, Department of Economics ( email )

Schoenberggasse 1
Zurich, CH-8001
Switzerland

Daniel Kovenock

Chapman University - Economic Science Institute ( email )

1 University Drive
Orange, CA 92866
United States

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

HOME PAGE: http://www.CESifo.de

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