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


Ewerhart, Christian; Kovenock, Dan (2021). A class of N-player Colonel Blotto games with multidimensional private information. Working paper series / Department of Economics 336, University of Zurich.

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.

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.

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Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Economics
Working Paper Series > Department of Economics
Dewey Decimal Classification:330 Economics
JEL Classification:C72, D72, D82
Uncontrolled Keywords:Colonel Blotto games, private information, Bayes-Nash equilibrium, generalized Dirichlet distributions, networks, Netzwerk, Nash-Gleichgewicht, Ressourcenallokation
Language:English
Date:February 2021
Deposited On:15 Nov 2019 13:46
Last Modified:02 Feb 2021 14:19
Series Name:Working paper series / Department of Economics
Number of Pages:23
ISSN:1664-705X
Additional Information:Revised version
OA Status:Green
Official URL:https://www.econ.uzh.ch/static/release/workingpapers.php?id=1015

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