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


Ewerhart, Christian; Kovenock, Dan (2019). A class of N-player Colonel Blotto games with multidimensional private information. Working paper series / Department of Economics 336, University of Zurich.

Abstract

We consider a class of incomplete-information Colonel Blotto games in which N ≥ 2 agents are engaged in (N + 1) battlefields. An agent's vector of battlefield valuations is drawn from a generalized sphere in Lp-space. We identify a Bayes-Nash equilibrium in which any agent's resource allocation to a given battlefield is strictly monotone in the agent's valuation of that battlefield. In contrast to the single-unit case, however, agents never enjoy any information rent. We also outline an extension to networks of Blotto games.

Abstract

We consider a class of incomplete-information Colonel Blotto games in which N ≥ 2 agents are engaged in (N + 1) battlefields. An agent's vector of battlefield valuations is drawn from a generalized sphere in Lp-space. We identify a Bayes-Nash equilibrium in which any agent's resource allocation to a given battlefield is strictly monotone in the agent's valuation of that battlefield. In contrast to the single-unit case, however, agents never enjoy any information rent. We also outline an extension to networks of Blotto 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, information rents, networks, Netzwerk, Nash-Gleichgewicht, Ressourcenallokation
Language:English
Date:November 2019
Deposited On:15 Nov 2019 13:46
Last Modified:21 Aug 2020 08:28
Series Name:Working paper series / Department of Economics
Number of Pages:17
ISSN:1664-705X
OA Status:Green
Official URL:https://www.econ.uzh.ch/static/release/workingpapers.php?id=1015

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