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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. Operations Research Letters, 49(3):418-425.

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:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Scopus Subject Areas:Physical Sciences > Software
Social Sciences & Humanities > Management Science and Operations Research
Physical Sciences > Industrial and Manufacturing Engineering
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Colonel Blotto games, private information, Bayes–Nash equilibrium, generalized Dirichlet distributions, networks
Scope:Discipline-based scholarship (basic research)
Language:English
Date:May 2021
Deposited On:03 May 2021 08:55
Last Modified:25 Apr 2024 01:36
Publisher:Elsevier
ISSN:0167-6377
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/j.orl.2021.03.010
Related URLs:https://doi.org/10.5167/uzh-176995
Other Identification Number:merlin-id:21043
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)