Skip to main content

Research Repository

Advanced Search

Proportional resource allocation in dynamic n-player Blotto games

Anbarci, Nejat; Cingiz, Kutay; Ismail, Mehmet S.

Proportional resource allocation in dynamic n-player Blotto games Thumbnail


Authors

Kutay Cingiz

Mehmet S. Ismail



Abstract

In this note, we introduce a general model of dynamic
n-player multi-battle Blotto contests in which asymmetric resources and non-homogeneous battlefield prizes are possible. Each player’s probability of winning the prize in a battlefield is governed by a ratio-form contest success function and players’ resource allocation on that battlefield. We show that there exists a pure subgame perfect equilibrium in which players allocate their resources in proportion to the battlefield prizes for every history. We also give a sufficient condition that if there are two players and the contest success function is of Tullock type, then the subgame perfect equilibrium is unique.

Citation

Anbarci, N., Cingiz, K., & Ismail, M. S. (2023). Proportional resource allocation in dynamic n-player Blotto games. Mathematical Social Sciences, 125, 94-100. https://doi.org/10.1016/j.mathsocsci.2023.07.002

Journal Article Type Article
Acceptance Date Jul 6, 2023
Online Publication Date Jul 12, 2023
Publication Date 2023-09
Deposit Date Aug 16, 2023
Publicly Available Date Aug 16, 2023
Journal Mathematical Social Sciences
Print ISSN 0165-4896
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 125
Pages 94-100
DOI https://doi.org/10.1016/j.mathsocsci.2023.07.002
Keywords Statistics, Probability and Uncertainty; General Psychology; General Social Sciences; Sociology and Political Science
Public URL https://durham-repository.worktribe.com/output/1719280

Files






You might also like



Downloadable Citations