A lottery Blotto game with heterogeneous items of asymmetric valuations

Geofferey Jiyun Kim; Jerim Kim; Bara Kim

doi:10.1016/j.econlet.2018.09.001

A lottery Blotto game with heterogeneous items of asymmetric valuations

Geofferey Jiyun Kim, Jerim Kim, Bara Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We develop a multi-player lottery Blotto game in which each contested item can be valuated differently by involved agents and in which each contested item can be differently valuated from other contested items. We prove that the Blotto game with a finite number of agents has a Nash equilibrium. We characterize all Nash equilibria for the case of two agents.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Economics Letters
Volume	173
DOIs	https://doi.org/10.1016/j.econlet.2018.09.001
State	Published - Dec 2018

Keywords

Asymmetric valuations
Heterogeneous items
Lagrange multiplier
Lottery Blotto game
Nash equilibria

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10.1016/j.econlet.2018.09.001

Cite this

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title = "A lottery Blotto game with heterogeneous items of asymmetric valuations",

abstract = "We develop a multi-player lottery Blotto game in which each contested item can be valuated differently by involved agents and in which each contested item can be differently valuated from other contested items. We prove that the Blotto game with a finite number of agents has a Nash equilibrium. We characterize all Nash equilibria for the case of two agents.",

keywords = "Asymmetric valuations, Heterogeneous items, Lagrange multiplier, Lottery Blotto game, Nash equilibria",

author = "Kim, {Geofferey Jiyun} and Jerim Kim and Bara Kim",

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AU - Kim, Bara

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N2 - We develop a multi-player lottery Blotto game in which each contested item can be valuated differently by involved agents and in which each contested item can be differently valuated from other contested items. We prove that the Blotto game with a finite number of agents has a Nash equilibrium. We characterize all Nash equilibria for the case of two agents.

AB - We develop a multi-player lottery Blotto game in which each contested item can be valuated differently by involved agents and in which each contested item can be differently valuated from other contested items. We prove that the Blotto game with a finite number of agents has a Nash equilibrium. We characterize all Nash equilibria for the case of two agents.

KW - Asymmetric valuations

KW - Heterogeneous items

KW - Lagrange multiplier

KW - Lottery Blotto game

KW - Nash equilibria

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JO - Economics Letters

JF - Economics Letters

ER -

A lottery Blotto game with heterogeneous items of asymmetric valuations

Abstract

Keywords

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