Existence of equilibria in discontinuous Bayesian games

Wei He; Nicholas C. Yannelis

doi:10.1016/j.jet.2015.12.009

Existence of equilibria in discontinuous Bayesian games

Wei He, Nicholas C. Yannelis

Economics

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

Abstract

We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players' payoff functions to be discontinuous in actions, and illustrate the usefulness of our results via an example of an all-pay auction with general tie-breaking rules which cannot be handled by extant results.

Original language	English
Pages (from-to)	181-194
Number of pages	14
Journal	Journal of Economic Theory
Volume	162
DOIs	https://doi.org/10.1016/j.jet.2015.12.009
Publication status	Published - Mar 2016

Keywords

Discontinuous Bayesian game
Behavioral strategy
Random disjoint payoff matching
Equilibrium existence
All-pay auction

Access to Document

10.1016/j.jet.2015.12.009

Cite this

@article{9eb0a03dc95b46fa9e15d865425d8c5b,

title = "Existence of equilibria in discontinuous Bayesian games",

abstract = "We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players' payoff functions to be discontinuous in actions, and illustrate the usefulness of our results via an example of an all-pay auction with general tie-breaking rules which cannot be handled by extant results.",

keywords = "Discontinuous Bayesian game, Behavioral strategy, Random disjoint payoff matching, Equilibrium existence, All-pay auction",

author = "Wei He and Yannelis, {Nicholas C.}",

year = "2016",

month = mar,

doi = "10.1016/j.jet.2015.12.009",

language = "English",

volume = "162",

pages = "181--194",

journal = "Journal of Economic Theory",

issn = "0022-0531",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Existence of equilibria in discontinuous Bayesian games

AU - He, Wei

AU - Yannelis, Nicholas C.

PY - 2016/3

Y1 - 2016/3

N2 - We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players' payoff functions to be discontinuous in actions, and illustrate the usefulness of our results via an example of an all-pay auction with general tie-breaking rules which cannot be handled by extant results.

AB - We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players' payoff functions to be discontinuous in actions, and illustrate the usefulness of our results via an example of an all-pay auction with general tie-breaking rules which cannot be handled by extant results.

KW - Discontinuous Bayesian game

KW - Behavioral strategy

KW - Random disjoint payoff matching

KW - Equilibrium existence

KW - All-pay auction

U2 - 10.1016/j.jet.2015.12.009

DO - 10.1016/j.jet.2015.12.009

M3 - Article

SN - 0022-0531

VL - 162

SP - 181

EP - 194

JO - Journal of Economic Theory

JF - Journal of Economic Theory

ER -

Existence of equilibria in discontinuous Bayesian games

Abstract

Keywords

Access to Document

Fingerprint

Cite this