Characterizing the value functions of polynomial games

Galit Ashkenazi-Golan, Eilon Solan, Anna Zseleva*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We provide a characterization of the set of real-valued functions that can be the value function of some polynomial game. Specifically, we prove that a function u:R→R is the value function of some polynomial game if and only if u is a continuous piecewise rational function.

Original languageEnglish
Pages (from-to)93-95
Number of pages3
JournalOperations Research Letters
Volume48
Issue number1
DOIs
StatePublished - Jan 2020

Funding

FundersFunder number
NSFC-ISF2510/17
Israel Science Foundation217/17, 722/18

    Keywords

    • Bayesian games
    • Characterization
    • Polynomial game
    • Value

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