Characterizing the Value Functions of Polynomial Games
Optimization and Control
2019-10-16 v1
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 is the value function of some polynomial game if and only if is a continuous piecewise rational function.
Keywords
Cite
@article{arxiv.1910.06798,
title = {Characterizing the Value Functions of Polynomial Games},
author = {Galit Ashkenazi-Golan and Eilon Solan and Anna Zseleva},
journal= {arXiv preprint arXiv:1910.06798},
year = {2019}
}