Borel Games with Lower-Semi-Continuous Payoffs
Probability
2009-11-18 v1 Logic
Abstract
We prove that every two-player non-zero-sum Borel game with lower-semi-continuous payoffs admits a subgame-perfect -equilibrium. This result complements Example 3 in Solan and Vieille (2003), which shows that a subgame-perfect -equilibrium need not exists when the payoffs are not lower-semi-continuous.
Keywords
Cite
@article{arxiv.0911.3246,
title = {Borel Games with Lower-Semi-Continuous Payoffs},
author = {Ayala Mashiah-Yaakovi and Eilon Solan},
journal= {arXiv preprint arXiv:0911.3246},
year = {2009}
}