A Stay-in-a-Set Game without a Stationary Equilibrium

We give an example of a finite-state two-player turn-based stochastic game with safety objectives for both players which has no stationary Nash equilibrium. This answers an open question of Secchi and Sudderth.

Bibliographic Details
Main Authors: Kristoffer Arnsfelt Hansen, Mikhail Raskin
Format: Article
Language:English
Published: Open Publishing Association 2019-09-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1903.11935v2