Infinitely Split Nash Equilibrium Problems in Repeated Games
Optimization and Control
2017-12-25 v1 Computer Science and Game Theory
Dynamical Systems
Abstract
In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in [8], we prove an existence theorem. As an application, we study the repeated extended Bertrant duopoly model of price competition.
Cite
@article{arxiv.1712.08509,
title = {Infinitely Split Nash Equilibrium Problems in Repeated Games},
author = {Jinlu Li},
journal= {arXiv preprint arXiv:1712.08509},
year = {2017}
}