English

Maximum a posteriori learning in demand competition games

Computer Science and Game Theory 2016-12-01 v1 Optimization and Control

Abstract

We consider an inventory competition game between two firms. The question we address is this: If players do not know the opponent's action and opponent's utility function can they learn to play the Nash policy in a repeated game by observing their own sales? In this work it is proven that by means of Maximum A Posteriori (MAP) estimation, players can learn the Nash policy. It is proven that players' actions and beliefs do converge to the Nash equilibrium.

Keywords

Cite

@article{arxiv.1611.10270,
  title  = {Maximum a posteriori learning in demand competition games},
  author = {Mohsen Rakhshan},
  journal= {arXiv preprint arXiv:1611.10270},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-06-22T17:09:41.200Z