English

On the diffuseness of incomplete information game

Combinatorics 2014-06-11 v1 Probability

Abstract

We introduce the "relative diffuseness" assumption to characterize the differences between payoff-relevant and strategy-relevant diffuseness of information. Based on this assumption, the existence of pure strategy equilibria in games with incomplete information and general action spaces can be obtained. Moreover, we introduce a new notion of "undistinguishable purification" which strengthens the standard purification concept, and its existence follows from the relative diffuseness assumption.

Keywords

Cite

@article{arxiv.1307.5271,
  title  = {On the diffuseness of incomplete information game},
  author = {Wei He and Xiang Sun},
  journal= {arXiv preprint arXiv:1307.5271},
  year   = {2014}
}

Comments

17 pages

R2 v1 2026-06-22T00:54:27.027Z