Year: 2023
Type: preprint
Abstract: In this paper, we introduce a simplicial complex representation for finite non-cooperative games in the strategic form. The covering space of the simplicial game complex is introduced and we show that the covering complex is a powerful tool to find Nash Equilibrium simplices. This representation allows us to model the cost functions of a game as a weight number on a dual vertex of the strategy situation in some stars. It yields a canonical direct sum decomposition of an arbitrary game into three components, as the potential, harmonic and nonstrategic components.
Source: arXiv (Cornell University)
Authors: Shojaee, Neda, Rezaii, Morteza M.
Institution: Amirkabir University of Technology
Language: English
Topic: Game Theory and Applications
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4380136493