Finding pure nash equilibrium of graphical game via constraints satisfaction approach

  • Authors:
  • Min Jiang

  • Affiliations:
  • Wuhan University, Wuhan Hubei and City University of Hong Kong, Hong Kong, China

  • Venue:
  • ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
  • Year:
  • 2007

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Abstract

Considerable progress has been made in recent years in complexity analysis of Nash equilibrium, so we restrict our attention to seek it from the empirical perspective in this paper. Based on a new description format of game - stimulate - response pair proposed in the paper, we put forward a constraints satisfaction-based algorithm on this data structure to compute pure Nash equilibrium of graphical game. And then, we discuss how to employ search strategies when finding the equilibrium in different types. To evaluate our algorithm, we use a comprehensive game generator - GAMUT, to produce a mass of data and take a famous tool - gambit as competitor. At last the experimental result is presented.