Resource selection games with unknown number of players

  • Authors:
  • Itai Ashlagi;Dov Monderer;Moshe Tennenholtz

  • Affiliations:
  • Technion--Israel Institute of Technology, Haifa, Israel;Technion--Israel Institute of Technology, Haifa, Israel;Technion--Israel Institute of Technology, Haifa, Israel

  • Venue:
  • AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
  • Year:
  • 2006

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Abstract

In the context of pre-Bayesian games we analyze resource selection games with unknown number of players. We prove the existence and uniqueness of a symmetric safety-level equilibrium in such games and show that in a game with strictly increasing linear cost functions every player benefits from the common ignorance about the number of players. In order to perform the analysis we define safety-level equilibrium for pre-Bayesian games, and prove that it exists in a compact-continuous-concave setup; in particular it exists in a finite setup.