The Price of Anarchy in Games of Incomplete Information

Abstract

We define smooth games of incomplete information. We prove an ’’extension theorem” for such games:price of anarchy bounds for pure Nash equilibria for all induced full-information games extendautomatically, without quantitative degradation, to all mixed-strategy Bayes-Nash equilibria withrespect to a product prior distribution over players’ preferences. We also note that, for Bayes-Nashequilibria in games with correlated player preferences, there is no general extension theorem forsmooth games.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 27, 2015
Source ID
10.1145/2737816

Entities

People

  • Tim Roughgarden

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation
  • Office of Naval Research
  • Stanford University

Tags

Fields of Study

  • Economics

Readers

  • Game Theory.
  • Operations Research