Computing dominance-based solution concepts

Felix Brandt, Markus Brill

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Two common criticisms of Nash equilibrium are its dependence on very demanding epistemic assumptions and its computational intractability. We study the computational properties of less demanding set-valued solution concepts that are based on varying notions of dominance. These concepts are intuitively appealing, they always exist, and admit unique minimal solutions in important subclasses of games. Examples include Shapley's saddles, Harsanyi and Selten's primitive formations, Basu and Weibull's CURB sets, and Dutta and Laslier's minimal covering sets. We propose two generic algorithms for computing these concepts and investigate for which classes of games and which properties of the underlying dominance notion the algorithms are sound and efficient.

Original languageEnglish
Title of host publicationEC '12 - Proceedings of the 13th ACM Conference on Electronic Commerce
Pages233
Number of pages1
DOIs
StatePublished - 2012
Event13th ACM Conference on Electronic Commerce, EC '12 - Valencia, Spain
Duration: 4 Jun 20128 Jun 2012

Publication series

NameProceedings of the ACM Conference on Electronic Commerce

Conference

Conference13th ACM Conference on Electronic Commerce, EC '12
Country/TerritorySpain
CityValencia
Period4/06/128/06/12

Keywords

  • curb sets
  • game theory
  • shapley's saddles
  • solution concepts

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