Language-based games

Adam Bjorndahl, Joseph Y. Halpern, Rafael Pass

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

Abstract

We introduce language-based games, a generalization of psy- chological games [6] that can also capture reference- dependent preferences [7]. The idea is to extend the domain of the utility function to situations, maximal consistent sets in some language. The role of the underlying language in this framework is thus particularly critical. Of special interest are languages that can express only coarse beliefs [9]. Despite the expressive power of the approach, we show that it can describe games in a simple, natural way. Nash equilibrium and rationalizability are generalized to this setting; Nash equilibrium is shown not to exist in general, while the existence of rationalizable strategies is proved under mild conditions.

Original languageEnglish
Title of host publicationProceedings of the 14th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2013
EditorsBurkhard C. Schipper
PublisherInstitute of Mathematical Sciences
Pages39-48
Number of pages10
ISBN (Electronic)9780615747163
StatePublished - 2013
Externally publishedYes
Event14th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2013 - Chennai, India
Duration: 7 Jan 20139 Jan 2013

Publication series

NameProceedings of the 14th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2013

Conference

Conference14th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2013
Country/TerritoryIndia
CityChennai
Period7/01/139/01/13

Keywords

  • Epistemic game theory
  • Psychological games
  • Rationalizability

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Software
  • Computer Science Applications

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