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Large games with a bio-social typology

  • Khan, M. Ali
  • Rath, Kali P.
  • Sun, Yeneng
  • Yu, Haomiao

We present a comprehensive theory of large games in which players have names and determinate social-types and/or biological traits, and identify through four decisive examples, essentially based on a matching-pennies type game, pathologies arising from the use of a Lebesgue interval for playerʼs names. In a sufficiently general context of traits and actions, we address this dissonance by showing a saturated probability space as being a necessary and sufficient name-space for the existence and upper hemi-continuity of pure-strategy Nash equilibria in large games with traits. We illustrate the idealized results by corresponding asymptotic results for an increasing sequence of finite games.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 148 (2013)
Issue (Month): 3 ()
Pages: 1122-1149

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Handle: RePEc:eee:jetheo:v:148:y:2013:i:3:p:1122-1149
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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