Large games with a bio-social typology
AbstractWe 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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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 148 (2013)
Issue (Month): 3 ()
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Web page: http://www.elsevier.com/locate/inca/622869
Large games; Social-type; Traits; Idealized limit game; Saturated probability space; Pure-strategy Nash equilibrium; Closed-graph property; Upper hemi-continuity; Asymptotic implementation;
Other versions of this item:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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