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Bayesian equilibrium by iterative conjectures: a theory of games with players forming conjectures iteratively starting with first order uninformative conjectures

Jimmy Teng

MPRA Paper from University Library of Munich, Germany

Abstract: This paper introduces a new game theoretic equilibrium, Bayesian equilibrium by iterative conjectures (BEIC). It requires agents to make predictions, starting from first order uninformative predictive distribution functions (or conjectures) and keep updating with statistical decision theoretic and game theoretic reasoning until a convergence of conjectures is achieved. In a BEIC, rationality is achieved for strategies and conjectures. The BEIC approach is capable of analyzing a larger set of games than current Nash Equilibrium based games theory, including games with inaccurate observations, games with unstable equilibrium and games with double or multiple sided incomplete information games. On the other hand, for the set of games analyzed by the current games theory, it generates far lesser equilibriums and normally generates only a unique equilibrium. It also resolves inconsistencies in equilibrium results by different solution concepts in current games theory.

Keywords: new equilibrium concept; iterative conjectures; convergence; Bayesian decision theory; Schelling point (search for similar items in EconPapers)
JEL-codes: C72 D81 D84 (search for similar items in EconPapers)
Date: 2011-12-15, Revised 2012-04-06
New Economics Papers: this item is included in nep-cta, nep-evo, nep-gth and nep-hpe
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