Fictitious play in an evolutionary environment
نویسندگان
چکیده
منابع مشابه
Fictitious play in an evolutionary environment
We consider a continuous time version of the ctitious play model in an evolutionary environment. We derive two forms of the continuous time limit, both of which are approximations to a determinate version of the ctitious play updating algorithm. The rst is in the form of a rst-order partial di erential equation ('continuity equation') which we solve explicitly. The dynamic for a distribution of...
متن کاملNaive fictitious play in an evolutionary environment
A fictitious play algorithm with a unit memory length within an evolutionary environment is considered. The aggregate average behavior model is proposed and analyzed. The existence, uniqueness and global asymptotic stability of equilibrium is proved for games with a cycling property. Also, a noisy version of the algorithm is considered, which gives rise to a system with a unique, globally asymp...
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We study the Fictitious Play process with bounded and unbounded recall in pure coordination games for which failing to coordinate yields a payoff of zero for both players. It is shown that every Fictitious Play player with bounded recall may fail to coordinate against his own type. On the other hand, players with unbounded recall are shown to coordinate (almost surely) against their own type as...
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A general class of adaptive process in games is developed, which significantly generalises weakened fictitious play (Van der Genugten, 2000) and includes several interesting fictitious-play-like processes as special cases. The general model is rigorously analysed using the best response differential inclusion, and shown to converge in games with the fictitious play property. Furthermore, a new ...
متن کاملBrown's original fictitious play
What modern game theorists describe as “fictitious play” is not the learning process George W. Brown defined in his 1951 paper. His original version differs in a subtle detail, namely the order of belief updating. In this note we revive Brown’s original fictitious play process and demonstrate that this seemingly innocent detail allows for an extremely simple and intuitive proof of convergence i...
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ژورنال
عنوان ژورنال: Games and Economic Behavior
سال: 2010
ISSN: 0899-8256
DOI: 10.1016/j.geb.2009.05.003