Why Imitate , and if so , How ? A Bounded Rational Approach to Multi - Armed

نویسنده

  • Karl H. Schlag
چکیده

We consider the situation in which individuals in a ̄nite population must repeatedly choose an action yielding an uncertain payo®. Between choices, each individual may observe the performance of one other individual. We search for rules of behavior with limited memory that increase expected payo®s for any underlying payo® distribution. It is shown that the rule that outperforms all other rules with this property is the one that speci ̄es imitation of the action of an individual that performed better with a probability proportional to how much better she performed. When each individual uses this best rule, the aggregate population behavior can be approximated by the replicator dynamic. JEL Classi ̄cation Number : C72, C79

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تاریخ انتشار 1996