Bounded versus Unbounded Rationality: The Tyranny of the Weak*

نویسنده

  • ITZHAK GILBOA
چکیده

We examine the case of a two-person repeated game played by a boundedly rational player versus an unboundedly rational opponent. The former is restricted to strategies which are implementable by connected finite automata. It is shown that the “rational” player has a dominant strategy, and that in some cases the “weaker“ (boundedly rational) player may exploit this fact to “blackmail” him. It is also shown that for a repeated zero-sum game, the rational player has a strategy which drives the automaton player’s limit payoff down to his security (maxmin) level, even if he may choose any finite automaton. 0 19X9 Academic Press. Inc.

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تاریخ انتشار 1989