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Bulletin of Mathematical Statistics

INFORMATION THEORETICAL APPROACHES IN GAME THEORY

Seigo Kano, Yu Kai

Published Mar 1, 1979• 2 citations
Publisher

Abstract

We give an information theoretical definition of a two person game and show some sufficient conditions under which each player can obtain the total information on the other player's parameter from the sequence of observations. 1.
DOI
10.5109/13128

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In a game each player holds a strategy based upon the actions that he can actually take. The quality and the quantity of the feasible actions are determined by his ability or power in the game. Generally every player has no information on the others' powers, so it is one of the most important problems for them to know the powers. We treat such unknown games, played periodically, from the view point of information theory. We discuss both non-cooperative and cooperative games and prove some sufficient conditions under which a player can get the full information on the other players' powers from sequential observations on the states. In two person games we show also optimal strategies with respect to the information.
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