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We consider discounted repeated games in which players can voluntarily purchase information about the opponents’ actions at past stages. Information about a stage can be bought at a fixed but arbitrary cost. Opponents cannot observe the information purchase by a player. For our main result, we...
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We consider a game Gn played by two players. There are n independent random variables Z1, ... , Zn, each of which is uniformly distributed on [0,1]. Both players know n, the independence and the distribution of these random variables, but only player 1 knows the vector of realizations...
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We examine so-called product-games. These are n-player stochatic games played on a product state space S(1)U…S(n), in which player i controls the transitions on S(i). For the general n-player case, we establish the existence of 0-equilibria. In addition, for the case of two-player zero-sum...
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Simon and Stinchcombe distinguish two approaches to perfect equilibrium, the “trembling hand” approach, and the “finitistic” approach, for games with compact action spaces and continuous payoffs. We investigate relations between the different types of perfect equilibrium introduced by...
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We study a framework where two duopolists compete repeatedly in prices and where chosen prices potentially affect future market shares, but certainly do not affect current sales. This assumption of consumer inertia causes (noncooperative) coordination on high prices only to be possible as an...
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