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We consider the following abstraction of competing publications. There are n players in the game. Each player i chooses a point xi in the interval [0,1], and a player's payoff is the distance from its point xi to the next larger point, or to 1 if xi is the largest. For this game, we give a...
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We apply gradient strategy methods, developed in the literature on robust optimization, approachability and calibration, to develop new bounds for option prices. While this literature focuses on asymptotic performance, we provide a financial interpretation of these methods by demonstrating how...
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We study a novel mechanism design model in which agents each arrive sequentially and choose one action from a set of actions with unknown rewards. The information revealed by the principal affects the incentives of the agents to explore and generate new information. We characterize the optimal...
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