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Motivated by the proliferation of user-generated product-review information and its widespreaduse, this note studies a market where consumers are heterogeneous in terms of their willingness-to-pay for a new product. Each consumer observes the binary reviews (like or dislike) of consumers who...
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We settle an open conjecture regarding the newsvendor game. We prove that its core is always nonempty for all possible joint distributions of the random demands. We give sufficient conditions under which the core is a singleton, or at a core allocation every newsvendor shares a nonnegative cost
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A decision maker bets on the outcomes of a sequence of coin-tossings. At the beginning of the game the decision maker can choose one of two coins to play the game. This initial choice is irreversible. The coins can be biased and the player is uncertain about the nature of one (or possibly both)...
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We consider the optimization problem of a decision maker facing a sequence of coin tosses with an initially unknown probability Θ for heads. Before each toss she bets on either heads or tails and she wins one euro if she guesses correctly, otherwise she loses one euro. We investigate the effect...
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Several agents, each with his own opinion (probability measure), make decisions in order to maximize their expected utility. A super partes person, ‘the chief', releases information with the goal of maximizing a social expected utility, which is an increasing function of the agents' utilities....
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We consider necessary and sufficient conditions for risk aversion to one risk in the presence of another non-insurable risk. The conditions (on the bivariate utility function) vary according to the conditions imposed on the joint distribution of the risks. If only independent risks are...
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