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We survey and synthesize models of network formation based on random graphs and stochastic processes. We organize the material according to whether the population is treated as fixed or dynamic. We pay particular attention to the effects of homophilous linking on network structure. Finally, we...
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I study the properties of optimal long-term contracts in an environment in which the agent.s type evolves stochastically over time. The model stylizes a buyer-seller relationship but the results apply quite naturally to many contractual situations including regulation and optimal...
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We show that local potential maximizer (\cite{morris+05}) with constant weights is stochastically stable in the log-linear dynamics provided that the payoff function or the associated local potential function is supermodular. We illustrate and discuss, through a series of examples, the use of...
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Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation … in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and … pricing of the financial -- Derivatives -- A theory of boundedly rational behavior -- Partial differential equations in game …
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