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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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In this paper, mean-field type games between two players with backward stochastic dynamics are defined and studied. They make up a class of non-zero-sum, non-cooperating, differential games where the players’ state dynamics solve backward stochastic differential equations (BSDE) that depend on...
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We formulate a notion of doubly reflected BSDE in the case where the barriers xi and zeta do not satisfy any regularity assumption. Under a technical assumption (a Mokobodzki-type condition), we show existence and uniqueness of the solution. In the case where xi is right upper-semicontinuous and...
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We study the classical bargaining problem and its two canonical solutions, (Nash and Kalai-Smorodinsky), from a novel point of view: we ask for stability of the solution if both players are able distort the underlying bargaining process by reference to a third party (e.g. a court). By exploring...
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