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The second part of the thesis focuses on a different stochastic problem of finding the optimal hedging points in a manufacturing flow control system. Our simulation-based method allows solving large scale systems that are considered very difficult to solve by current standards in the literature.
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We consider a class of non-cooperative N-player non-zero-sum stochastic differential games with singular controls, in which each player can affect a linear stochastic differential equation in order to minimize a cost functional which is quadratic in the state and linear in the control. We call...
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This paper studies an evolutionary model of network formation with endogenous decay, in which agents benefit both from direct and indirect connections. In addition to forming (costly) links, agents choose actions for a coordination game that determines the level of decay of each link. We address...
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