作者：NDOUTOUME, JL
摘要：This paper deals with the theory of first-order necessary conditions of optimality for nonsmooth control problems governed by variational inequalities. We present a general approach in which necessary conditions of first-order are obtained by means of differentiation tools based on epi-convergence of second-order differential quotients.
作者：DENG, XT; PAPADIMITRIOU, CH
作者单位：University of California System; University of California San Diego
摘要：We study from a complexity theoretic standpoint the various solution concepts arising in cooperative game theory. We use as a vehicle for this study a game in which the players are nodes of a graph with weights on the edges, and the value of a coalition is determined by the total weight of the edges contained in it. The Shapley value is always easy to compute. The core is easy to characterize when the game is convex, and is intractable (NP-complete) otherwise. Similar results are shown for the...
