Modeling of Competition and Collaboration Networks under Uncertainty: Stochastic Programs with Resource and Bilevel

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13140 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13140 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/13140 archive 351 disk0/00/00/84/16 2016-01-15 08:40:27 2021-08-27 17:20:09 2016-01-15 08:40:27 monograph show 2 Gaivoronski A.A. 1003 Werner A. Modeling of Competition and Collaboration Networks under Uncertainty: Stochastic Programs with Resource and Bilevel pub iis_env iis_mod prog_ime We analyze stochastic programming problems with recourse characterized by a bilevel structure. Part of the uncertainty in such problems is due to actions of other actors such that the considered decision maker needs to develop a model to estimate their response to his decisions. Often, the resulting model exhibits connecting constraints in the leaders (upper-level) subproblem. It is shown that this problem can be formulated as a new class of stochastic programming problems with equilibrium constraints (SMPEC). Sufficient optimality conditions are stated. A solution algorithm utilizing a stochastic quasi-gradient method is proposed, and its applicability extensively explained by practical numerical examples. 2007-12 published IR-07-041 IR-07-041 1273 public interim_report IIASA, Laxenburg, Austria 36 FALSE info:eu-repo/semantics/book