03921nam 22007095 450 991030025170332120251230064922.03-662-48670-910.1007/978-3-662-48670-2(CKB)3710000000515882(EBL)4103866(SSID)ssj0001585546(PQKBManifestationID)16263836(PQKBTitleCode)TC0001585546(PQKBWorkID)14865170(PQKB)11117530(DE-He213)978-3-662-48670-2(MiAaPQ)EBC4103866(PPN)190524936(EXLCZ)99371000000051588220151121d2015 u| 0engur|n|---|||||txtccrSet Optimization and Applications - The State of the Art From Set Relations to Set-Valued Risk Measures /edited by Andreas H Hamel, Frank Heyde, Andreas Löhne, Birgit Rudloff, Carola Schrage1st ed. 2015.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2015.1 online resource (333 p.)Springer Proceedings in Mathematics & Statistics,2194-1017 ;151Description based upon print version of record.3-662-48668-7 Includes bibliographical references.This volume presents five surveys with extensive bibliographies and six original contributions on set optimization and its applications in mathematical finance and game theory. The topics range from more conventional approaches that look for minimal/maximal elements with respect to vector orders or set relations, to the new complete-lattice approach that comprises a coherent solution concept for set optimization problems, along with existence results, duality theorems, optimality conditions, variational inequalities and theoretical foundations for algorithms. Modern approaches to scalarization methods can be found as well as a fundamental contribution to conditional analysis. The theory is tailor-made for financial applications, in particular risk evaluation and [super-]hedging for market models with transaction costs, but it also provides a refreshing new perspective on vector optimization. There is no comparable volume on the market, making the book an invaluable resource for researchers working in vector optimization and multi-criteria decision-making, mathematical finance and economics as well as [set-valued] variational analysis. .Springer Proceedings in Mathematics & Statistics,2194-1017 ;151Mathematical optimizationCalculus of variationsSocial sciencesMathematicsAlgebraCalculus of Variations and OptimizationMathematics in Business, Economics and FinanceOrder, Lattices, Ordered Algebraic StructuresContinuous OptimizationMathematical optimization.Calculus of variations.Social sciencesMathematics.Algebra.Calculus of Variations and Optimization.Mathematics in Business, Economics and Finance.Order, Lattices, Ordered Algebraic Structures.Continuous Optimization.510Hamel Andreas Hedthttp://id.loc.gov/vocabulary/relators/edtHeyde Frankedthttp://id.loc.gov/vocabulary/relators/edtLöhne Andreasedthttp://id.loc.gov/vocabulary/relators/edtRudloff Birgitedthttp://id.loc.gov/vocabulary/relators/edtSchrage Carolaedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910300251703321Set optimization and applications - the state of the art1522867UNINA