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Set optimization and applications - the state of the art[electronic resource] :from set relations to set-valued risk measures /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.64
書名/作者:	Set optimization and applications - the state of the art : from set relations to set-valued risk measures // edited by Andreas H. Hamel ... [et al.].
其他作者:	Hamel, Andreas H.
出版者:	Berlin, Heidelberg : : Springer Berlin Heidelberg :, 2015.
面頁冊數:	xii, 311 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
標題:	Algebra.
標題:	Ordered algebraic structures.
標題:	Economics, Mathematical.
標題:	Calculus of variations.
標題:	Mathematical optimization.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Quantitative Finance.
標題:	Order, Lattices, Ordered Algebraic Structures.
標題:	Continuous Optimization.
ISBN:	9783662486702
ISBN:	9783662486689
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-662-48670-2

Set optimization and applications - the state of the art[electronic resource] :from set relations to set-valued risk measures /
Set optimization and applications - the state of the artfrom set relations to set-valued risk measures /[electronic resource] :edited by Andreas H. Hamel ... [et al.]. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xii, 311 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v.1512194-1009 ;. - Springer proceedings in mathematics & statistics ;v.70..

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.

ISBN: 9783662486702

Standard No.: 10.1007/978-3-662-48670-2doiSubjects--Topical Terms:

172349
Mathematics.

LC Class. No.: QA315

Dewey Class. No.: 515.64

Set optimization and applications - the state of the art[electronic resource] :from set relations to set-valued risk measures /
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