{"product_id":"9783662513149","title":"Theory and Decision Library C: An Exercise in Algorithmic Game Theory","description":"\u003ch1\u003eTheory and Decision Library C: An Exercise in Algorithmic Game Theory\u003c\/h1\u003e \u003ch2\u003eMeinhardt, Holger Ingmar\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-08-27\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783662513149\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-39549-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 242\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":47661714374796,"sku":"9783662513149","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783662513149.jpg?v=1776433845","url":"https:\/\/lateknightbooks.com\/products\/9783662513149","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}