The Pre-Kernel as a Tractable Solution for Cooperative Games: An Exercise in Algorithmic Game Theory
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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.
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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. Read more Read less.
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From the Back Cover This 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. About the Author Dr.
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Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution An Exercise in Algorithmic Game Theory. Request PDF on ResearchGate | The pre-kernel as a tractable solution for cooperative games. An exercise in algorithmic game theory | This present book.
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Mathematical Social Sciences, —93, International Game Theory Review, 4 3 —, Upper and Lower Bounds of the Kernel and Nucleolus. International Journal of Game Theory, —, A Kopelowitz. Optimization, —, Maschler, B.
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