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Models and Methods for Interval-Valued Cooperative Games in Economic Management

Models and Methods for Interval-Valued Cooperative Games in Economic Management

Hardcover

Business GeneralGeneral ComputersGeneral Mathematics

ISBN10: 3319289969
ISBN13: 9783319289960
Publisher: Springer Nature
Published: Feb 10 2016
Pages: 137
Weight: 0.88
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value.

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