Handbook of the Shapley Value

ISBN-13: 9780815374688 / Angielski / Twarda / 2019 / 576 str.

Encarnacion Algaba Duran; Vito Fragnelli; Joaquin Sanchez-Soriano

Opis

Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953.

 

Spis treści

1. The Shapley Value, a Crown Jewel of Cooperative Game Theory. 2. The Shapley Value, a Paradigm of Fairness. 3. An Index of Unfairness. 4. The Shapley Value and Games with Hierarchies. 5. Values, Nullifiers and Dummifiers. 6. Games with Identical Shapley Values. 7. Several Bases of a Game Space and an Application to the Shapley Value. 8. Extensions of the Shapley value for Environments with Externalities. 9. The Shapley value and other values. 10. Power and the Shapley Value. 11. Cost Allocation with Variable Production and the Shapley Value. 12. Pure Bargaining Problems and the Shapley Rule: A Survey. 13. The Shapley Value as a tool for evaluating groups: axiomatization and applications. 14. A value for j-cooperative games: some theoretical aspects and applications. 15. The Shapley value of corporation tax games with dual benefactors. 16. The Shapley value in Telecommunication Problems. 17. The Shapley rule for loss allocation in energy transmission Networks. 18. On Some Applications of the Shapley-Shubik Index for Finance and Politics. 19. The Shapley Value in the Queueing Problem. 20. Sometimes the Computation of the Shapley Value is Simple. 21. Analysing ISIS Zerkani Network using the Shapley Value. 22. A fuzzy approach to some Shapley value problems in group decision making. 23. Shapley values for two-sided assignment markets. 24. The Shapley value in minimum cost spanning tree problems.