NDLI: The Shapley Value as a Tool for Evaluating Groups: Axiomatization and Applications

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The Shapley Value as a Tool for Evaluating Groups: Axiomatization and Applications

Content Provider	Scilit
Author	Flores, Ramón Molina, Elisenda Tejada, Juan
Copyright Year	2019
Description	In his famous paper of 1953, Shapley proposed his approach to measure the prospects of a player in a multi-person cooperative game, the well-known Shapley value. Following this spirit, it is natural to ask if it would be possible to define a similar measure for a group of players, when they could enter in the game as a coordinated group. In 2017, and based on previous work of Marichal et al. (2007) (Marichal, J.L., Kojadinovic, I., Fujimoto, J. (2007) Axiomatic characterizations of generalized values. Discrete Applied Mathematics 155, 26-43), the authors of this note propose the Shapley group value as a possible answer to the previous question. This chapter presents a comprehensive introduction to this value, describing in particular an axiomatic characterization of it, and using it to discuss the profitability of a group inside a network. It is also studied how the notion is adapted when the communication between players is restricted by a graph. Throughout the text, different examples that show the usefulness of the measure are provided. In particular, the value is applied to a real context, as it is the Spanish Elections of 2015, and also to an inventory cost game. Book Name: Handbook of the Shapley Value
Related Links	https://content.taylorfrancis.com/books/download?dac=C2017-0-62091-0&isbn=9781351241410&doi=10.1201/9781351241410-13&format=pdf
Ending Page	279
Page Count	25
Starting Page	255
DOI	10.1201/9781351241410-13
Language	English
Publisher	Informa UK Limited
Publisher Date	2019-12-06
Access Restriction	Open
Subject Keyword	Book Name: Handbook of the Shapley Value History and Philosophy of Science Axiomatization Shapley Value Axiomatic Characterization
Content Type	Text
Resource Type	Chapter

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