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Title: Complete null agent for games with externalities
Author: Alonso-Meijide, José Mª
Álvarez-Mozos, Mikel
Fiestras-Janeiro, M. Gloria, 1962-
Jiménez-Losada, Andrés
Keywords: Externalitats (Economia)
Béns públics
Teoria de jocs
Externalities (Economics)
Public goods
Game theory
Issue Date: Nov-2019
Publisher: Elsevier
Abstract: Game theory provides valuable tools to examine expert multi-agent systems. In a cooperative game, collaboration among agents leads to better outcomes. The most important solution for such games is the Shapley value, that coincides with the expected marginal contribution assuming equiprobability. This assumption is not plausible when externalities are present in an expert system. Generalizing the concept of marginal contributions, we propose a new family of Shapley values for situations with externalities. The properties of the Shapley value offer a rationale for its application. This family of values is characterized by extensions of Shapley's axioms: efficiency, additivity, symmetry, and the null player property. The first three axioms have widely accepted generalizations to the framework of games with externalities. However, different concepts of null players have been proposed in the literature and we contribute to this debate with a new one. The null player property that we use is weaker than the others. Finally, we present one particular value of the family, new in the literature, and characterize it by two additional properties.
Note: Versió postprint del document publicat a:
It is part of: Expert Systems with Applications, 2019, vol. 135, num. November, p. 1-11
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ISSN: 0957-4174
Appears in Collections:Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial)

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