Complete null agent for games with externalities
Alonso-Meijide, José María; Álvarez-Mozos, Mikel;
Fiestras Janeiro, María Gloria; Jiménez-Losada, A.
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. © 2019 Elsevier Ltd
Type of Publication:
Externalities; Game theory; Marginal contribution; Multi agent systems; Partition function Journal:
Expert Systems with Applications
Q1 7/84 h-index 4.292 (JCR2018)
This work has been supported by the European Regional Development Fund (ERDF) and Ministerio de Ciencia, Innovación y Universidades through grants ECO2017-86481-P , MTM2017-83455-P , MTM2017-87197-C3-2-P , MTM2017-87197-C3-3-P , by the Generalitat de Catalonia through grant 2017-SGR-778, by the Junta de Andalucía through grant FQM237 , and by the Xunta de Galicia through the European Regional Development Fund (Grupos de Referencia Competitiva ED431C-2016-040 and ED431C-2017/38 ).