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A dynamic axiomatization for the semivalues on classic cooperative games

Author
Gimenez, J.; Domenech, M.; Puente, M.
Type of activity
Presentation of work at congresses
Name of edition
XXXVII Congreso Nacional de Estadística e Investigación Operativa. XI Jornadas de Estadística Pública
Date of publication
2018
Presentation's date
2018-05-30
Book of congress proceedings
XXXVII Congreso Nacional SEIO: XI Jornadas de Estadística Pública, Oviedo, 29 mayo-1 junio 2018
First page
124
Last page
124
URL
https://seio2018.com/es/trabajos/1103/a-dynamic-axiomatization-for-the-semivalues-on-classic-cooperative-games Open in new window
Abstract
Each semivalue, as a solution concept defined on cooperative games with a finite set of players, is univocally determined by weighting coefficients that apply to players’ marginal contributions. Taking into account that a semivalue induces semivalues on lower cardinalities, we prove that its weighting coefficients can be reconstructed from the last weighting coefficients of its induced semivalues. Moreover, we provide the conditions of a sequence of numbers in order to be the family of the las...
Keywords
Axiomatization, Induced semivalue, Semivalue, Unanimity game, Weighting coefficient
Group of research
GRTJ - Game Theory Research Group

Participants