Generating Semivalues via Unanimity Games

Giulia Bernardi, Roberto Lucchetti

Risultato della ricerca: Contributo in rivistaArticolo in rivista

2 Citazioni (Scopus)

Abstract

We provide a condition guaranteeing when a value defined on the base of the unanimity games and extended by linearity on the space of all games with a fixed, finite set $$N$$N of players is a semivalue. Furthermore, we provide a characterization of the semivalues on the vector space of all finite games, by proving that the coefficients on the base of the unanimity games form a completely monotonic sequence. We also give a characterization of irregular semivalues. In the last part, we remind some results on completely monotonic sequences, which allow one to easily build regular semivalues, with the above procedure.
Lingua originaleEnglish
pagine (da-a)1051-1062
Numero di pagine12
RivistaJournal of Optimization Theory and Applications
Volume166
DOI
Stato di pubblicazionePubblicato - 2015
Pubblicato esternamente

Keywords

  • Applied Mathematics
  • Completely monotonic sequences
  • Control and Optimization
  • Game theory
  • Management Science and Operations Research
  • Regular and irregular semivalues
  • Unanimity games

Fingerprint

Entra nei temi di ricerca di 'Generating Semivalues via Unanimity Games'. Insieme formano una fingerprint unica.

Cita questo