A new axiomatization of the Banzhaf semivalue

  1. Ruiz, Luis M.
  2. Albizuri Irigoyen, Miren Iosune
Zeitschrift:
Spanish economic review

ISSN: 1435-5469

Datum der Publikation: 2001

Ausgabe: 3

Nummer: 2

Seiten: 97-109

Art: Artikel

DOI: 10.1007/PL00013588 DIALNET GOOGLE SCHOLAR

Andere Publikationen in: Spanish economic review

Zusammenfassung

Abstract. A new characterization of the Banzhaf semivalue on the domain of monotonic simple games is given. We use the well-known valuation and dummy axioms plus two additional properties. The first one simply requires that the power-index be bigger for those players belonging to more winning coalitions. The second one is the proportionality axiom introduced by Owen in (1982) which is suitable for those simple games that represent an indirect voting process.