Three additive solutions of cooperative games with a priori unions

• Autorzy: Andrzej Młodak
• Języki publikacji: EN

Abstrakty

EN

We analyze axiomatic properties of three types of additive solutions of cooperative games with a priori unions structure. One of these is the Banzhaf value with a priori unions introduced by G. Owen (1981), which has not been axiomatically characterized as yet. Generalizing Owen's approach and the constructions discussed by J. Deegan and E. W. Packel (1979) and L. M. Ruiz, F. Valenciano and J. M. Zarzuelo (1996) we define and study two other solutions. These are the Deegan-Packel value with a priori unions and the least square prenucleolus with a priori unions.

Kategorie tematyczne

• 91A12: Cooperative games

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2003
• Tom: 30
• Numer: 1
• Strony: 69-87

Daty

wydano

2003

Twórcy

autor

Andrzej Młodak

• Central Statistical Office, Statistical Office in Poznań, Branch in Kalisz, pl. J. Kilińskiego 13, 62-800 Kalisz, Poland

Identyfikatory

DOI

10.4064/am30-1-5