Axiomatization of values of cooperative games using a fairness property

• Autorzy: Andrzej Młodak
• Języki publikacji: EN

Abstrakty

EN

We propose new systems of axioms which characterize four types of values of cooperative games: the Banzhaf value, the Deegan-Packel value, the least square prenucleolus and the least square nucleolus. The common element used in these axiomatizations is a fairness property. It requires that if to a cooperative game we add another game in which two given players are symmetric, then their payoffs change by the same amount. In our analysis we will use an idea applied by R. van den Brink (2001) to obtain an axiomatic characterization of the Shapley value.

Kategorie tematyczne

• 91A12: Cooperative games

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 1
• Strony: 69-86

Daty

wydano

2005

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/am32-1-6