Three additive solutions of cooperative games with a priori unions

Volume 30 / 2003

Andrzej Młodak Applicationes Mathematicae 30 (2003), 69-87 MSC: Primary 91A12. DOI: 10.4064/am30-1-5

Abstract

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.

Authors

  • Andrzej MłodakCentral Statistical Office
    Statistical Office in Poznań
    Branch in Kalisz
    pl. J. Kilińskiego 13
    62-800 Kalisz, Poland
    e-mail

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