Geodesic
Three additive solutions of cooperative games with a priori unions
Andrzej Młodak1
1 Central Statistical Office Statistical Office in Poznań Branch in Kalisz pl. J. Kilińskiego 13 62-800 Kalisz, Poland
Applicationes Mathematicae, Tome 30 (2003) no. 1, pp. 69-87 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am30-1-5
Keywords: analyze axiomatic properties three types additive solutions cooperative games priori unions structure these banzhaf value priori unions introduced owen which has axiomatically characterized yet generalizing owens approach constructions discussed deegan packel ruiz valenciano zarzuelo define study other solutions these deegan packel value priori unions least square prenucleolus priori unions

Andrzej Młodak 1

1 Central Statistical Office Statistical Office in Poznań Branch in Kalisz pl. J. Kilińskiego 13 62-800 Kalisz, Poland 
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Andrzej Młodak. Three additive solutions of
  cooperative games with a priori unions. Applicationes Mathematicae, Tome 30 (2003) no. 1, pp. 69-87. doi: 10.4064/am30-1-5

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