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   <subfield code="a">Bolger</subfield>
   <subfield code="D">Edward M.</subfield>
   <subfield code="u">Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056, USA (e-mail: bolgerem@muohio.edu), US</subfield>
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   <subfield code="a">A consistent value for games with n players and r alternatives</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Edward M. Bolger]</subfield>
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   <subfield code="a">Abstract.: In Bolger [1993], an efficient value was obtained for a class of games called games with n players and r alternatives. In these games, each of the n players must choose one and only one of the r alternatives. This value can be used to determine a player's &quot;a priori” value in such a game. In this paper, we show that the value has a consistency property similar to the &quot;consistency” for TU games in Hart/Mas-Colell [1989] and we present a set of axioms (including consistency) which characterizes this value.  The games considered in this paper differ from the multi-choice games considered by Hsiao and Raghavan [1993]. They consider games in which the actions of the players are ordered in the sense that, if i &gt;j, then action i carries more &quot;weight” than action j.  These games also differ from partition function games in that the worth of a coalition depends not only on the partitioning of the players but also on the action chosen by each subset of the partition.</subfield>
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   <subfield code="a">Springer-Verlag Berlin Heidelberg, 2000</subfield>
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   <subfield code="a">Key words:n-person, multi-choice games, values, consistency</subfield>
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   <subfield code="D">Edward M.</subfield>
   <subfield code="u">Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056, USA (e-mail: bolgerem@muohio.edu), US</subfield>
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   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
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