A Consequence of Chernoff and Outcasting and Solutions for Abstract Games
AbstractThe purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevski ) that a choice function which satisfies Chernoffs axiom and Outcasting can always by expressed as the union of the solution sets of a finite number of maximization problems. In this paper we also show that the Slater solution for abstract games (see Slater ) satisfies the Chernoff, Outcasting and Expansion axioms. On the other hand the solution due to Copeland , which has subsequently been axiomatically characterized Henriet , does not satisfy any of these three properties.
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Bibliographic InfoPaper provided by Indian Institute of Management Ahmedabad, Research and Publication Department in its series IIMA Working Papers with number WP2000-03-02.
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