Mathematical Social Sciences 93:141-145 (2018)

Authors
Kalle M. Mikkola
Aalto University
David McCarthy
University of Hong Kong
Abstract
A strongly independent preorder on a possibly in finite dimensional convex set that satisfi es two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfi es two of the following conditions, it must satisfy the third: (i') a modest strengthening of the Archimedean condition; (ii') mixture continuity; and (iii') completeness. Applications to decision making under conditions of risk and uncertainty are provided.
Keywords Expected utility  Incompleteness  Continuity  Incommensurability  Strong independence  Risk  Uncertainty
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Real Analysis with Economic Applications.Efe A. Ok - 2007 - Princeton University Press.

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