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Trends in Mathematical Economics: Dialogues Between Southern Europe and Latin America
Weakened transitive rationality: Invariance of numerical representations of preferences
Invariance of numerical representations; Nontransitive preferences; Numerical representations of preferences; Preference representation; Utility correspondences; Weakened transitivity rationality
The ordinal invariance of utility functions representing the same preference is a fundamental issue for solving decision problems using mathematical techniques. As it is well known, this property holds when preferences are complete preorders. However, it is not necessarily verified for numerical representations of weaker concepts of preferences.Moreover, there are cases in which it is not possible to build order-preserving maps between two different numerical representations of the same preference. In this work, we characterize the classes of numerical representations that preserve the order introduced by a given preference in a set of alternatives. © Springer International Publishing Switzerland 2016. All rights reserved.
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Generically Dependent Continuant
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