Convexity of preferences is a canonical assumption in economic theory. In this paper we study a generalized definition of convex preferences that relies on the notion of a convex space, that is an abstraction of the standard notion of convexity in a linear space. We introduce also betweenness relations that characterize convex spaces. First we consider a ternary betweenness relation that gives rise to an interval space structure and then we propose a more general definition of betweenness.
Autori: | Cardin, Marta (Corresponding) |
Data di pubblicazione: | 2020 |
Titolo: | Preferences in Abstract Convex Structures |
Titolo del libro: | Mathematical Topics on Representations of Ordered Structures and Utility Theory |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/978-3-030-34226-5_9 |
Appare nelle tipologie: | 3.1 Articolo su libro |
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