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.
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|