The logic behind desirable sets of things, and its filter representation

2023/02/16 by Gert de Cooman, de Cooman, Gert, Arthur Van Camp +3 · 1 citation
Decision Sciences · #Decision-Making and Behavioral Economics

paper · pdf · doi:10.48550/arxiv.2302.08176

Abstract

We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.

Cited by

• Coherent rejection functions for arbitrary things

Related

• Results about sets of desirable gamble sets
• A theory of desirable things
• A Desirability-Based Axiomatisation for Coherent Choice Functions
• Interpreting, axiomatising and representing coherent choice functions in terms of desirability
• Algebras of Sets and Coherent Sets of Gambles