We analyze the question of how to construct a preference relation over the subsets of an infinite set. We propose a rule to perform this task within an opportunity sets valuation approach which considers the determination of such preference relation from the basis of a finite kernel. We establish some properties of the rule and we analyze its relationships with two relevant properties of monotonicity in this framework. © 2006 Elsevier B.V. All rights reserved.
- Freedom of choice
- Power set
- Ranking opportunity sets
Ballester, M. A., & De Miguel, J. R. (2006). On freedom of choice and infinite sets: The Suprafinite Rule. Journal of Mathematical Economics, 42, 291-300. https://doi.org/10.1016/j.jmateco.2005.12.001