Title
Fear of loss, inframodularity, and transfers
Abstract
There exist several characterizations of concavity for univariate functions. One of them states that a function is concave if and only if it has nonincreasing differences. This definition provides a natural generalization of concavity for multivariate functions called inframodularity. Inframodular transfers are defined and it is shown that a finite lottery is preferred to another by all expected utility maximizers with an inframodular utility if and only if the first lottery can be obtained from the second via a sequence of inframodular transfers. This result is a natural multivariate generalization of Rothschild and Stiglitzʼs construction based on mean preserving spreads.
Year
DOI
Venue
2012
10.1016/j.jet.2011.02.002
Journal of Economic Theory
Keywords
DocType
Volume
D81
Journal
147
Issue
ISSN
Citations 
4
0022-0531
5
PageRank 
References 
Authors
0.71
5
2
Name
Order
Citations
PageRank
Alfred Müller18717.12
Marco Scarsini216433.96