Search Results - subject:"Linearly ordered abelian group"

Bayesian social aggregation with non-Archimedean utilities and probabilities

Pivato, Marcus; Tchouante, Élise Flore - In: Economic theory 77 (2024) 3, pp. 561-595

Persistent link: https://www.econbiz.de/10014552933

Multiutility representations for incomplete difference preorders

Pivato, Marcus - Volkswirtschaftliche Fakultät, … - 2012

A ``difference preorder'' is a (possibly incomplete) preorder on a space of state changes (rather than the states themselves); it encodes information about preference intensity, in addition to ordinal preferences. We find necessary and sufficient conditions for a difference preorder to be...

Persistent link: https://www.econbiz.de/10011113704

Social choice with approximate interpersonal comparison of welfare gains

Pivato, Marcus - Volkswirtschaftliche Fakultät, … - 2011

Suppose it is possible to make approximate interpersonal comparisons of welfare gains and losses. Thus, if w, x, y, and z are personal psychophysical states (each encoding all ethically relevant information about the physical and mental state of a person), then it sometimes possible to say,...

Persistent link: https://www.econbiz.de/10009226947

Additive representation of separable preferences over infinite products

Pivato, Marcus - Volkswirtschaftliche Fakultät, … - 2011

indexing set I. The hypersum takes values in a linearly ordered abelian group A*, which is an ultrapower extension of A. These …, permutation-invariant preference order (>) on X^I admits an additive representation. That is: there exists a linearly ordered … abelian group A and a `utility function' u:X-->A such that, for any x,y in X^I which differ in only finitely many coordinates …

Persistent link: https://www.econbiz.de/10008805853

Variable-population voting rules

Pivato, Marcus - Volkswirtschaftliche Fakultät, … - 2011

scoring rule (with scores taking values in an abstract linearly ordered abelian group R); this generalizes a result of Myerson …

Persistent link: https://www.econbiz.de/10009148014