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Multiutility representations for incomplete difference preorders

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  • Pivato, Marcus

Abstract

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 representable by a family of cardinal utility functions which take values in linearly ordered abelian groups. This has applications to interpersonal comparisons, social welfare, and decisions under uncertainty.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41182.

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Date of creation: 09 Sep 2012
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Handle: RePEc:pra:mprapa:41182

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Keywords: Preference intensity; cardinal utility; linearly ordered abelian group; social welfare; uncertainty;

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Cited by:
  1. Bosi, Gianni & Herden, Gerhard, 2014. "Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation," MPRA Paper 53404, University Library of Munich, Germany.

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