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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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  1. Mandler, Michael, 2005. "Incomplete preferences and rational intransitivity of choice," Games and Economic Behavior, Elsevier, vol. 50(2), pages 255-277, February.
  2. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  3. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  4. Kaminski, B., 2007. "On quasi-orderings and multi-objective functions," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1591-1598, March.
  5. Basu, Kaushik, 1982. "Determinateness of the Utility Function: Revisiting a Controversy of the Thirties," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 307-11, April.
  6. Pivato, Marcus, 2011. "Additive representation of separable preferences over infinite products," MPRA Paper 28262, University Library of Munich, Germany.
  7. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
  8. Pivato, Marcus, 2011. "Social choice with approximate interpersonal comparison of welfare gains," MPRA Paper 32252, University Library of Munich, Germany.
  9. Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, 02.
  10. Veronika Köbberling, 2006. "Strength of preference and cardinal utility," Economic Theory, Springer, vol. 27(2), pages 375-391, January.
  11. Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
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