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Additive Utility

Author

Listed:
  • Fuhrken, Gebhard
  • Richter, Marcel K

Abstract

We put the theory of cardinal and additive utilities on the same kind of simple foundation as the theory of ordinal utility. We give necessary and efficient conditions for preferences to have continuous cardinal or additive utility functions, on connected topological spaces. Basing our proofs on fundamental algebraic theorems yields new techniques that allow us to give simple proofs of earlier results (cf. [4,14]) and to provide a basis for new results [10].

Suggested Citation

  • Fuhrken, Gebhard & Richter, Marcel K, 1991. "Additive Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 83-105, January.
    • Handle: RePEc:spr:joecth:v:1:y:1991:i:1:p:83-105
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    Citations

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    Cited by:

    1. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
    2. Bouyssou, Denis & Pirlot, Marc, 2005. "Following the traces:: An introduction to conjoint measurement without transitivity and additivity," European Journal of Operational Research, Elsevier, vol. 163(2), pages 287-337, June.
    3. Pennings, Joost M.E. & Garcia, Philip, 2004. "Strategic Risk Management Behavior: What Can Utility Functions Tell Us?," 2004 Annual meeting, August 1-4, Denver, CO 20388, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. repec:dau:papers:123456789/2101 is not listed on IDEAS
    5. Richter, Marcel K. & Wong, K.-C.Kam-Chau, 2004. "Concave utility on finite sets," Journal of Economic Theory, Elsevier, vol. 115(2), pages 341-357, April.
    6. Bouyssou, Denis & Pirlot, Marc, 2004. "A note on Wakker's Cardinal Coordinate Independence," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 11-22, July.
    7. Juan Candeal & Juan De Miguel & Esteban Induráin, 2002. "Expected utility from additive utility on semigroups," Theory and Decision, Springer, vol. 53(1), pages 87-94, August.
    8. Tangian, Andranik, 2004. "A model for ordinally constructing additive objective functions," European Journal of Operational Research, Elsevier, vol. 159(2), pages 476-512, December.
    9. Richter, Marcel K. & Wong, Kam-Chau, 2016. "Likelihood relations and stochastic preferences," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 28-35.

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