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Finite-dimensional utilities

Author

Listed:
  • Yutaka Nakamura

    (Institute of Policy and Planning Sciences, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba, Ibaraki 305-8573, JAPAN)

Abstract

Sufficient axioms are identified for the existence of a finite- dimensional quasilinear utility function whose lexicographically ordered vectors preserve a decision maker's preference order on a mixture set ${\cal M}$. It is shown that those axioms are also necessary for the linear lexicographic representation when the underlying set ${\cal M}$ is a mixture space.

Suggested Citation

  • Yutaka Nakamura, 2000. "Finite-dimensional utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 209-218.
    • Handle: RePEc:spr:joecth:v:16:y:2000:i:1:p:209-218
    Note: Received: August 20, 1998; revised version: December 14, 1998
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    Citations

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    Cited by:

    1. Youichiro Higashi & Kazuya Hyogo, 2012. "Lexicographic expected utility with a subjective state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 175-192, January.
    2. Nakamura, Yutaka, 2002. "Lexicographic quasilinear utility," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 157-178, May.

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