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Conditional preference orders and their numerical representations

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2016

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Drapeau, Samuel

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https://doi.org/10.1016/j.jmateco.2015.12.004
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Journal of Mathematical Economics. 2016, 63, pp. 106-118. ISSN 0304-4068. eISSN 1873-1538. Available under: doi: 10.1016/j.jmateco.2015.12.004

Zusammenfassung

We provide an axiomatic system modeling conditional preference orders which is based on conditional set theory. Conditional numerical representations are introduced, and a conditional version of the theorems of Debreu on the existence of numerical representations is proved. The conditionally continuous representations follow from a conditional version of Debreu’s Gap Lemma the proof of which relies on a conditional version of the axiom of choice, free of any measurable selection argument. We give a conditional version of the von Neumann and Morgenstern representation as well as automatic conditional continuity results, and illustrate them by examples.

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510 Mathematik

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ISO 690DRAPEAU, Samuel, Asgar JAMNESHAN, 2016. Conditional preference orders and their numerical representations. In: Journal of Mathematical Economics. 2016, 63, pp. 106-118. ISSN 0304-4068. eISSN 1873-1538. Available under: doi: 10.1016/j.jmateco.2015.12.004
BibTex
@article{Drapeau2016-03Condi-34122,
  year={2016},
  doi={10.1016/j.jmateco.2015.12.004},
  title={Conditional preference orders and their numerical representations},
  volume={63},
  issn={0304-4068},
  journal={Journal of Mathematical Economics},
  pages={106--118},
  author={Drapeau, Samuel and Jamneshan, Asgar}
}
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