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Routes and paths of comparison and choice

Author

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  • Murat Sertel
  • Alexander Bellen

Abstract

This paper studies aspects of sequential choice (and elimination) through the ‘routewise’ application of choice. (A choice is a mapping of the subsets of a set X into their respective subsets.) This approach sheds some further light on the ‘path-independence’ of choice, as well as on the logical structure of several rationality criteria for choice, as expressed through the properties of the comparison (or preference relation) revealed by a choice. The results bear particular relevance to the theory of collective choice. Copyright Martinus Nijhoff Publishers bv 1980

Suggested Citation

  • Murat Sertel & Alexander Bellen, 1980. "Routes and paths of comparison and choice," Public Choice, Springer, vol. 35(2), pages 205-218, January.
    • Handle: RePEc:kap:pubcho:v:35:y:1980:i:2:p:205-218
    DOI: 10.1007/BF00140844
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    References listed on IDEAS

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    1. Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, vol. 13(3), pages 361-379, December.
    2. Robert Parks, 1976. "Further results on path independence, quasitransitivity, and social choice," Public Choice, Springer, vol. 26(1), pages 75-87, June.
    3. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    4. Blair, Douglas H, 1975. "Path-Independent Social Choice Functions: A Further Result," Econometrica, Econometric Society, vol. 43(1), pages 173-174, January.
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