We analyze an alternative to the standard rationalizability requirement for observed choices by considering non-deteriorating selections. A selection function is a generalization of a choice function where selected alternatives may depend on a reference (or status quo) alternative in addition to the set of feasible options. A selection function is non-deteriorating if there exists an ordering over the universal set of alternatives such that the selected alternatives are at least as good as the reference option. We characterize non-deteriorating selection functions in an abstract framework and in an economic environment.
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- Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
- Walter Bossert & Yves Sprumont, 2002.
"Core rationalizability in two-agent exchange economies,"
Springer, vol. 20(4), pages 777-791.
- Bossert, W. & Sprumont, Y., 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Bossert, Walter & Sprumont, Yves, 2000. "Core Rationalizability in Two-Agent Exchange Economies," Working Papers 2000-07, Rice University, Department of Economics.
- BOSSERT, Walter & SPRUMONT, Yves, 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Universite de Montreal, Departement de sciences economiques.
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