Domain Closedness Conditions and Rational Choice

Walter Bossert () and Kotaro Suzumura ()

Cahiers de recherche from Universite de Montreal, Departement de sciences economiques

Abstract: The rationalizability of a choice function on an arbitrary domain under various coherence properties has received a considerable amount of attention both in the long-established and in the recent literature. Because domain closedness conditions play an important role in much of rational choice theory, we examine the consequences of these requirements on the logical relationships among different versions of rationalizability. It turns out that closedness under intersection does not lead to any results differing from those obtained on arbitrary domains. In contrast, closedness under union allows us to prove an additional implication.

Keywords: Rational Choice; Domain Closedness; Coherence Prorties (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-dcm
Date: 2005
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