Abstract
Necessary and sufficient conditions are obtained for weak order representations of indecisive choice functions on domains containing all triples of (possibly non-distinct) choice alternatives, i.e., triadic choice domains. These conditions are compared with Arrow's formulation of the Weak and Strong Axioms of Revealed Preference and with Richter's Congruence Axiom.
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This research was supported by the National Science Foundation under Grant No. GS-35640X. The author is indebted to the referee of an earlier draft of this paper for numerous helpful comments.
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Smith, T.E. Rationality of indecisive choice functions on triadic choice domains. Theor Decis 10, 113–129 (1979). https://doi.org/10.1007/BF00126334
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DOI: https://doi.org/10.1007/BF00126334