The Preference Lattice

Gregorio Curello and Ludvig Sinander

CRC TR 224 Discussion Paper Series from University of Bonn and University of Mannheim, Germany

Abstract: Most comparisons of preferences are instances of single-crossing dominance. We examine the lattice structure of single-crossing dominance, proving characterisation, existence and uniqueness results for minimum upper bounds of arbitrary sets of preferences. We apply these theorems to derive new comparative statics theorems for collective choice and under analyst uncertainty, to characterise a general 'maxmin' class of uncertainty-averse preferences over Savage acts, and to revisit the tension between liberalism and Pareto efficiency in social choice.

Keywords: preference; lattice; comparative statics; risk-aversion; ambiguity; crown; diamond (search for similar items in EconPapers)
Pages: 46
Date: 2024-06
New Economics Papers: this item is included in nep-dcm, nep-mic and nep-upt
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