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We propose an extension of Tversky's lexicographic semiorder to a model of boundedly rational choice. We explore the connection with sequential rationalisability of choice, and we provide axiomatic characterisations of both models in terms of observable choice data. -- Lexicographic semiorders ;...
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Eliaz (2004) has established a "meta-theorem" for preference aggregation which implies both Arrow's Theorem (1963) and the Gibbard-Satterthwaite Theorem (1973, 1975). This theorem shows that the driving force behind impossibility theorems in preference aggregation is the mutual exclusiveness of...
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The theory of Boolean algebras can be fruitfully applied to judgment aggregation: Assuming universality, systematicity … (ultra)filter method in social choice theory. From the (ultra)filter property of the set of winning coalitions, one obtains …
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The relationship between propositional model theory and social decision making via premise-based procedures is explored …
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This paper studies the problem of fairly allocating an amount of a divisible resource when preferences are single-peaked. We characterize the class of envy-free and peak-only rules and show that the class forms a complete lattice with respect to a dominance relation. We also pin down the...
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