Monotone comparative statics on semilattices

Nikolai Kukushkin ()

Economics Bulletin, 2021, vol. 41, issue 3, 1711-1718

Abstract: This paper examines to what extent monotone comparative statics analysis in the style of Milgrom and Shannon (1994) can be extended from lattices to semilattices (e.g., budget sets). A condition on preference orderings is found which is necessary and sufficient for a monotone response of the optimal choice from every subsemilattice to a perturbation of the preferences satisfying an appropriate single crossing condition. A strategic game model related to the consumption of positional goods is formulated where Nash equilibrium exists because the players' preferences satisfy our condition.

Keywords: Semilattice; Monotone comparative statics; Single crossing; Strategic complementarities; Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C7 D1 (search for similar items in EconPapers)
Date: 2021-09-17
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