Monotone comparative statics with separable objective functions

The sum of a supermodular function, assumed nondecreasing in the choice variable, and of a 'concavely supermodularizable' function, assumed nonincreasing in the parameter variable, satisfies the Milgrom-Shannon (1994, Monotone comparative statics, Econometrica 62, 157-180) single crossing condition. As an application, I prove existence of a pure strategy Nash equilibrium in a Cournot duopoly with logconcave demand, affiliated types, and nondecreasing costs.

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Year of publication:	2010-01
Authors:	Ewerhart, Christian
Institutions:	Institut für Volkswirtschaftslehre, Wirtschaftswissenschaftliche Fakutät
Subject:	Supermodularity \| separable objective function \| single crossing condition \| quantity competition

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Extent:	application/pdf
Series:	IEW - Working Papers. - ISSN 1424-0459.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series IEW-working papers Number 472
Classification:	C02 - Mathematical Methods ; C72 - Noncooperative Games ; C65 - Miscellaneous Mathematical Tools
Source:	RePEc - Research Papers in Economics

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