Logconcavity versus Logconvexity: A Complete Characterization

This paper provides a complete characterization of logconcavity, an increasingly popular concept in the economics of uncertainty and information. New and known results are proven without assuming that density functions are differentiable. A systematic comparison between logconcavity and logconvexity...

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Veröffentlicht in:Journal of economic theory 1998-06, Vol.80 (2), p.350-369
1. Verfasser: An, Mark Yuying
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description This paper provides a complete characterization of logconcavity, an increasingly popular concept in the economics of uncertainty and information. New and known results are proven without assuming that density functions are differentiable. A systematic comparison between logconcavity and logconvexity is made and the source of the asymmetries between the two is investigated. The key difference is that logconcavity is preserved under one-sided integrations regardless of the types of distribution supports. This property, however, does not hold for logconvexity. Logconcavity for multivariate distributions is also discussed.Journal of Economic LiteratureClassification Number: D80.
doi_str_mv 10.1006/jeth.1998.2400
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subjects Asymmetric information
Comparative analysis
Distribution
Economic models
Economic theory
Information
Multivariate analysis
Studies
Uncertainty
title Logconcavity versus Logconvexity: A Complete Characterization
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