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Handbook of Generalized Convexity and Generalized Monotonicity pp 619–666Cite as

Uses of Generalized Convexity and Generalized Monotonicity in Economics

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Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 76))

Abstract

This chapter presents some uses of generalized concavity and generalized monotonicity in consumer theory and general equilibrium theory. The first part emphasizes the relationship between generalized monotonicity properties of individual demand and axioms of revealed preference theory. The second part points out the relevance of pseudomonotone market excess demand to a well-behaved general equilibrium model. It is shown that this property can be derived from assumptions on the distribution of individual (excess) demands.

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Author information

Authors and Affiliations

  1. Department of Economics, University of Bonn, Adenauerallee 24-42, 53113, Bonn, Germany

    Reinhard John

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  1. Reinhard John
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Editor information

Editors and Affiliations

  1. University of Aegean, Greece

    Nicolas Hadjisavvas

  2. University of Pécs, Hungary

    Sándor Komlósi

  3. University of California, Riverside, USA

    Siegfried Schaible

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John, R. (2005). Uses of Generalized Convexity and Generalized Monotonicity in Economics. In: Hadjisavvas, N., Komlósi, S., Schaible, S. (eds) Handbook of Generalized Convexity and Generalized Monotonicity. Nonconvex Optimization and Its Applications, vol 76. Springer, New York, NY. https://doi.org/10.1007/0-387-23393-8_14

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