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Multidimensional screening under nonlinear costs: Limits of standard approach
Authors:Sergey Kokovin  Babu Nahata  Evgeny Zhelobodko
Institution:1. UCLA Anderson School of Management, 110 Westwood Plaza, B419, Los Angeles, CA 90095;2. Kellogg School of Management at Northwestern University, 2001 Sheridan Rd, Evanston, IL 60208, USA;1. Institute for Psychological Research, University of Costa Rica, Rodrigo Facio Campus, 2060 San Pedro, Costa Rica;2. Neuroscience Research Center, University of Costa Rica, Rodrigo Facio Campus, 2060 San Pedro, Costa Rica;3. Behavioral Neuroscience, Experimental and Biological Psychology, Philipps-University of Marburg, Gutenbergstr. 18, 35032 Marburg, Germany
Abstract:We generalize the usual screening approach and conditions for efficiency-at-the-top and acyclic property from linear to fixed-plus-separable or concave costs and multidimensional commodities. But under non-concave costs, like capacity constraints, an example shows a cycle in the solution graph. The cycle makes the standard screening solution non-implementable and approach inadequate.
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