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The generic possibility of full surplus extraction in models with large type spaces / Alia Gizatulina/Martin Hellwig
VerfasserGizatulina, Alia ; Hellwig, Martin
ErschienenBonn : Max Planck Institute for Research on Collective Goods, 2017
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this version: February 8, 2017
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1 Online-Ressource (48 Seiten) : Diagramme
SeriePreprints of the Max Planck Institute for Research on Collective Goods ; 2017,2
URNurn:nbn:de:hbz:5:2-115344 
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2017_02online.pdf [0.72 mb]The generic possibility of full surplus extraction in models with large type spaces
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Zusammenfassung

McAfee and Reny (1992) have given a necessary and sufficient condition for full surplus extraction in naive type spaces with a continuum of payoff types. We generalize their characterization to arbitrary abstract type spaces and to the universal type space and show that in each setting, full surplus extraction is generically possible. We interpret the McAfee-Reny condition as a much stronger version of injectiveness of belief functions and prove genericity by arguments similar to those used to prove the classical embedding theorem for continuous functions. Our results can be used to also establish the genericity of common priors that admit full surplus extraction.