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Shifting paradigms: on the robustness of economic models to heavy-tailedness assumptions

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Author Info
Rustam Ibragimov

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Abstract

The structure of many models in economics and finance depends on majorization properties of convolutions of distributions. In this paper, we analyze robustness of these properties and the models based on them to heavy-tailedness assumptions. We show, in particular, that majorization properties of linear combinations of log-concavely distributed signals are reversed for very long-tailed distributions. As applications of the results, we study robustness of monotone consistency of the sample mean, value at risk analysis and the model of demand-driven innovation and spatial competition as well as that of optimal bundling strategies for a multiproduct monopolist in the case of an arbitrary degree of complementarity or substitutability among the goods. The implications of the models remain valid for not too heavy-tailed distributions. However, their main properties are reversed in the very thick-tailed setting

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Paper provided by Econometric Society in its series Econometric Society 2004 Latin American Meetings with number 105.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:latm04:105

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Keywords: Robustness heavy-tailed distributions innovation and spatial competition firm growth Gibrat's law optimal bundling strategies multiproduct monopolist Vickrey auction value at risk coherent measures of risk monotone consistency

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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  3. Schmalensee, Richard, 1984. "Gaussian Demand and Commodity Bundling," Journal of Business, University of Chicago Press, vol. 57(1), pages S211-30, January. [Downloadable!] (restricted)
  4. Cornelli, Francesca, 1996. "Optimal Selling Procedures with Fixed Costs," Journal of Economic Theory, Elsevier, vol. 71(1), pages 1-30, October. [Downloadable!] (restricted)
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  7. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March. [Downloadable!] (restricted)
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  9. Dansby, Robert E & Conrad, Cecilia, 1984. "Commodity Bundling," American Economic Review, American Economic Association, vol. 74(2), pages 377-81, May. [Downloadable!] (restricted)
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  22. Yannis Bakos & Erik Brynjolfsson, 1997. "Bundling Information Goods: Pricing, Profits and Efficiency," Working Paper Series 199, MIT Center for Coordination Science. [Downloadable!]
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