Shifting paradigms: on the robustness of economic models to heavy-tailedness assumptions
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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- Paul Glasserman & Philip Heidelberger & Perwez Shahabuddin, 2002. "Portfolio Value-at-Risk with Heavy-Tailed Risk Factors," Mathematical Finance, Wiley Blackwell, vol. 12(3), pages 239-269.
- Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March.
- Jovanovic, Boyan & MacDonald, Glenn M., 1988.
88-29, C.V. Starr Center for Applied Economics, New York University.
- Jovanovic, B. & MacDonald, G.M., 1991. "Competitive Diffusion," Papers 92-08, Rochester, Business - Financial Research and Policy Studies.
- Macdonald, G.M., 1988. "Competitive Diffusion," University of Chicago - Economics Research Center 88-10, Chicago - Economics Research Center.
- Jovanovic, B. & Macdonald, G.M., 1988. "Competitive Diffusion," RCER Working Papers 160, University of Rochester - Center for Economic Research (RCER).
- Boyan Jovanovic & Glenn MacDonald, 1993. "Competitive Diffusion," NBER Working Papers 4463, National Bureau of Economic Research, Inc.
- Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
- Fang,H. & Norman,P., 2003.
"To bundle or not to bundle,"
18, Wisconsin Madison - Social Systems.
- Fang, Hanming & Norman, Peter, 2005. "To Bundle or Not to Bundle," Microeconomics.ca working papers norman-05-06-10-08-19-02, Vancouver School of Economics, revised 10 Jun 2005.
- Hanming Fang & Peter Norman, 2003. "To Bundle or Not to Bundle," Cowles Foundation Discussion Papers 1440, Cowles Foundation for Research in Economics, Yale University.
- Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- Adams, William James & Yellen, Janet L, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, MIT Press, vol. 90(3), pages 475-98, August.
- Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Wiley Blackwell, vol. 43(4), pages 405-33, December.
- Eaton, Morris L., 1988. "Concentration inequalities for Gauss-Markov estimators," Journal of Multivariate Analysis, Elsevier, vol. 25(1), pages 119-138, April.
- Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July.
- An, Mark Yuying, 1998.
"Logconcavity versus Logconvexity: A Complete Characterization,"
Journal of Economic Theory,
Elsevier, vol. 80(2), pages 350-369, June.
- An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
- Cornelli, Francesca, 1996. "Optimal Selling Procedures with Fixed Costs," Journal of Economic Theory, Elsevier, vol. 71(1), pages 1-30, October.
- Schmalensee, Richard, 1984. "Gaussian Demand and Commodity Bundling," The Journal of Business, University of Chicago Press, vol. 57(1), pages S211-30, January.
- McAfee, R Preston & McMillan, John & Whinston, Michael D, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 371-83, May.
- Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
- Jensen, D. R., 1997. "Peakedness of linear forms in ensembles and mixtures," Statistics & Probability Letters, Elsevier, vol. 35(3), pages 277-282, October.
- Jovanovic, Boyan & Rob, Rafael, 1985.
"Demand-Driven Innovation and Spatial Competition Over Time,"
85-34, C.V. Starr Center for Applied Economics, New York University.
- Jovanovic, Boyan & Rob, Rafael, 1987. "Demand-Driven Innovation and Spatial Competition over Time," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 63-72, January.
- Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September.
- Andrzej Ruszczynski & Robert J. Vanderbei, 2003. "Frontiers of Stochastically Nondominated Portfolios," Econometrica, Econometric Society, vol. 71(4), pages 1287-1297, 07.
- Lewbel, Arthur, 1985. "Bundling of substitutes or complements," International Journal of Industrial Organization, Elsevier, vol. 3(1), pages 101-107, March.
- Yannis Bakos & Erik Brynjolfsson, 1999.
"Bundling Information Goods: Pricing, Profits, and Efficiency,"
INFORMS, vol. 45(12), pages 1613-1630, December.
- Yannis Bakos & Erik Brynjolfsson, 1997. "Bundling Information Goods: Pricing, Profits and Efficiency," Working Paper Series 199, MIT Center for Coordination Science.
- Indranil Chakraborty, 1999. "Bundling decisions for selling multiple objects," Economic Theory, Springer, vol. 13(3), pages 723-733.
- Dansby, Robert E & Conrad, Cecilia, 1984. "Commodity Bundling," American Economic Review, American Economic Association, vol. 74(2), pages 377-81, May.
- Salinger, Michael A, 1995. "A Graphical Analysis of Bundling," The Journal of Business, University of Chicago Press, vol. 68(1), pages 85-98, January.
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