Increasing Interdependence of Multivariate Distributions
AbstractOrderings of interdependence among random variables are useful in many economic contexts, for example, in assessing ex post inequality under uncertainty; in comparing multidimensional inequality; in valuing portfolios of assets or insurance policies; and in assessing systemic risk. We explore five orderings of interdependence for multivariate distributions: greater weak association, the supermodular ordering, the convex-modular ordering, the dispersion ordering, and the concordance ordering. For two dimensions, all five orderings are equivalent, whereas for an arbitrary number of dimensions n > 2, the five orderings are strictly ranked. For the special case of binary random variables, we establish some equivalences among the orderings.
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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1523.
Date of creation: 01 Mar 2011
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Other versions of this item:
- Meyer, Margaret & Strulovici, Bruno, 2012. "Increasing interdependence of multivariate distributions," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1460-1489.
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-02 (All new papers)
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- Shimer, R. & Smith, L., 1998.
"Assortive Matching and Search,"
98-09, Michigan - Center for Research on Economic & Social Theory.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
- Thibault Gajdos & Eric Maurin, 2004.
"Unequal Uncertainties and Uncertain Inequalities: An Axiomatic Approach,"
UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
- Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
- Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Centre de Recherche en Economie et Statistique.
- Thibault Gajdos & Eric Maurin, 2002. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," ICER Working Papers - Applied Mathematics Series 15-2003, ICER - International Centre for Economic Research, revised Mar 2003.
- Antoni Calvó-Armengol & Matthew O. Jackson, 2003.
"Networks in Labor Markets: Wage and Employment Dynamics and Inequality,"
55, Barcelona Graduate School of Economics.
- Calvo-Armengol, Antoni & Jackson, Matthew O., 2007. "Networks in labor markets: Wage and employment dynamics and inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 27-46, January.
- Bernard Caillaud & Jean Tirole, 2007.
"Consensus Building: How to Persuade a Group,"
American Economic Review,
American Economic Association, vol. 97(5), pages 1877-1900, December.
- Caillaud, Bernard & Tirole, Jean, 2007. "Consensus Building: How to Persuade a Group," IDEI Working Papers 435, Institut d'Économie Industrielle (IDEI), Toulouse.
- Bernard Caillaud & Jean Tirole, 2006. "Consensus building: How to persuade a group," PSE Working Papers halshs-00590459, HAL.
- Caillaud, Bernard & Tirole, Jean, 2007. "Consensus Building: How to Persuade a Group," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
- Antoni Calvó-Armengol & Matthew O. Jackson, 2004.
"The Effects of Social Networks on Employment and Inequality,"
American Economic Review,
American Economic Association, vol. 94(3), pages 426-454, June.
- Matt Jackson, 2003. "The Effects of Social Networks on Employment and Inequality," Theory workshop papers 658612000000000032, UCLA Department of Economics.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010.
Review of Economic Studies,
Oxford University Press, vol. 77(1), pages 218-244.
- Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
- François Bourguignon & Satya Chakravarty, 2003.
"The Measurement of Multidimensional Poverty,"
Journal of Economic Inequality,
Springer, vol. 1(1), pages 25-49, April.
- David A. Hennessy & Harvey E. Lapan, 2003. "A Definition of 'More Systematic Risk' with Some Welfare Implications," Economica, London School of Economics and Political Science, vol. 70(279), pages 493-507, 08.
- Prat, Andrea, 2002. "Should a team be homogeneous?," European Economic Review, Elsevier, vol. 46(7), pages 1187-1207, July.
- Meyer, Margaret A & Mookherjee, Dilip, 1987. "Incentives, Compensation, and Social Welfare," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 209-26, April.
- Jewitt, Ian, 1987. "Risk Aversion and the Choice between Risky Prospects: The Preservation of Comparative Statics Results," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 73-85, January.
- Syngjoo Choi & Douglas Gale & Shachar Kariv, 2005. "Learning in Networks: An Experimental Study," Levine's Bibliography 122247000000000044, UCLA Department of Economics.
- Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011.
"Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute,"
Cahiers du GREThA
2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
- Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
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