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Preference Relativity, Ambiguity and Social Welfare Evaluation

Author

Listed:
  • Zhijun Zhao

    (Institute of Economics Chinese Academy of Social Sciences and Hong Kong Institute for Monetary Research)

Abstract
In the real world many social and economic decisions have to be made with imperfect information and uncertainty. In the past two decades, economists and mathematicians have devoted a great deal of time and effort into the study of ambiguity and much progress has been made in modeling ambiguity. Decision models under ambiguity have been widely used in portfolio selection, asset pricing, and risk measurement. However, few studies have been done on linking ambiguity to the social welfare function, although social welfare evaluation also faces a scarcity of information and ambiguity of income distribution. In this paper I set up a framework with policy relevance for social welfare evaluation, with the help of a model that is developed to handle income distribution ambiguity. Under some reasonable conditions the relation of income distribution to social preference is identified and the social welfare function is clearly expressed. It is shown that the social welfare functions derived from the framework are robust in form and invariant up to a monotonous increasing transformation. The framework is also flexible enough to contain many thoughtful ideas about the social welfare function.

Suggested Citation

  • Zhijun Zhao, 2011. "Preference Relativity, Ambiguity and Social Welfare Evaluation," Working Papers 352011, Hong Kong Institute for Monetary Research.
  • Handle: RePEc:hkm:wpaper:352011
    as

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    References listed on IDEAS

    as
    1. Robert P. Parks, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 447-450.
    2. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    3. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    4. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    5. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    6. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    7. Huggett, Mark & Ospina, Sandra, 2001. "Does productivity growth fall after the adoption of new technology?," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 173-195, August.
    8. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    9. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
    10. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    11. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini & Marco Taboga, 2009. "Portfolio Selection With Monotone Mean‐Variance Preferences," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 487-521, July.
    12. Yew-Kwang Ng, 1999. "Utility, informed preference, or happiness: Following Harsanyi's argument to its logical conclusion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 197-216.
    13. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May.
    14. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    15. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    16. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    17. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    18. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    19. Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
    20. Fisher, Irving, 1918. "Is "Utility" the Most Suitable Term for the Concept It is Used to Denote?," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 8, pages 335-337.
    21. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-1572, October.
    22. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    23. Kaplow, Louis & Shavell, Steven, 1999. "The Conflict between Notions of Fairness and the Pareto Principle," American Law and Economics Review, American Law and Economics Association, vol. 1(1-2), pages 63-77, Fall.
    24. Massimo Marinacci, 2002. "Probabilistic Sophistication and Multiple Priors," Econometrica, Econometric Society, vol. 70(2), pages 755-764, March.
    25. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    26. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    27. repec:bla:scandj:v:98:y:1996:i:1:p:75-92 is not listed on IDEAS
    28. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    29. Louis Kaplow, 1992. "Optimal Distribution and Taxation of the Family," NBER Working Papers 4189, National Bureau of Economic Research, Inc.
    30. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    31. Ng, Yew-Kwang, 1997. "A Case for Happiness, Cardinalism, and Interpersonal Comparability," Economic Journal, Royal Economic Society, vol. 107(445), pages 1848-1858, November.
    32. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Preference; Ambiguity; Income Distribution; Social Welfare Function;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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