AbstractThe initial goal of this paper was to study how to characterize the behavior of an EU maximiser decision maler according to the sign of u[p], p-th derivative of his utility function. The answer is well-known for u', u'', has been studied for u''' (Menezes, Geiss ant Tressler, Kimball), u'''' (Kimball). In a general case, the answer to this question led us to introduce two categories of properties concerning the preferences of the decision maker. These properties that we call p-order downside-mindedness (increasing or decreasing) consist in a particular attention paid by the decision maker to lower values of prizes (in risk theory) or poorer individuals (in inequality theory). Roughly speaking, a p-downside-increasing-minded (pDIM) decision maker prefers, after a defined process that the lower value concerned be increased. Thus these properties are defined in a very general framework and are not restricted to utilitarian model. However we show that in utilitarian model, the sign of the p-th derivative of utility function is given if and only if the decision maker is p-downside-increasing-minded or p-downside-decreasing-minded for every p=1,2,....
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Bibliographic InfoPaper provided by UniversitÃ© PanthÃ©on-Sorbonne (Paris 1) in its series Papiers d'Economie MathÃ©matique et Applications with number 1999-97.
Length: 20 pages
Date of creation: 1999
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INCOME ; EQUITY ; DISTRIBUTION ; RISK;
Find related papers by JEL classification:
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
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- Peter J. Lambert & Giuseppe Lanza, 2003. "The effect on inequality of changing one or two incomes," IFS Working Papers W03/15, Institute for Fiscal Studies.
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