Lexicographic compositions of multiple criteria for decision making
This paper considers two distinct procedures to lexicographically compose multiple criteria for social or individual decision making. The first procedure composes M binary relations into one, and then selects its maximal elements. The second procedure first selects the set of maximal elements of the first binary relation, and then within that set, chooses the maximal elements of the second binary relation, and iterates the procedure until the Mth binary relation. We show several distinct sets of conditions for the choice functions representing these two procedures to satisfy non-emptiness and choice-consistency conditions such as contraction consistency and path independence. We also examine the relationships between the outcomes of the two procedures. Finally we investigate under what conditions the outcomes of each procedure are independent of the order of lexicographic application of the criteria.
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- Tadenuma, Koichi, 2002.
"Egalitarian-Equivalence and the Pareto Principle for Social Preferences,"
2002-08, Graduate School of Economics, Hitotsubashi University.
- Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer, vol. 24(3), pages 455-473, 06.
- Tadenuma, Koichi, 2002. "Egalitarian-Equivalence and the Pareto Principle for Social Preferences," Discussion Paper 128, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
- Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
- Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
- Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, vol. 13(3), pages 361-379, December.
- Suzumura, Kotaro, 1981. "On pareto-efficiency and the no-envy concept of equity," Journal of Economic Theory, Elsevier, vol. 25(3), pages 367-379, December.
- Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December.
- Arrow, Kenneth J, 1977. "Extended Sympathy and the Possibility of Social Choice," American Economic Review, American Economic Association, vol. 67(1), pages 219-25, February.
- Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March.
- Tadenuma, Koichi, 2002.
"Efficiency First or Equity First? Two Principles and Rationality of Social Choice,"
Journal of Economic Theory,
Elsevier, vol. 104(2), pages 462-472, June.
- Tadenuma, Koichi, 1998. "Efficiency First or Equity First?: Two Principles and Rationality of Social Choice," Discussion Papers 1998-01, Graduate School of Economics, Hitotsubashi University.
- Pazner, Elisha A & Schmeidler, David, 1978.
"Egalitarian Equivalent Allocations: A New Concept of Economic Equity,"
The Quarterly Journal of Economics,
MIT Press, vol. 92(4), pages 671-87, November.
- Elisha A. Pazner & David Schmeidler, 1975. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," Discussion Papers 174, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
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