Existence of a Pareto optimal social interaction outcome with non-binary preferences
We prove the existence of a Pareto optimal state of a society with non-binary personal preferences. To our knowledge, this is the weakest set of conditions under which the existence of a Pareto optimal state has been proven. In our theory everybody in society engages in maximization as a personal act of volitional choice based on non-binary preferences, as in Sen (1997). The resultant equilibrium belongs to a unanimity-based nonempty social maximal set. Our generalization exposes the fact that such equilibria support discrimination, which is a surprising, though serious, indictment of relying exclusively on the Pareto principle in social evaluation.
|Date of creation:||13 Jan 2011|
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- Naqvi, Nadeem, 2010. "On Non-binary Personal Preferences in Society, Economic Theory and Racial Discrimination," MPRA Paper 21522, University Library of Munich, Germany.
- Kenneth J. Arrow, 1998. "What Has Economics to Say about Racial Discrimination?," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 91-100, Spring.
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