Exchange and Optimality
A social state is irreducible if, and only if for any non-trivial partition of individuals with two groups, there exists another feasible social state at which every individual in the first group is equally well-off and someone strictly better-off. Competitive equilibria decentralize irreducible Pareto optimal social states.
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- Kenneth Arrow, 1970. "Political and Economic Evaluation of Social Effects and Externalities," NBER Chapters, in: The Analysis of Public Output, pages 1-30 National Bureau of Economic Research, Inc.
- Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
- Groves, Theodore & Ledyard, John O, 1977.
"Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem,"
Econometric Society, vol. 45(4), pages 783-809, May.
- Theodore Groves & John Ledyard, 1976. "Optimal Allocation of Public Goods: A Solution to the 'Free Rider Problem'," Discussion Papers 144, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
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