Advances in Mathematical Economics Volume 16 pp 111-117 | Cite as
On the equivalence between the rejective core and the dividend equilibrium: a note
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Abstract
Exchange economies in which preferences of some consumers are possi- bly satiated are considered. In a general model of an atomless exchange economy, the equivalence between the ‘rejective’ core and the set of dividend equilibrium alloca- tions is proved by applying Liapunov’s theorem in multi-dimensions.
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rejective core dividend equilibrium core equivalencePreview
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References
- 1.Aumann, R.J., Drèze, J.H.: Values of markets with satiation or fixed prices. Econometrica 54, 1271–1318 (1986)MathSciNetMATHCrossRefGoogle Scholar
- 2.Aumann, R.J.: Markets with a continuum of traders. Econometrica 32, 39–50 (1964)MathSciNetMATHCrossRefGoogle Scholar
- 3.Drèze, J.H., Müller, H.: Optimality properties of rationing schemes. Journal of Economic Theory 23, 131–149 (1980)MATHCrossRefGoogle Scholar
- 4.Hildenbrand, W.: The core of an economy with a measure space of economic agents. Review of Economic Studies 35, 443–452 (1968)MATHCrossRefGoogle Scholar
- 5.Hildenbrand, W.: Core and Equilibria of a Large Economy, Princeton. Princeton University Press (1974)MATHGoogle Scholar
- 6.Konovalov, A.: The core of an economy with satiation. Economic Theory 25, 711–719 (2005)MathSciNetMATHCrossRefGoogle Scholar
- 7.Vind, K.: Edgeworth-allocations in an exchange economy with many traders. International Economic Review 5, 165–177 (1964)MATHCrossRefGoogle Scholar
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