Articles liés à General Equilibrium Analysis: Existence and Optimality...
Synopsis
Preface. -1: Fixed Points and Maximal Elements. 1.1. From the Knaster-Kuratowski-Mazurkiewicz lemma to the Kakutani-Fan theorem. 1.2. From the Ky Fan lemma to the Kakutani Fan theorem. 1.3. The coincidence theorem and its consequences. 1.4. An application of the previous results: the KKMS lemma. 1.5. Theorems obtained by selection. - 2: Transitive Equilibrium. 2.1. A direct proof of the Debreu-Gale-Nikaido lemma. 2.2. Existence of transitive quasiequilibrium. 2.3. From quasiequilibrium to equilibrium. - 3: Nontransitive Equilibrium. 3.1. Equilibrium and quasiequilibrium of an abstract economy. 3.2. Existence of nontransitive quasiequilibrium. 3.3. From quasiequilibrium to equilibrium. - 4: Optimality Properties of Equilibrium. 4.1. Optimality concepts. 4.2. Nonemptiness theorems. 4.3. Decentralization theorems. - 5: Infinite Dimensional Economies. 5.1. Preliminaries. 5.2. Edgeworth equilibrium existence and nonemptiness of the fuzzy core. 5.3. Decentralizing Edgeworth allocations. 5.4. A brief historical survey and a suggestion for a research agenda. - Appendix: A.1. Upper and lower semicontinuity. A.2. Related concepts. A.3. Operations with correspondences. A.4. Maximum Theorem. Bibliography. Index of symbols. Index.
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