General Equilibrium Analysis

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.

Monique Florenzano was Assistant-Professor at the Math. Department of the University of Paris, Center of Orsay, when she entered in CNRS (Centre National de la Recherche Scientifique). She is currently research director at CNRS and affiliated to CERMSEM. She was a visiting Professor of several universities: University of California at Berkeley (USA), Carlos III de Madrid (Spain), Universidad de Chile at Santiago, Universidad de la Havana (Cuba), The Johns Hopkins University at Baltimore (USA), University of Melbourne (Australia), Purdue University at W. Lafayette (USA), IMPA at Rio de Janeiro (Brazil), she has taught several courses in Mathematical Economics: General equilibrium, Incomplete markets, and in Mathematics: Convexity and Optimization. She publishes in optimization, fixed point theory, and obviously in different areas of finite and infinite dimensional general equilibrium.