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From singularity theory to finiteness of Walrasian equilibria |
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| Authors: | Sofia B.S.D. Castro Sami Dakhlia Peter B. Gothen |
| Affiliation: | 1. CMUP and Faculdade de Economia do Porto, Universidade do Porto, Rua Dr. Roberto Frias, 4200-464 Porto, Portugal;2. ESCE - International Business School, 10 rue Michel Sextius, 75015 Paris, France;3. CMUP and Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre, 4169-007 Porto, Portugal |
| Abstract: | The main result of this paper states that there exists a residual subset of the set of critical economies whose associated equilibria are finite in number. We also show that this subset does not contain any open set and therefore the result is the best possible for our choice of topology (compact-open topology). The proof rests on results and concepts from singularity theory. |
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