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EnglishBalasko (1978) shows that in a compact subset of the space of economies, not too many economies can have too many equilibria. We extend Balasko’s result to the whole set of economies for a suitable measure. We show that the measure of economies with a large number of equilibria approaches zero as this number tends to infinity. An analogous result in the infinite-dimensional setting is also established.
Measures of economies with an arbitrarily large number of equilibria / LOI A; MATTA S. - In: INTERNATIONAL JOURNAL OF ECONOMIC THEORY. - ISSN 1742-7355. - 8:4(2012), pp. 337-343.
| Titolo: | Measures of economies with an arbitrarily large number of equilibria |
| Autori: | |
| Data di pubblicazione: | 2012 |
| Rivista: | |
| Citazione: | Measures of economies with an arbitrarily large number of equilibria / LOI A; MATTA S. - In: INTERNATIONAL JOURNAL OF ECONOMIC THEORY. - ISSN 1742-7355. - 8:4(2012), pp. 337-343. |
| Abstract: | Balasko (1978) shows that in a compact subset of the space of economies, not too many economies can have too many equilibria. We extend Balasko’s result to the whole set of economies for a suitable measure. We show that the measure of economies with a large number of equilibria approaches zero as this number tends to infinity. An analogous result in the infinite-dimensional setting is also established. |
| Handle: | http://hdl.handle.net/11584/95426 |
| Tipologia: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11584/95426
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