Maćkowiak, Piotr
(2010):
*The existence of equilibrium without fixed-point arguments.*
Published in: The existence of equilibrium without fixed-point arguments
, Vol. 46, No. 6
(2010): pp. 1194-1199.

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## Abstract

This paper gives a proof of the existence of general equilibrium without the use of a fixed point theorem. Unlike other results of this type, the conditions we use do not imply that the set of equilibrium prices is convex. We use an assumption on the excess demand correspondence that is related to, but weaker than, the weak axiom of revealed preference (WARP). The proof is carried out for compact and convex valued upper hemicontinuous excess demand correspondences satisfying this WARP-related condition and some other standard conditions. We also provide an algorithm for finding equilibrium prices.

Item Type: | MPRA Paper |
---|---|

Original Title: | The existence of equilibrium without fixed-point arguments |

Language: | English |

Keywords: | existence of economic equilibrium; the weak axiom of revealed preference; excess demand correspondence; distribution economies; law of demand |

Subjects: | D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D50 - General C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium |

Item ID: | 42044 |

Depositing User: | Piotr Maćkowiak |

Date Deposited: | 18 Oct 2012 14:57 |

Last Modified: | 28 Sep 2019 16:50 |

References: | Arrow K., Hahn F. General Competitive Analysis. Holden-Day: San Francisco; 1971 Barbolla R., Corchon L. An Elementary Proof of the existence of Competitive Equilibrium in a Special Case. The Quarterly Journal of Economics 1989; 104; 385-389 Florenzano M., LeVan C. Finite Dimensional Convexity and Optimization. Springer: Berlin Heidelberg New York; 2001 Fraysse J. A simple proof of the existence of an equilibrium when the weak axiom holds. Journal of Mathematical Economics 2009; 45; 767-769 Greenberg J. An elementary proof of the existence of a competitive equilibrium with weak gross substitutes. The Quarterly Journal of Economics 1977; 91; 513-516 Hildenbrand W. On the ’Law of Demand’ . Econometrica 1983; 51; 997-1019 John R. 1998. Variational Inequalities and Pseudomonotone Functions: Some Characterizations. In Crouzeix J.P., Mart´ınez-Legaz J.-E., Volle M. (Eds), Generalized convexity, generalized monotonicity: recent results. Kluwer Academic Publishers; 1998. p. 291-301 John R. AbrahamWald’s equilibrium existence proof reconsidered. Economic Theory 1999; 13; 417-428 Mas-Colell A., Whinston M., Green J. Microeconomic Theory. Oxford University Press: New York Oxford; 1995 Moore J. General Equilibrium and Welfare Economics. An Introduction. Springer: Berlin Heidelberg; 2007 Quah J. The Law of Demand when income is price dependent. Econometrica 1997; 65; 1421-1442 Quah J. The existence of equilibrium when excess demand obeys the weak axiom. Journal of Mathematical Economics 2008; 44; 337-343 Toda M. Approximation of Excess Demand on the Boundary and Equilibrium Price Set. Advances in Mathematical Economics 2006; 9; 99-107 |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/42044 |