The geometry of finite equilibrium datasets

Yves Balasko; Mich Tvede

doi:10.1016/j.jmateco.2009.03.009

The geometry of finite equilibrium datasets

Yves Balasko, Mich Tvede

Economics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the geometry of finite datasets defined by equilibrium prices, income distributions, and total resources. We show that the equilibrium condition imposes no restrictions if total resources are collinear, a property that is robust to small perturbations. We also show that the set of equilibrium datasets is pathconnected when the equilibrium condition does impose restrictions on datasets, as for example when total resources are widely noncollinear.

Original language	English (US)
Pages (from-to)	391-396
Number of pages	6
Journal	Journal of Mathematical Economics
Volume	45
Issue number	5-6
DOIs	https://doi.org/10.1016/j.jmateco.2009.03.009
State	Published - May 20 2009

Keywords

Equilibrium manifold
Pathconnectedness
Rationalizability

ASJC Scopus subject areas

Economics and Econometrics
Applied Mathematics

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10.1016/j.jmateco.2009.03.009

Cite this

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KW - Pathconnectedness

KW - Rationalizability

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The geometry of finite equilibrium datasets

Abstract

Keywords

ASJC Scopus subject areas

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