A riemannian metric on the equilibrium manifold
AbstractUnder the assumption that the utility function is real analytic, we construct a complete metric on the equilibrium manifold with fixed total resources such that a minimal geodesic joining any two regular equilibria intersects the set of critical equilibria in a finite number of points.
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Bibliographic InfoArticle provided by AccessEcon in its journal Economics Bulletin.
Volume (Year): 4 (2005)
Issue (Month): 7 ()
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Find related papers by JEL classification:
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
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- Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
- Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
- Stefano Matta & Andrea Loi, 2006. "A Riemannian metric on the equilibrium manifold: the smooth case," Economics Bulletin, AccessEcon, vol. 4(30), pages 1-9.
- Arias-R., Omar Fdo., 2013. "A remark on definable paths in regular O-minimal equilibrium manifolds," MPRA Paper 51820, University Library of Munich, Germany.
- Andrea, Loi & Stefano, Matta, 2006.
"Evolution paths on the equilibrium manifold,"
4694, University Library of Munich, Germany.
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