The Geometry of Finite Equilibrium Datasets
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The Geometry of Finite Equilibrium Datasets. / Balasko, Yves; Tvede, Mich.
Department of Economics, University of Copenhagen, 2009.Research output: Working paper › Research
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TY - UNPB
T1 - The Geometry of Finite Equilibrium Datasets
AU - Balasko, Yves
AU - Tvede, Mich
N1 - JEL Classification: D31, D51
PY - 2009
Y1 - 2009
N2 - 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 non collinear.
AB - 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 non collinear.
KW - Faculty of Social Sciences
KW - equilibrium manifold
KW - rationalizability
KW - pathconnectedness
M3 - Working paper
BT - The Geometry of Finite Equilibrium Datasets
PB - Department of Economics, University of Copenhagen
ER -
ID: 11954179