Topological vector spaces admissible in economic equilibrium theory
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Topological vector spaces admissible in economic equilibrium theory. / Keiding, Hans.
I: Journal of Mathematical Analysis and Applications, Bind 351, Nr. 2, 2009, s. 675 - 681.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Topological vector spaces admissible in economic equilibrium theory
AU - Keiding, Hans
PY - 2009
Y1 - 2009
N2 - In models of economic equilibrium in markets with infinitely many commodities, the commodity space is an ordered topological vector space endowed with additional structure. In the present paper, we consider ordered topological vector spaces which are admissible (for equilibrium analysis) in the sense that every economy which is reasonably well behaved posesses an equilibrium. It turns out that this condition may be characterized in terms of topology and order. This characterization implies that the commodity space has the structure of a Kakutani space.
AB - In models of economic equilibrium in markets with infinitely many commodities, the commodity space is an ordered topological vector space endowed with additional structure. In the present paper, we consider ordered topological vector spaces which are admissible (for equilibrium analysis) in the sense that every economy which is reasonably well behaved posesses an equilibrium. It turns out that this condition may be characterized in terms of topology and order. This characterization implies that the commodity space has the structure of a Kakutani space.
KW - Faculty of Social Sciences
KW - Kakutani space
U2 - 10.1016/j.jmaa.2008.11.004
DO - 10.1016/j.jmaa.2008.11.004
M3 - Journal article
VL - 351
SP - 675
EP - 681
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -
ID: 9769206