Topological Methods in Walrasian Economics
ISBN:
978-3-540-06622-4
Auflage:
Softcover reprint of the original 1st ed. 1974
Verlag:
Springer, Springer Berlin
Land des Verlags:
Deutschland
Erscheinungsdatum:
15.02.1974
Reihe:
Lecture Notes in Economics and Mathematical Systems
Format:
Softcover
Seitenanzahl:
131
Lieferung in 3-4 Werktagen
Versandkostenfrei ab 40 Euro in Österreich
In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo mics at the university of Bonn , w.Germany1~ The economists , how ever , had a mathematical background well above the average • Most of the material treated in that seminar is described in these notes. The connection between smooth preferences and smooth demand func tions [ see Debreu (1972) ] and regular economies based on agents with smooth preferences are not presented here • Some pedagogical difficulties arose from the fact that elementary knowledge of algebraic topology is not assumed although it is helpful and indeed necessary to make some arguments precise • It is only a minor restriction , at present , that functional ana lysis is not used • But with the development of the theory more economic questions will be considered in their natural infinite dimensional setting • Economic knowledge is not required , but especially a reader without economic background will gain much by reading Debreu's classic "Theory of Value" (1959) • Although the formulation of our economic problem uses a map between Euclidean spaces only , we shall also consider ma- folds • Manifolds appear in our situation because inverse images under differentiable mappings between Euclidean spaces are very often differentiable manifolds • ( Under differentiability assump tions , for instance , the graph of the equilibrium set correspon
Law and Practice of Crowdfunding and Peer-to-Peer Lending in Australia, China and Japan
Erscheinungsjahr:
2023
