Dresden 2003 – wissenschaftliches Programm
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 7: Makro-ökonomische Modelle und Wirtschaftswachstum II
AKSOE 7.2: Vortrag
Mittwoch, 26. März 2003, 14:30–15:00, BAR/205
The Ramsey-Problem — •Christian Hirtreiter1 and Johannes Schneider2,3 — 1Institut für Organische Chemie, Fakultät für Chemie und Pharmazie, Universität Regensburg, 93040 Regensburg, Germany — 2School of Engineering and Computer Science, The Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel — 3Fachbereich Physik, Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany
An important problem in economics is determing the roles of the single parts of a national economy. Especially, the single parts have to be ordered hierarchically according to the perspective which of these parts are users and which are suppliers for the overall economy. This problem was already studied decades ago by Fred Ramsey [1]. He defined an interaction matrix D with D(i,j) being the value of goods produced by the industry sector i and sold to the industry sector j. The task is to find a permutation σ of the N parts of the economy, such that σ(1) is the largest user and σ(N) is the largest supplier. This problem is also of special interest for physicists as it stands in between spin glass models and the Traveling Salesman Problem.
[1] F. L. Ramsey, D. A. Pierce, V. J. Bowman, Triangularization of Input-Output Matrices, Technical Report No. 16, Department of Statistics, Oregon State University