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# Statistical mechanics analysis of the equilibria of linear economies

## Author Info

• A. De Martino

(SMC-Roma 1, ICTP Trieste and KU Leuven)

• M. Marsili

(SMC-Roma 1, ICTP Trieste and KU Leuven)

• I. Perez Castillo

(SMC-Roma 1, ICTP Trieste and KU Leuven)

Registered author(s):

## Abstract

The optimal (`equilibrium') macroscopic properties of an economy with $N$ industries endowed with different technologies, $P$ commodities and one consumer are derived in the limit $N\to\infty$ with $n=N/P$ fixed using the replica method. When technologies are strictly inefficient, a phase transition occurs upon increasing $n$. For low $n$, the system is in an expanding phase characterized by the existence of many profitable opportunities for new technologies. For high $n$, technologies roughly saturate the possible productions and the economy becomes strongly selective with respect to innovations. The phase transition and other significant features of the model are discussed in detail. When the inefficiency assumption is relaxed, the economy becomes unstable at high $n$.

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File URL: http://arxiv.org/pdf/cond-mat/0402049

## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number cond-mat/0402049.

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 Length: Date of creation: Feb 2004 Date of revision: Handle: RePEc:arx:papers:cond-mat/0402049 Contact details of provider: Web page: http://arxiv.org/

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