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Article overview
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Rational Decisions, Random Matrices and Spin Glasses | Stefano Galluccio
; Jean-Philippe Bouchaud
; Marc Potters
; | Date: |
21 Dec 1997 | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | Affiliation: | CEA-Saclay and Science et Finance | Abstract: | We consider the problem of rational decision making in the presence of nonlinear constraints. By using tools borrowed from spin glass and random matrix theory, we focus on the portfolio optimisation problem. We show that the number of ``optimal’’ solutions is generically exponentially large: rationality is thus de facto of limited use. In addition, this problem is related to spin glasses with Lévy-like (long-ranged) couplings, for which we show that the ground state is not exponentially degenerate. | Source: | arXiv, cond-mat/9801209 | Services: | Forum | Review | PDF | Favorites |
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