Comment on: Thermal model for Adaptive Competition in a Market

Details Comment on: Thermal model for Adaptive Competition in a Market Comment on: Thermal model for Adaptive Competition in a Market

2000-04-18

arxiv.org/abs/cond-mat/0004308v2

Physics

Condensed Matter

Statistical Mechanics

Comment to cond-mat/9903415; PRL 83, 4429 (1999) by Cavagna et al. Revised version with a modified figure

Scientific paper

We show that the dynamical equations describing the collective behavior of the model introduced by Cavagna et al. i) are not their Eqs. (5,6) but rather ii) are the same as those of the minority game (MG). As a consequence the analytic solution of the MG presented in [PRL, 84, 1824 (2000)] holds also for this model. Finally we show that iii) the the large temperature behavior of the model is different, due to small simulation times, from that discussed by Cavagna et al.

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