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Minority games with finite score memory

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Challet, Damien, 1974-, De Martino, Andrea, Marsili, Matteo, 1966- and Castillo, Isaac Pérez (2004) Minority games with finite score memory. Working Paper. Warwick Business School, Financial Econometrics Research Centre, Coventry.

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Abstract

We analyze grand-canonical minority games with infinite and finite score memory and different updating timescales (from ‘on-line’ games to ‘batch’ games) in detail with various complementary methods, both analytical and numerical. We focus on the emergence of ‘stylized facts’ and on the production of exploitable information, as well as on the dynamic behaviour of the models. We find that with finite score memory no agent can be frozen, and that all the current analytical methods fail to provide satisfactory explanation of the observed behaviours.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
Divisions: Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Stochastic analysis, Economics -- Mathematical models, Social networks -- Mathematical models, Game theory
Series Name: Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher: Warwick Business School, Financial Econometrics Research Centre
Place of Publication: Coventry
Date: 22 July 2004
Number: No.04-
Number of Pages: 16
Status: Not Peer Reviewed
Access rights to Published version: Open Access
References: [1] D. Challet and Y.-C. Zhang, Physica A 246 407 (1997) [2] D. Challet, M. Marsili and Y.-C. Zhang, Minority Games and beyond, Oxford University Press (Oxford, UK, 2004), forthcoming. [3] D. Challet, M. Marsili and R. Zecchina, Phys. Rev. Lett. 84 1824 (2000) [4] A. De Martino and M. Marsili, J. Phys. A: Math Gen. 34 2525 (2001) [5] J.A.F. Heimel and A.C.C. Coolen, Phys. Rev. E 63 056121 (2001) [6] J.A.F. Heimel and A. De Martino, J. Phys. A: Math Gen. 34 L539 (2001) [7] A.C.C. Coolen and J.A.F. Heimel, J. Phys. A: Math Gen. 34 10783 (2001) [8] M. Marsili, R. Mulet, F. Ricci-Tersenghi and R. Zecchina, Phys. Rev. Lett. 87 208701 (2001) [9] D. Challet, A. De Martino and M. Marsili, Physica A 338 143 (2004) [10] P. Jefferies, M.L. Hart, P.M. Hui and N.F. Johnson, Eur. Phys. J. B 20 493 (2001) [11] M.L. Hart, D. Lamper and N.F. Johnson, Physica A 316 649 (2002) [12] D. Challet and M. Marsili, Phys. Rev. E 68 036132 (2003) [13] T. Galla, unpublished. [14] H. Eissfeller and M. Opper, Phys. Rev. Lett. 68 2094 (1992) [15] D. Challet, M. Marsili and Y.-C. Zhang, Physica A 299 228 (2001) [16] D. Challet, M. Marsili and Y.-C. Zhang, Physica A 276, 284 (2000) [17] J. P. Garrahan, E. Moro, D. Sherrington, Phys. Rev. E 62 R9 (2000) [18] J. D. Farmer, Industrial and Corporate Change 11 895 (2002); SFI Working Paper 98-12-117 [19] P. Jefferies, M.L. Hart, P.M. Hui and N.F. Johnson, Int. J. Th and Appl. Fin. 3 3 (2000). [20] J.-Ph. Bouchaud and M. Potters, Theory of financial risks, Cambridge University Press (Cambridge, UK, 2000) [21] M. M. Dacorogna, R. Gen¸cay, U. M¨uller, R. B. Olsen and O. V. Pictet, An introduction to high-frequency finance, Academic Press (London, UK, 2001) [22] M. Marsili, D. Challet, Phys. Rev. E 64 056138 (2001) [23] D. Challet and M. Marsili, Phys. Rev. E 60 R6271 (1999)
URI: http://wrap.warwick.ac.uk/id/eprint/1791

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