A NEW VARIANT OF THE MINORITY GAME - Asset Value Game and Its Extension

Jun Kiniwa, Takeshi Koide, Hiroaki Sandoh

2012

Abstract

A minority game (MG) is a non-cooperative iterated game with an odd population of agents who make bids whether to buy or sell. Based on the framework of MG, several kinds of games have been proposed. However, the common disadvantage in their characteristics is to neglect past actions. So we present a new variant of the MG, called an asset value game (AG), in which every agent aims to decrease a mean asset value, that is, an acquisition cost averaged through the past actions. The AG, however, is too simple to reproduce the complete market dynamics. So we further consider an improvement of AG, called an extended asset value game (ExAG), and investigate their features and obtain some results by simulation.

References

  1. Andersen, J. V. and Sornette, D. (2003). The $-game. The European Physical Journal B, 31(1):141-145.
  2. Araujo, R. M. and Lamb, L. C. (2004). Towards understanding the role of learning models in the dynamics of the minority game. In Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence (ICTAI 2004), pages 727-731.
  3. Araujo, R. M. and Lamb, L. C. (2009). On the use of memory and resources in minority games. ACM Transactions on Autonomous and Adaptive Systems, 4(2).
  4. Challet, D. (2008). Inter-pattern speculation: beyond minority, majority and $-games. Journal of Economic Dynamics and Control, 32(1):85-100.
  5. Challet, D., Marsili, M., and Zhang, Y. C. (2001). Stylized facts of financial markets and market crashes in minority games. Physica A: Statistical Mechanics and its Applications, 294(3-4):514-524.
  6. Challet, D., Marsili, M., and Zhang, Y. C. (2005). Minority games - interacting agents in financial markets. Oxford University Press, New York, first edition.
  7. Coolen, A. C. (2005). The mathematical theory of minority games. Oxford University Press, New York, first edition.
  8. Ferreira, F. F. and Marsili, M. (2005). Real payoffs and virtual trading in agent based market models. Physica A: Statistical Mechanics and its Applications, 345(3- 4):657-675.
  9. Ferreira, F. F., Oliveira, V. M., Crepaldi, A. F., and Campos, P. R. (2005). Agent-based model with heterogeneous fundamental prices. Physica A: Statistical Mechanics and its Applications, 357(3-4):534-542.
  10. Giardina, I., Bouchaud, J. P., and Mezard, M. (2001). Microscopic models for long ranged volatility correlations. Physica A: Statistical Mechanics and its Applications, 299(1-2):28-39.
  11. Kiniwa, J., Koide, T., and Sandoh, H. (2009). Analysis of price behavior in lazy $-game. Physica A: Statistical Mechanics and its Applications, 388(18):3879-3891.
  12. Liu, X., Liang, X., and Tang, B. (2004). Minority game and anomalies in financial markets. Physica A: Statistical Mechanics and its Applications, 333:343-352.
  13. Marsili, M. (2001). Market mechanism and expectations in minority and majority games. Physica A: Statistical Mechanics and its Applications, 299(1-2):93-103.
  14. Martino, A. D., Giardina, I., and Mosetti, G. (2003). Statistical mechanics of the mixed majority-minority game with random external information. Journal of Physics A: Mathematical and General, 36(34):8935-8954.
  15. Takayasu, H., Miura, T., Hirabayashi, T., and Hamada, K. (1992). Statistical properties of deterministic threshold elements - the case of market price. Physica A: Statistical Mechanics and its Applications, 184(1- 2):127-134.
  16. Yamada, K., Takayasu, H., and Takayasu, M. (2007). Characterization of foreign exchange market using the threshold-dealer-model. Physica A: Statistical Mechanics and its Applications, 382(1):340-346.
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Paper Citation


in Harvard Style

Kiniwa J., Koide T. and Sandoh H. (2012). A NEW VARIANT OF THE MINORITY GAME - Asset Value Game and Its Extension . In Proceedings of the 4th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, ISBN 978-989-8425-96-6, pages 15-22. DOI: 10.5220/0003715800150022


in Bibtex Style

@conference{icaart12,
author={Jun Kiniwa and Takeshi Koide and Hiroaki Sandoh},
title={A NEW VARIANT OF THE MINORITY GAME - Asset Value Game and Its Extension},
booktitle={Proceedings of the 4th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},
year={2012},
pages={15-22},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003715800150022},
isbn={978-989-8425-96-6},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 4th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,
TI - A NEW VARIANT OF THE MINORITY GAME - Asset Value Game and Its Extension
SN - 978-989-8425-96-6
AU - Kiniwa J.
AU - Koide T.
AU - Sandoh H.
PY - 2012
SP - 15
EP - 22
DO - 10.5220/0003715800150022