Minority game: a mean-field-like approach

CARIDI INÉS; CEVA HORACIO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier Science

Año: 2003 vol. 317 p. 247 - 258

0378-4371

We calculate the standard deviation of (N1-N0), the difference of the number of agents choosing between the two alternatives of the minority game. Our approach is based on two approximations: we use the whole set of possible strategies, rather than only those distributed between the agents involved in a game; moreover, we assume that a period-two dynamics discussed by previous authors is appropriate within the range of validity of our work. With these approximations we introduce a set of states of the system, and are able to replace time averages by ensemble averages over these states. Our results show a very good agreement with simulations results for most part of the informationally efficient phase. PACS classification codes: 05.65.+b; 02.50.Le; 87.23.Ge