2001/02/21 by Michael L. Hart, Michael Hart, Paul Jefferies +1
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Opinion Dynamics and Social Influence #Statistical Mechanics and Entropy #cond-mat.dis-nn #nlin.AO
paper · pdf · doi:10.1016/s0378-4371(02)00804-x
Latex file, 11 pages, 6 figures
arxiv created 2001/02/21 · openalex publication_date 2002/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present exact analytic results for a new version of the Minority Game (MG) in which strategy performance is recorded over a finite time horizon. The dynamics of this Time Horizon Minority Game (THMG) exhibit many distinct features from the MG and depend strongly on whether the participants are fed real, or random, history strings. The THMG equations are equivalent to a Markov Chain, and yield exact analytic results for the volatility given a specific realization for the quenched strategy disorder.