Herd behavior and return dynamics in a share market with many types of agents

Mathematics – Dynamical Systems

Scientific paper

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Markov Processes, Other Topics In Areas Of Applied And Interdisciplinary Physics, Other Topics In Statistical Physics, Thermodynamics, And Nonlinear Dynamical Systems, Stochastic Analysis Methods

Scientific paper

This paper considers a market in which shares of a holding company is traded by agents of many types. The market behavior is examined by regarding clusters of agents by types as random combinatorial partitions of agents by types. The equilibrium distribution is known to be the Ewens sampling formula. The paper examines the situations in which two types of agents dominate in the markets by using the marginal distribution for the two largest fractions of agent types. The returns are conjectured to obey a power-law. .

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