Social Behaviour of Agents: Capital Markets and Their Small Perturbations · arXivDesk
physics/0505086May 11, 2005LaTeX, sociophysics, agents on capital markets, perturbation of the market. This version of the paper takes into account the author Jana Tothova contribution. arXiv admin note: text overlap with arXiv:cond-mat/0501002
Social Behaviour of Agents: Capital Markets and Their Small Perturbations
We study social behaviour of agents on capital markets when these are perturbed by small perturbations. We use the mean field method. Social behaviour of agents on capital markets is described: volatility of the market, aversion constant and equilibrium states are discussed. Relaxation behaviour of agents on the capital market is studied. Equation of motion for the agent average number is of the relaxation type. Development of the group of agents in the states corresponding to minimum of the aim function is either linear either exponentially damped. There exist characteristic volatility constants Vc3 and Vc3. The constant b of verification of information contribution to the aversion constant A and the
Nearby in the stack
A0
constant of aversion are distinguishing three types of dependencies of the minimum of the aim function on the expected volatility EV and on the expected returns E. Arbitrage trades and group forces lead the group into the equilibrium state. Verification of information intensity influences return back to the equilibrium state. The linear in time damping to the equilibrium state is characterized with the characteristic time
T3
and
T6
, the exponential with a characteristic time
τ
. Their dependence on the expected volatility, on the expected profit and characteristics of agents is discussed.