T. Lux, THE SOCIOECONOMIC DYNAMICS OF SPECULATIVE MARKETS - INTERACTING AGENTS, CHAOS, AND THE FAT TAILS OF RETURN DISTRIBUTIONS, Journal of economic behavior & organization, 33(2), 1998, pp. 143-165
This paper develops a model of the social and economic interaction of
speculators in a securities or foreign exchange market. Both chartist
and fundamentalist strategies are pursued by traders. The formalizatio
n of chartists behavior combines elements of mimetic contagion and tre
nd chasing leading to waves of optimism or pessimism. Furthermore, cha
nges of strategies from chartist to fundamentalist behavior and vice v
ersa occur because speculators compare the performance of both strateg
ies. The dynamic system under study encompasses the time development o
f the distribution of attitudes among traders as well as price adjustm
ent. Chaotic attractors are found within a broad range of parameter va
lues. The distributions of returns derived from chaotic trajectories o
f the model share important characteristics of empirical data: they ex
hibit high peaks around the mean as well as fat tails (leptokurtosis)
and become less leptokurtotic under time aggregation. (C) 1998 Elsevie
r Science B.V.