We present a simple model of a stock market where a random communication st
ructure between agents generically gives rise to heavy tails in the distrib
ution of stock price variations in the form of an exponentially truncated p
ower law, similar to distributions observed in recent empirical studies of
high-frequency market data. Our model provides a link between two well-know
n market phenomena: the heavy tails observed in the distribution of stock m
arket returns on one hand and herding behavior in financial markets on the
other hand. In particular, our study suggests a relation between the excess
kurtosis observed in asset returns, the market order how and the tendency
of market participants to imitate each ether.