  Effects of dynamical activity spillover in a noisy binary choice game (Ising
game) on a complete graph are studied. Binary choice games are very important
for both economics and statistical physics playing a role of the bridge between
these two fields. In this paper we investigate the effects of self-excited
activity induced by activity spillover on relaxation to equilibria and
transitions between metastable equilibria at finite times. Using the formalism
of master equations we show that both relaxation and interequilibria
transitions at finite time are accelerated by the effects of activity
spillover.
