  We consider the strategic interaction of traders in a continuous-time
financial market with Epstein-Zin-type recursive intertemporal preferences and
performance concerns. We derive explicitly an equilibrium for the finite player
and the mean-field version of the game, based on a study of geometric backward
stochastic differential equations of Bernoulli type that describe the best
replies of traders. Our results show that Epstein-Zin preferences can lead to
substantially different equilibrium behavior.
