A behavioral refinement of subgame perfect equilibria for repeated gam
es is proposed. A temporal deviation-free equilibrium requires that an
equilibrium should not assign an action profile from which a unilater
al deviation can make all the players better off at that stage. We cha
racterize the set of equilibrium payoffs and give a simple algorithm t
o find it. An extension of it, compensating equilibrium, requires that
an equilibrium should leave no room for the possibility that a multis
hot unilateral deviation can make all the players better off. We parti
ally characterize the equilibrium. Its relation to other refinement co
ncepts is also discussed. (C) 1996 Academic Press, Inc.