Dynamic equilibria in multigeneration stochastic games

Stochastic sequential games are considered, where, to each stage corresponds a generation of players. Introducing the concept of imperfect altruism, a class of solution concepts called intergenerational equilibria is investigated. Complete intergenerational equilibria, where all players adopt a non-cooperative mood of play are first characterized. Existence of stationary equilibria is proved for infinite horizon games. The concept of intergenerational game is then extended to allow for variable moods of play in each generation.