Payoff dominance, a criterion for choosing between equilibrium points
in games, is intuitively compelling, especially in matching games and
other games of common interests, but it has not been justified from st
andard game-theoretic rationality assumptions. A psychological explana
tion of it is offered in terms of a form of reasoning that we call the
Stackelberg heuristic in which players assume that their strategic th
inking will be anticipated by their co-player(s). Two-person games are
called Stackelberg-soluble if the players' strategies that maximize a
gainst their co-players' best replies intersect in a Nash equilibrium.
Proofs are given that every game of common interests is Stackelberg-s
oluble, that a Stackelberg solution is always a payoff-dominant outcom
e, and that in every game with multiple Nash equilibria a Stackelberg
solution is a payoff-dominant equilibrium point. It is argued that the
Stackelberg heuristic may be justified by evidentialist reasoning.