David Gauthier stages a competition between two arguments, each of which purports to decide once for all transparent agents which is best, being a straight or being a constrained maximizer. The first argument, which he criticizes and rejects, is for the greater utility, on a certain weak assumption, of straight maximization for all transparent agents. The second, which he endorses, is for the greater utility on the same weak assumption of constrained maximization for all transparent agents.
In Section I, Gauthier’s account of constrained maximization is presented, and his use in the two arguments of the idea of choosing a disposition to choose actions is noted. Section II is about the unfortunate argument that Gauthier criticizes. This argument is flawed in ways additional to those he notices, but a less ambitious form of reasoning can, for individuals whose probabilities and values are right, be good for the greater expected utility of straight maximization. Section III takes up the argument that Gauthier endorses and maintains that it is wrong in a way specific to it as well as in ways closely related to all of the first argument’s noted flaws. An Appendix features a three-person prisoners’ dilemma and includes demonstrations of principal conclusions reached in the body of this paper.