Introduction -- Noncooperative Games -- Discrete Static Games -- Continuous Static Games -- Relation to Other Mathematical Problems -- Existence of Equilibria -- Computation of Equilibria -- Special Matrix -- Uniqueness of Equilibria -- Repeated and Dynamic Games -- Games under Uncertainty --...

In this paper we formalize a new form of two-player game, that we call decision- form. A two-player decision-form game consists in a pair of decision rules, representing the rationality of each player. We develop the basic facts of this type of games, showing that this form of game generalizes...

In this report, we outline a method for approximating a Markovian (or feedback-Nash) equilibrium of a dynamic game, possibly subject to coupled-constraints. We treat such a game as a "multiple" optimal control problem. A method for approximating a solution to a given optimal control problem via...

We draw together concepts from political science, law, and economics to model discretionary actions by agents in a weak hierarchical system, wherein agents at a higher level cannot directly discipline those at a lower level. In particular, we model the decision by an appeals court judge to...