This paper is a self-contained survey of algorithms for computing Nash equilibria of two-person games. The games may be given in strategic form or extensive form. The classical Lemke-Howson algorithm finds one equilibrium of a bimatrix game, and provides an elementary proof that a Nash...

The Consistent Preferences Approach to Deductive Reasoning in Games presents, applies, and synthesizes what my co-authors and I have called the 'consistent preferences' approach to deductive reasoning in games. Briefly described, this means that the object of the analysis is the ranking by each...

Motivating Examples -- Decision-Theoretic Framework -- Belief Operators -- Basic Characterizations -- Relaxing Completeness -- Backward Induction -- Sequentiality -- Quasi-Perfectness -- Properness -- Capturing forward Induction through Full Permissibility -- Applying Full Permissibility to...

Market impact is the effect caused by transactions that can move asset prices. Nash equilibria describe an optimal state for the players in a non-cooperative game. In this thesis, we combine these two concepts to analyze the competing behavior of two or more large traders in a financial market....