Nonlinear modeling: all things suffer change / Diana Richards -- pt. 1. Spatial nonlinearity: optimization and search. Consequences of nonlinear preferences in a federal system / Ken Kollman, John H. Miller, and Scott E. Page. Landscapes as analogues of political phenomena / D. Scott Bennett -- pt. 2. Temporal nonlinearity: complexity over time. Episodic nonlinear event detection: political epochs in exchange rates / Chris Brooks, Melvin J. Hinich, and Robert E. Molyneux. Congressional campaign contributions, district service, and electoral outcomes in the United States: statistical tests of a formal game model with nonlinear dynamics / Walter R. Mebane Jr. I know you know he or she knows we know you know they know: common knowledge and the unpredictability of informational cascades / Susanne Lohmann. Nonlinear dynamics in games: convergence and stability in international environmental agreements / Diana Richards -- pt. 3. Functional nonlinearity: networks and patterns. Stochastic prediction and estimation of nonlinear political durations: an application to the lifetime of bureaus / Daniel P. Carpenter. Neural network models for political analysis / Langche Zeng. Economic sanctions and neural networks: forecasting effectiveness and reconsidering cooperation / David H. Bearce. Pattern recognition of international crises using hidden Markov models / Philip A. Schrodt -- pt. 4. Conclusion. Optimizing, strategizing, and recognizing: learning in a dynamic social environment / Diana Richards