Book:Hayward R. Alker, Jr./Mathematics and Politics

Subject Matter

 * Game Theory
 * Economics

Contents

 * Preface
 * Acknowledgements


 * $1$
 * Mathematics and Politics: Some Historical Relationships
 * A. Elements in the History of Mathematics
 * B. Early Applicaitons of Mathematics to Politics
 * C. Mathematics for Political Analysis


 * $2$
 * Politics and its Measurement
 * A. Definitions of Politics
 * B. Questions Asked by Political Analysts
 * C. Qualitative and Quantitative Political Analysis
 * D. Requirements of Scientific Descriptions


 * $3$
 * Measuring Inequality
 * A. Mathematical Definitions of Inequality
 * B. Unequal Votes, Taxes, and Schools


 * $4$
 * Two-variable Relationships
 * A. Relationships between Attributes
 * B. Correlation and Regression Analysis
 * C. Associating Qualitites Means Correlation Quantities


 * $5$
 * Multiple Relationships
 * A. The Effects of a Third Variable
 * B. The Analysis of Covariance: A General Formulation
 * C. Multivariate Theories about Politics


 * $6$
 * Correlation and Causation
 * A. Evidence and Inference
 * B. Spurious Correlation: A Causal Interpretation
 * C. A Provisional Causal Analysis


 * $7$
 * Strategy, Morality, and Politics
 * A. Zero-sum Rationality in Conflict Situations
 * B. Cooperative Rationality in Non-zero-sum Conflicts
 * C. Game Theory and Democratic Theory


 * Political Judgement and Statistical Significance
 * Political Judgement and Statistical Significance