Buch(elektronisch)2005

The Mathematics of Collective Action

Coleman, James; Coleman, James; Smith, Robert; Smith, Robert

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Abstract

Cover Page -- Halftitle Page -- Title Page -- Copyright Page -- AldineTransaction Introduction -- Content Page -- Preface -- 1 Mathematics of Social Action -- Causal processes -- Purposive action -- Causal theory and models of action -- Bernoulli events and the Poisson process -- Extensions of Bernoulli trials -- The deficient diagonal, and three extensions of Markov chains -- Extensions of Bernoulli trials: heterogeneity in response probabilities -- Extensions of the Poisson process: continuous-time Markov process -- The deficient diagonal: response unreliability -- Dependence of transition rates on other factors -- Transition rates dependent on numbers of preceding events -- Initiated and terminating processes -- Purposive action theory -- 2 Concepts of Rational Action -- Rational action under varying circumstances -- 3 Collective Actions -- Definitions -- Structural definitions -- A framework for collective action -- The problem of maximization -- The probabilistic decision rule -- 4 Further Concepts and Applications -- Additional concepts -- List of concepts in the theory -- Examples of applications -- The problem of data Appendix: Notes on Trad 11: Computer program to solve for equilibrium -- 5 The Dynamic System, and Other Elaborations -- Dynamics and the movement to equilibrium -- Maximization versus proportional allocation of interests -- Relaxing the probabilistic decision rule -- Sequential introduction of events -- Multi-stage decision processes Appendix: Notes on Trad 12: Computer program for systems of vote exchange -- References -- Computer Program and Output -- Index