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Books > Social sciences > Sociology, social studies > Social issues
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The Mathematics of Collective Action (Hardcover)
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The Mathematics of Collective Action (Hardcover)
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Philosophers, social scientists, and laymen have used two
perspectives in analyzing social action. One sees man's action as
the result of causal forces, and the other sees action as purposive
and goal directed. Mathematical treatment of social action has
shown this same dichotomy. Some models of behavior describe a
causal process, in which there is no place for intention or
purpose. Most stochastic models of behavior, whether individual or
group, are like this. Another body of work, however, employs
purpose, anticipation of some future state, and action designed to
maximize the proximity to some goal. Classical microeconomic
theory, statistical decision theory, and game theory exemplify this
direction.This book examines these two directions of work, and
makes original contributions to the second. An introductory chapter
outlines these two bodies of work, and casts them in a common
frame, to display their similarities and differences. Chapter 2
reviews at length recent work in stochastic processes that makes up
the first body of work, which sees social action as the resultant
of causal forces. The remaining chapters develop a mathematical
framework for the study of systems of social action using a
purposive theoretical base. These chapters are designed
particularly to contribute to the study of collective decisions, a
form of social action that has proved particularly challenging to
theoretical analysis. First published in 1973, this became a
significant work both in problem solving and in the future career
of the author. It is of continuing importance to researchers and
students interested in statistical analysis.
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