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Mathematical Models in the Social Sciences

John Kemeny and J. Laurie Snell
Publisher: 
The MIT Press
Publication Date: 
1978
Number of Pages: 
154
Format: 
Paperback
Price: 
22.00
ISBN: 
978-0262610308
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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Preface
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v
I On the Methodology of Mathematical Models
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3
II Preference Rankings - An Axiomatic Approach 9
III Ecology - Two Dynamic Models 24
IV Market Stability - A Dynamic Model 35
V A Markov Chain Model in Sociology 54
VI Stabilization of Money Flow - An Application of Discrete Potential Theory 66
VII Branching Processes 78
VIII Organization Theory - Applications of Graph Theory 95
IX Optimal Scheduling - A Problem in Dynamic Programming 109
Appendixes
A A Fixed Point Theorem 123
B Utility Functions 125
C Finite Markov Chains 128
D Generating Functions 132
E A Combinatorial Lemma 134
F Functions of Two Variables 138
Index