Mathematical Behavioral Sciences Books Authored by IMBS Faculty


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Foundations For Social and Biological Evolution

A. Iberall, D. Wilkison, D. White 

1994,  Physical-Philosophic Publications, 
ISBN 0- 9638799-1 Library of Congress Catalog Card #93-90828







Network Analysis and Ethnographic Problems

Douglas R. White and Ulla Johanson

2005, Lexington Press, Boston.  
ISBN # 0-7391-0896-4

“[W]hat could be the most important book in anthropology in fifty
 years,“ writes a reviewer for the International Journal of
 MiddleEast Studies, “begins with an introduction to network
analysis in relation to ethnography, providing a succinct history of
network thinking including very recent developments in various
disciplines about network topology and dynamics.” “In addition to its
contribution to our understanding kinship theory in a quite new way,
this book makes an outstanding contribution by reintroducing
ethnographers to the network perspective.” “The authors point out
that ‘taking a network path to coding and analysis’ in ethnography
leads to the ability to understand the emergence of social structural
phenomena that would otherwise remain unobserved.” “Whether the
reader is interested in kinship, in economics, in politics or history,
this book might be considered must reading.”


Cognitive Science

Visual Intelligence: How We Create What We See 

Donald D. Hoffman 
1998, W.W. Norton
"This book is a highly illustrated and accessible introduction to visual intelligence, informed by the latest breakthroughs in vision research. Perhaps the most surprising insight that has emerged from vision research is this: Vision is not merely a matter of passive perception, it is an intelligent process of active construction. What you see is, invariably, what your visual intelligence constructs. Just as scientists intelligently construct useful theories based on experimental evidence, so vision intelligently constructs useful visual worlds based on images at the eyes. The main difference is that the constructions of scientists are done consciously, but those of vision are done, for the most part, unconsciously." 

Knowledge Spaces

Jean-Paul Doignon and Jean-Claude Falmagne

1999, Springer

ISBN #:  3-540-64501

Knowledge Spaces are combinatoric structures providing the mathematical foundation for various practical systems of knowledge assessment. These structures generalize partially ordered sets and are investigated both from a combinatorial and stochastic viewpoint. The material is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate level.  


Utility of Gains and Losses: Measurment-Theoretical and Experimental Approaches 

R. Duncan Luce
2000, Lawrence Erlbaum Associates, Mahwah, NJ
ISBN # 0-8058-3460-5
This monograph brings together a decade of work that for gains alone or losses alone is like the cumulative weighting of a number of other utility theories, but for mixed gains and losses is novel. The key technical device is to study preferences both over certain and uncertain alternatives (gambles) and over their joint receipt (having two or more gambles as a bundle). Axioms describe preferences over gambles and joint receipt separately as well as how they interact. These lead deductively to a value function that is additive over joint receipts and non-linearly related to the utility expression for gambles. Together, they result in new expressions for mixed gains and losses. Relations to the empirical literature are covered and empirical studies suggested.

Elements of Psychophysical Theory 

Jean-Claude Falmagne 
2002, Oxford Psychology Series VI, paperback 
1985 Oxford University Press 
IBSN 0-19-503-493-7; 0-19-514-832-0 (pbk)
Presents the basic notions of classical psychophysics from the modern viewpoint offered by measurement theory. 
The text contains an introduction to measurement theory and functional equations, with numerous applications to psychophysics. Other chapters cover Fechnerian psychophysics, psychometric functions theory, discrimination models, signal detection theory and homogeneity laws.

Theories of Meaningfulness

Louis Narens 
2002, Lawrence Erlbaum Associates, Mahwah, NJ

Lectures in Elementary Probability and Stochastic Processes 

Jean-Claude Falmagne 
2003, McGraw-Hill Higher Education 
ISBN 0-07-244890-3
Provides a foundation for mathematical statistics and mathematical modelling. The book is appropriate for  one-term courses in elementary probability. Most of it is accessible to students with a limited background in calculus. One introductory chapter is devoted to well-known examples of faulty probabilistic reasoning and proposes startegies for avoiding common mistakes.

The Global Structure of Visual Space

Tarow Indow
ISBN 981-238-842-7

Electric Fields of the Brain (Second Edition)

Paul L. Nunez and Ramesh Srinivasan

Individual Choice Behavior

R. Duncan Luce
2005, Dover
ISBN 0-486-44136-9

Introduction to the Theories of Measurement and Meaningfulness and the Use of Symmetry in Science

Louis Narens
2007 Lawrence Erlbaum Publisher 
ISBN-10: 0805862021
ISBN-13: 978-0805862027

Mathematical Psychology: Current Developments

Jean-Paul Doignon & Jean-Claude Falmagne
2007 Springer-Verlag
ISBN-10: 0387976655
ISBN-13: 978-0387976655

Theories of Probability
An Examination of Logical and Qualtative Foundation

Louis Narens

Media Theory Interdisciplinary Applied Mathematics

David Eppstein, Jean-Claude Falmagne
Sergei Ovchinnikov
2007 Springer
ISBN 978-3-540-71696-9

Learning Spaces Interdisciplinary Applied Mathematics

Jean-Claude Falmagne and Jean-Paul Doignon
2010 Springer 
ISBN #:  978-3-642-01038-5
Learning spaces offer a rigorous mathematiacal foundation for 
various practical systems of knowledge assessment.

Knowledge Spaces (Hardcover)

Jean-Claude Falmagne, Dietrich Albert, Christopher Doble, David Eppstein, Xiagen Hu
2013 Springer 
ISBN #:  978-3642353284

Human Information ProcessingsVision, Memory, and Attention

Charles Chubb, Barbara A. Dosher, Zhong-Lin Lu, and Richard M. Shiffrin
2013 American Psychological Association 
ISBN #:  978-1-4338-1273-6


Computer Science

Bioinformatics - The Machine Learning Approach 

Pierre Baldi and Soren Brunak
2001, MIT Press

The Shattered Self - The End of Natural Evolution 

2001, MIT Press

DNA Microarrays and Gene Expression 

Pierre Baldi and G. Wesley Hatfield 
2002, Cambridge University Press

Modeling the Internet and the Web 

Pierre Baldi, Paolo Frasconi, and Padhraic Smyth 
2003, Wiley Press

Media Theory Interdisciplinary Applied Mathematics

David Eppstein, Jean-Claude Falmagne
Sergei Ovchinnikov
2007 Springer
ISBN 978-3-540-71696-9


What Are Consciousness, Animacy, Mental Activity and the Like?


Vladimir A. Lefebvre

2014, Leaf & Oaks Publisher

ISBN 9780578141367




Environment and Transport in Economic Modelling 

Kenneth A. Small, Roberto Roson 
1998, Kluwer Academic Press
A collection of papers on quantitative modeling of problems in the environmental effects of transportation.

Urban Transportation Economics
(Japanese translation published in Japanese Transportation Policy Research Series, Vol. 13)

Kenneth A. Small 
1999, Keiso Shobo Ltd., Tokyo

Valuation of Travel-Time Savings and Predict-ability in Congested Conditions for Highway User-Cost Estimation 

Kenneth A. Small, Robert Noland, Xuehao Chu and David Lewis 
1999, National Academy Press
This report describes how travel-time savings can be given a monetary value that accounts for uncertainty in travel time for a given trip, and also varies with amount of congestion. Measures are made using stated preference surveys from southern California, in which travelers state their travel choices under various hypothetical scenarios. A separate survey of freight carriers is used to value time and reliability for those firms. The work is incorporated into processes for project evaluation, in which time and reliability play a large role.

Guest editor. Special Issue on "Assessment and Amelioration of Environmental Impacts of Transport"

Journal of Transport Economics and Policy, 34(2)
Guest editor Kenneth A Small

Why Government Succeeds

Amihai Glazer and Lawrence Rothenberg 
2001, Cambridge: Harvard University Press

Chaotic Elections; A Mathematician Looks at Voting 

Donald G. Saari 
2001, American Mathematical Society 
ISBN 0-8218-2847-9
This expository book shows how to identify and characterize a disturbingly large number of paradoxical situations the arise from the choice of a voting procedure.  Rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is surprisingly large.  Postive results are obtained

Decisions and Elections - Explaining the Unexpected 

Donald G. Saari 
2001, Cambridge University Press 
ISBN #: 0-521-80816-2
It is not uncommon to be frustrated by a decision -- whether in elections, law, economics, engineering,  management, and so forth. Is this due to bad data, bad colleagues, or is there something deeper?  Kenneth Arrow's famed theorem suggests it is a problem we have to accept; his theorem has been interpreted as stating that "No decision procedure is fair."  This seminal result has formed a barrier in searching for positive conclusions.  In this book, this obsticale is removed; as shown,  Arrow's Theorem has a radically different and benign interpretation.  As shown,  the new explanation for Arrow's result holds for a surprisingly large number of other situations  from several areas.  Also, by knowing why Arrow's Theorem arises, positive results can be derived.

Conflict and Governance 

Amihai Glazer and Kai Konradi

Special Issue on Chiness Urban Development

Kenneth A Small., guest editor
2002, 39(12) 

Hollywood Economics - How Extreme Uncertainty Shapes the Film Industry

Arthur S. De Vany
2003, Routledge

Bayesian Econometric Methods 

Gary Koop,  Dale J. Poirier, Justin L. Tobias
2007, Cambridge University Press
ISBN: 978-0-521-85571-6 (Hard Cover)
ISBN: 978-0-521-67173-6 (Paperback)

Disposing Dictators, Demystifying Voting Paradoxes: Social Choice Analysis 

Donald G. Saari
2008, Cambridge University Press
ISBN: 978-0-521-51605-1 Hard Cover
ISBN: 978-0-521-73160-7  Paperback


Logic and Philosophy 

Evolution of the Social Contract 

Brian Skyrms 
1996, Cambridge University Press 
ISBN 0521555833 (paperback)

The Stag Hunt and the Evolution of Social Structure 

Brian Skyrms 
2004, Cambridge University Press 
ISBN: 0521533929
Brian Skyrms, author of the successful Evolution of the Social 
Contract (which won the prestigious Lakatos Award) has written a sequel. The new book is a study of ideas of cooperation and collective action. The point of departure is a prototypical story found in Rousseau’s A Discourse on Inequality.  Rousseau contrasts the pay-off of hunting hare where the risk of non-cooperation is small but the reward is equally small, against the pay-off of hunting the stag where maximum cooperation is required but where the reward is so much greater. Thus, rational agents are pulled in one direction by considerations of risk and in another by considerations of mutual benefit. Written with all Skyrms’s characteristic clarity and verve, this intriguing book will be eagerly sought out by students and professionals in philosophy, political science, economics, sociology and evolutionary biology. 

Signals: Evolution, Learning & Information

Brian Skyrms
Brian Skyrms presents a fascinating exploration of how fundamental signals are to our world. He uses a variety of tools -- theories of signaling games, information, evolution, and learning -- to investigate how meaning and communication develop. He shows how signaling games themselves evolve, and introduces a new model of learning with invention. 

From Zeno to Arbitrage: Essays on Quantity, Coherence, and Induction

Brian Skyrms
2013 Oxford
ISBN 9780199652815



Computational Biology of Cancer: Lecture Notes and Mathematical Modeling (2005)  

Dominik Wodarz & Natalla Komarova
World Scientific Publishing Company
ISBN 981-256-027-0

An Introduction to Fronts in Random Media

Jack Xin
2009, Springer
ISBN 978-0-387-87682-5
Offers exercises and examples.
Contains an expository style of writing.
Provides a step-by-step approach.

The Power Of Mathematical Thinking: From Newton's Law To Elections And The Economy

Donald G. Saari 

The Physics of Wall Street: A Brief History of Predicting the Unpredictable

James Own Weatherall
2013 Houghton Mifflin Harcourt
ISBN 9780547317274

Mathematics in Image Processing

Hongkai Zhao, Editor

2013 American Mathematical Society Institute for Advanced Study

ISBN 978-0-8218-9841-3

Mathematical Modeling and Signal Processing in Speech and Hearing Sciences


Jack Xin and Yingyong Qi

2014 Springer Publications

ISBN 978-3-319-03086-9







Political Science

Evolution of the Social Contract 

Brian Skyrms 
1996, Cambridge University Press 
ISBN 0521555833 (paperback)

Race and Redistricting in the 1990

Bernard Grofman (ed.)
1998, New York: Agathon Press
ISBN: 0875861237
A collection covering legal and social science issues in the 1980s redistricting, with a focus on Section 2 and Section 5 of the Voting Rights Act.                              

A Unified Theory of Voting

Bernard Grofman with Samuel Merrill, III
1998 Agathon Press

Elections in Japan, Korea and Taiwan under the Single Non-Transferable Vote: The Comparative Study of an Embedded Institution

Bernard Grofman, Sung-Chull Lee, Edwin Winckler and Brian Woodall (eds.)
1999, Ann Arbor, MI: University of Michigan Press
ISBN: 047210909X
The first in a series covering the world's major electoral systems viewed as politically embedded mechanisms: here the single non-transferable vote.

Elections in Australis, Ireland and Malta under the Single Transferable Vote

Shaun Bowler and Bernard Grofman (eds.)
2000, Ann Arbor, MI: University of Michigan Press
ISBN: 0472111590
The second in a series covering the world's major electtoral systems viewed as politically embedded mechanisms: here the single transferable vote and variations thereof. 

Legacies of the 1964 Civil Right Act

Bernard Grofman (ed.)
2000, Charlottesville, VA: University Press of Virginia
ISBN: 0813919215
A non-polemic collection devoted to understanding the real world consequences of the Civil Rights Act of 1964.

Political Science as Puzzle Solving

Bernard Grofman (ed.)
2001,  Ann arbor, MI: University of Michigan Press
ISBN: 0472087231
Argues that debate in the abstract about rational choice versus constructivism vs cultural perspectives debate is misguided; rather we should focus on concrete empirical puzzles and try to come up with sensible and testable models and hypotheses.

The Evolution of Electoral and Party Systems in the Nordic Countries

Bernard Grofman Arend Lijphart (eds.)
2002, New York: Agathon/Algora Press
ISBN: 0875861393
The most recent book in a series covering the world's major electoral systems viewed as politically embedded mechanisms: here list methods of proportional representation.

Games Prisoners Play

Marek Kaminski 
Princeton University Press
ISBN 0-691-11721-7

The Logic of Democracy: Reconciling Equality, Deliberation, and Minority Protection 

(Michigan Studies in Political Analysis) (Paperback) 
Anthony McGann
2005, University of Michigan Press

A Unified Theory of Party Competition

Bernard Grofman
Cambridge University Press
ISBN: 0521836441

Behavioral Social Choice: Probabilistic Models, Statistical Inference, and Applications

Michel Regenwetter, Bernard Grofman, A. A. J. Marley, and Ilia Tsetlin 
2006, New York : Cambridge University Press

Making Social Sciences More Scientific 
The Need for Predictive Models

Rein Taagepera
2008 OXFORD University Press
ISBN 978-0-19-953466-1

Predicting Party Sizes: 
The Logic of Simple Electoral Systems

Rein Taagepera
2007 OXFORD University Press
ISBN 978-0-19-928774-1



The Development of Social Network Analysis

Linton C. Freeman
Empirical Press
ISBN 1-59457-714-5
Ideas about social structure and social networks are very old. People have always believed that biological and social links among individuals are important. But it wasn’t until the early 1930s that systematic research that explored the patterning of social ties linking individuals emerged. And it emerged, not once, but several times in several different social science fields and in several places. This book reviews these developments and explores the social processes that wove all these “schools” of network analysis together into a single coherent approach

The Development of social Network Analysis
A Study in the Sociology of Science

Japanese Version
Linton C. Freeman

Lo Sviluppo Dell'Analisi

Delle Reti Sociali
Uno studio di sociologia della scienza
Edizione italiana a cur di Rosanna Memoli
Italian Version
Linton C. Freeman

The Development of social Network Analysis
A Study in the Sociology of Science

Chinese Version
Linton C. Freeman

Social Network Analysis 

Linton Freeman
2007 Sage Publications, London



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