Mathematical Behavioral Sciences
Books Authored by IMBS Faculty



   Anthropology     Cognitive Science     Computer Science      Economics    
  Logic & Philosophy     Mathematics     Political Sciences     Sociology

 

            "Modeling the Internet and the Web"
          Pierre Baldi, Paolo Frasconi, and Padhraic Smyth
            2003, Wiley Press

 

           "Bioinformatics - The Machine Learning Approach"
           Pierre Baldi and Soren Brunak
            2001, MIT Press
 

 

            "DNA Microarrays and Gene Expression"
           Pierre Baldi and G. Wesley Hatfield
            2002, Cambridge University Press

 

            "The Shattered Self -- The End of Natural Evolution
           Pierre Baldi
            2001, MIT Press

 

  "Hollywood Economics --How Extreme Uncertainty Shapes the Film Industry"
   Arthur S. De Vany

    2003, Routledge

 

 

 

 

 

"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.
 

 

"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.


"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 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.

 



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.

 


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.


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.

 



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.

 

 

A Unified Theory of Voting
Bernard Grofman with Samuel Merrill, III
1998 Agathon Press

 


 

    "Conflict and Governance"
    Amihai Glazer and Kai Konrad
    i
    Amihai Glazer an
    olutions appear. The book providesan overview of existing literature, applies the theory of conflict to new situations, and gives foundations for future work. It should interest both researchers and students studying political economy, public choice, international relations, and comparative politics.

     


    "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."

     

     

"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.

 


"Theories of Meaningfulness"
Louis Narens
2002, Lawrence Erlbaum Associates, Mahwah, NJ

 

 

 

 

 

 

 

"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.

     

    "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

"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.

 



Valuation of Travel-Time Savingss 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.

 



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



Special Issue on Chiness Urban Development
  Kenneth A Small., guest editor

2002, 39(12)

 

 

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

2000

Bayesian Data Analysis
Andrew Gelmanb, John B. Carlin, Hal S. Stern, Donald B. Rubin
2003, CHAPMAN AND HALL/CRC , 2nd Edition
ISBN #   1-58488-388-X

Provides a thorough update of the groundbreaking text in Bayesian statistics.  This book describes the principles of Bayesian analysis, emphasizing practical rather than theoretical issues.  It guides readers through the entire process of Bayesian analysis using real, applied examples.  A variety of statistical models are considered, including linear regression, hierarchical (random effects) models, robust models, generalized linear models, and mixture models.  Issues ranging from incorporating information about data collection to checking model adequacy, to handling missing data are addressed -all from a consistent and pragmatic Bayesian perspective.


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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.”


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














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




Games Prisoners Play

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







The Global Structure of Visual Space
Tarow Indow
ISBN 981-238-842-7




Computatonal biology of cancer:lecture notes and mathematical modeling (2005) 
Dominik Wodarz & Natalla Komarova

  World Scientific Publishing Company
ISBN 981-256-027-0




Individual Choice Behavior
R. Duncan Luce

2005, Dover
ISBN 0-486-44136-9




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.







A Unified Theory of Party Competition
Bernard Grofman

Cambridge University Press
ISBN: 0521836441





Electric Fields of the Brain
(Second Edition)
Paul L. Nunez and Ramesh Srinivasan




The Logic of Democracy:

Reconciling Equality, Deliberation, and Minority Protection
(Michigan Studies in Political Analysis) (Paperback)

Anthony McGann
2005, University of Michigan Press

 

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





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 )

 

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

Editors

2007 Springer-Verlag
ISBN-10: 0387976655
ISBN-13: 978-0387976655

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

Linton Freeman






Theories of Probability
An Examination of Logical and Qualtative Foundation

Louis Narens


  

Media Theory
Interdisciplinary Applied Mathematics
Divid Eppstein, Jean-Claude Falmagne
Sergei Ovchinnikov
2007 Springer
ISBN 978-3-540-71696-9




Lo Sviluppo Dell'Analisi
Delle Reti Sociali
Uno studio di sociologia della scienza
Edizione italiana a cur di Rosanna Memoli
Linton C. Freeman