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The Mathematical Sociologist Newsletter of the Mathematical Section of the American Sociological Association Spring 2003 Section Officers Chair From the newsletter editor Noah E. Friedkin, Barbara Meeker, [email protected] University of California, Santa Barbara The MathSoc Section Newsletter is [email protected] back by popular demand (sort of). After a gap of Chair Elect: about two years, I volunteered once again to David Heise, Indiana University produce the newsletter. Given the many very [email protected] competitive professional accomplishments we all Past Chair, and: Section Nominations try for, it was something of a relief to campaign Committee Chair for a job absolutely no one else wants! I intend to Patrick Doreian, University of Pittsburgh do either one or two issues a year. This is the [email protected] issue for 2002-2003, covering approximately Secretary/Treasurer – 2005 April 2002 through April 2003. Dave McFarland Lisa Troyer, (UCLA - [email protected]) [email protected] has agreed to post newsletters and other information on a Section web page. Council 2003 The Section has been very active, as Kenneth C. Land, Duke University shown in the minutes of the Business Meeting, [email protected] prepared by 2002 Secretary-Treasurer Joe Whitmeyer, (see below). Other activities of the Jane Sell, Texas A&M University Section during the past year and some with ASA [email protected] coming up are also described below. Section Chair Noah Friedkin has written Council - 2004 an interesting comment on the Current State of Diane H. Felmlee, Mathematical Sociology; I think most of us University of California-Davis would agree wholeheartedly with his remarks. It [email protected] is interesting to me that I had also received a thoughtful letter from Tom Fararo (one of the Murray Webster, Jr. Section founders, and a former Section Chair) University of North Carolina, Charlotte suggesting an editorial on similar lines but with a [email protected] different perspective. He wonders if Mathematical Sociology has ‘Disappeared’; for Council 2005 example, in the new edition of The International Bob Hanneman Encyclopedia of the Behavioral and Social University of California, Riverside Sciences, published by Elsevier, there is neither an entry for "mathematical sociology," nor for [email protected] "mathematical models in sociology." (There is

however an entry for “mathematical sociology” Noah P. Mark in the newest Encyclopedia of Sociology, edited by E. F. Borgatta and R. J. V. Montgomery, [email protected] MacMillan, 2000). The fact that mathematical sociology requires both mathematical expertise Student Representative and thorough knowledge of a substantive area, Jun Kobayashi along with the existence of disciplinary University of Chicago disagreements about what constitutes ‘theory’ [email protected] make it difficult to place our work so that others are aware of it. If I make a contribution to the study of discussion groups using a formal theory translated into a , do I send it to a journal or conference on group processes, on

1 mathematical sociology, or on sociological to attract more mathematically-oriented theory (or even possibly on mathematical undergraduates into the graduate training biology, since many of the models are similar)? programs of sociology, and we need to build It seems to me that one use of this vibrant graduate programs in mathematical newsletter can be to communicate to each other sociology that are aimed at training a new what we are doing. I have included the programs generation of theorists who work in particular of several conferences, a table of contents of the substantive fields of sociology. Journal of Mathematical Sociology, and several We should react strongly to attempts to other references to recent publications that use label us as “methodologists” whose work does mathematical models to address substantive not bear centrally on or as issues. I would encourage all Section members “narrow” because the mathematical models that to send me references to their own papers, and we employ are not readily accessible to many also to Web pages if you have them. sociologists. I have found many of the non- I also encourage you to send comments mathematical theories that are currently on these (or other) issues of general concern to prominent in sociology entirely impenetrable. the Section. After years of picking up and laying down theory And, of course, we need more books and listening to, but not understanding, members; please renew your membership, and conference presentations in theory sessions, I’ve encourage colleagues and students to join. There come to accept the idea that the progress of are instructions for joining at the end of the science in sociology cannot be taken for granted, newsletter. □ that it will not advance by itself, and that we must actively promote it not only through our Comments From the Section Chair publications, but also through organizational Noah Friedkin efforts to build programs within our academic departments for graduate students who are The Current State of Mathematical Sociology committed, as we are, to a vision of an edifice of This is an exciting period for sociological theory that is built on mathematical mathematical sociology. Physicists have become foundations. We cannot wait for the discipline to interested in phenomena. embrace our endeavors. We must “do our thing” Business schools are hiring sociologists to against resistance if need be, because it is develop formal models applicable to economic important and worth doing well. □ phenomena. National security concerns have drawn mathematical sociologists into the war on Plan Ahead for Atlanta terrorism. Devastating epidemics have brought ASA will meet in Atlanta, August 16 to the recognition that the simplifying assumptions 19, 2003. Mathematical sociology Section day is of classic contagion models must be refined by Saturday, August 16. The reception will be attending to the in which 6:30-8:15 p.m. on that day. We have been contagion occurs. The globalization of economic allocated one paper session, according to the and political organizations calls for the current ASA formula for Section sessions (this is development of formal models of extremely because we have 300 or fewer members). □ large social systems. Rapid advances are being . made in the formalization of social processes in Please Vote! various fields of sociology, including social The slate of officers for the MathSoc exchange, interpersonal influence, emotion, Section for 2003 is: rational choice, social organization, collective For Chair-Elect behavior, social movements, and culture. Kenneth C. Land Never before has there been a more Kazuo Yamaguchi pressing demand for sociologists who combine For Council Member strong mathematical skills with deep substantive William Shelly grounding in particular fields. Mathematical James Montgomery models of sociological phenomena are unlikely James Moody to make an enduring contribution if they are not For Council, Student Member informed by the refined substantive sensibility Kayo Fujimoto that usually comes from systematic reading in Ju-Sing Lee sociology and intense involvement with data. There are not enough of us. Somehow we need

2 You can find biographical information about graduate student prize. It was agreed that the them on the ASA Web page www.asanet.org. career should be named, perhaps with a (You need to have information from your paper combination of names. Possible names raised ballot from ASA to enter this page.) Thanks to were Coleman, White, Fararo, and Kemeny. It all of the candidates for their willingness to run, was agreed that the incoming chair, Noah and congratulations on being recognized as Friedkin, will collect suggested names emailed valuable Section members. Votes must be in by to him and will email people asking for May 30.□ suggestions. The section then will vote on the name by email. Section Committees for 2003 Outstanding Book and Article Publication 3. Second and third joint Japan-U.S. Award: Mathematical Sociology conferences. Chair: Jane Sell Gene Johnsen reported on the second joint Dave Heise conference between the section and the Japanese Bob Hanneman Association for Mathematical Sociology. It was held in Vancouver in June, 2002, and was Jun Kobayashi attended by 33 participants plus spouses. It was A Non-Council Member a "very positive experience for the participants." (Selected by Jane Sell) Financially, the conference at least broke even. Graduate Student Paper Award: Financial management was greatly facilitated by Chair: Ken Land Phoebe Stevenson of the ASA who arranged a Noah Mark special funds account under the section. The Murray Webster section council also had given a guarantee for up Diane Felmlee to $500 for costs. Organizers of the conference A Non-Council Member were Gene Johnsen and Noah Friedkin on the (Selected by Ken Land) U.S. side, and Yoshinori Sato and Yuriko Saito Nominations Committee on the Japanese side. Chair: Pat Doreian Planning for the third joint conference Members: All Council Members is well under way. This one will be held in Program Committee Sapporo, Hokkaido, Japan in July, 2004. The Chair: Noah Friedkin Japanese co-organizer is Toshio Yamagishi, Members: All Council Members □ professor at Hokkaido University. American co- organizers are needed within a month. Herm Minutes of the 2002 Business Smith and Phil Bonacich (neither present) were Meeting of the Mathematical suggested as good possibilities; Noah Friedkin said he would contact them. Gene Johnsen said Sociology Section Murray Webster (not present) had said he would Joseph Whitmeyer, Section Secretary-Treasurer be swilling to assist in preparation of an NSF The business meeting of the proposal for supporting graduate student mathematical sociology section of the American attendance, as had been obtained for the first Sociological Association was held Saturday, conference in Hawaii. Geoff Tootell noted there August 19, 2002 from 11:30 to 12:20 in the might be a conflict with the Krakow group Hilton Washington. The meeting was presided process conference, scheduled for early July, over by section chair Patrick Doreian. Twenty- 2004. nine section members were present. (This makes Patrick Doreian, also editor of JMS, a quorem by ASA rules). discussed how JMS could treat papers for the joint conferences. They could form one or more 1. Election results special issues or they could simply appear in the The chair presented results of the journal. The Hawaii Mathematical Sociology elections. David Heise is the chair-elect. conference papers have just been published. While they did not appear as special issues as 2. Section awards. such, they did comprise two full issues with The first ever career award was made to acknowledgments to the conference and (in absentia) at the reception the conference organizers. previous evening (8/18/02). Andrew Noymer received the open paper prize as well as the 4. Website and Newsletter.

3 Patrick Doreian reported that in the The section ended May, 2002 with council meeting Noah Friedkin, the incoming $1,932. About $300 was disbursed for the chair, had volunteered to helped coordinate the reception. This left about $1600. website (but he did not want to be call "webmaster"). Barbara Meeker volunteered to 8. Other conferences. be the new newsletter editor, for one or two David Willer noted that the Rationality issues. Concerning the website, a motion was and section would be holding a mini- passed that Barbara Meeker and Dave conference the following year. Those interested McFarland should check out the ASA section should contact the Siegwart Lindenberg. Also website to decide whether to post the newsletter the University of South Carolina together with there and otherwise use that website for the Emory was organizing the 2003 group processes section, or simply to link from that website to the conference. Those interested should contact actual section website elsewhere. him. There is also a possibility that the Math Sociology section could co-sponsor either of 5. Section membership issues. those conferences. Geoffrey Tootell suggested that we and Rationality and Society members cross-register, 9. New chair. since the overlap is only about 70 members. He said the incoming chair of that section, Noah Friedkin became the new chair. □ Lindenberg, is not that favorable to the idea, but the chair-elect, Scott Feld, probably would be An additional Note on Planning for more receptive. Gene Johnsen suggested using the Next Joint Japan-North joint receptions--with perhaps Rationality and Society, Theory, or Methodology--to recruit new America Conference on members. There was general agreement that the Mathematical Sociology much cheaper subscription rate for section The dates are June 26 (Sat) -28 (Mon), members for the Journal of Mathematical 2004 in Sapporo, Japan. However, the status of Sociology should be strongly emphasized in this conference is currently being debated by the recruitment. The rate is $63 for section members organizers in light of the SARS epidemic. They compared to an individual membership of over will let the section know as soon as possible $300 otherwise. Patrick Doreian said he would about whether the conference will be held as suggest that Taylor and Francis, the publisher, scheduled. □ take out an ad in Footnotes giving the discount rates for section members. The Second Joint Japan-North 6. Journal of Mathematical Sociology America Conference on Patrick Doreian, the editor, noted that there is no possibility of the journal affiliating Mathematical Sociology officially with the section. However, the new One of the special activities of the publishers, Taylor and Francis, are very good. Section in 2002 was this conference, which was They are responsive by providing feedback and held in the beautiful city of Vancouver, BC. support. They are willing to go to conferences1. It was sponsored by the Mathematical Sociology They will not lower their institutional rate for section of the American Sociological Association libraries; however, it may be possible to and the Japanese Association for Mathematical persuade them to add JMS for a smaller rate at Sociology and took place May 31- June 2, 2002 libraries they already provide with journals. at the Coast Plaza Suite Hotel at Stanley Park Also, libraries may be willing to add JMS now Vancouver, BC, Canada. that it is no longer a Gordon and Breach Conference Co-organizers: publication. Many libraries had refused to deal Eugene Johnsen, University of California Santa with Gordon and Breach. Barbara USA Noah Friedkin, University of California, Santa 7. Budget. Barbara USA Yuriko Saito, Nara Women’s University, Japan

1 Yoshimichi Sato, Tohoku University, Japan They came to this year’s conference and a The conference organizers expressed their thanks managing editor attended both the section’s and appreciation to Phoebe Stevenson, Deputy reception and the business meeting.

4 Executive Officer of the American Sociological Kono**, *University of California and Association, and Bill Richards, Simon Fraser **Chuo University. University, for their valuable assistance. 2. Evolution Model of Agriculture Strategy: Program Dilemma Avoidance by Non-Random Session I: Network Analysis I – Model, Hirokuni Oura, Teikyo University. Networks (Chair: Noah E. Friedkin) 3. Realizing Cooperation through Slightly 1. Influence Networks in School Board Policy Altruistic Individuals: An Evolutionary Groups: An Analysis of Resource Allocation Game Theoretical Approach, Masayoshi Preferences, Noah E. Friedkin, University of Muto, the Graduate School of Tokyo California. Institute of Technology. 2. A Social Choice Approach to the Problem of Session VI: New Approaches to Classical Order: Evolution of Social Influence Sociological Theories (Chair: Yoshimichi Sato) Networks in Opinion Aggregation, Jun 1. On the Complementarity of Expectations: Kobayashi, University of Chicago, ICS, Coupling Parsons with Balance Theory, Utrecht University. Kazuto Misumi, Kyushu University. 3. Social Excitement and Social Influence 2. Symmetry of Positive and Negative Network Theory, James F. Hollander, Texas Sentiments: A Nasty Corollary to the Rotten Instruments Incorporated. Kid Theorem, John Bramsen. Session II: Analysis of Power (Chair: Scott Feld) 3. A Micro-Macro Linkage from Protestantism 1. Making Weighted Voting Rules Work: to Capitalism in Weber's Argument: Solving Using a Market Approach to Voting Power, Social Dilemmas by Value-Rational * Scott L. Feld and Bernard Grofman, Preference, Tatsuhiro Shichijo and Jun Kobayashi**, *Osaka Prefecture University Louisiana State University. ** 2. Independency of Political Power from and University of Chicago, ICS, Utrecht Legitimacy: An analysis with incomplete University. information games, Naoki Sudo, Gakushuin Session VII: Group Processes (Chair: Barbara F. University. Meeker) 3. Power in Non-negotiated Exchange 1. Some Non-linear Dynamics of Group Networks, Phillip Bonacich, University of Dynamics, Barbara F. Meeker, University California. of Maryland. Session III: Family and Population (Chair: To be 2. Steps to Extend the Range of Status announced) Characteristics Theory to Cover Large 1. Level and Pattern of Infant and Child Collectivities and Imperfectly Shared Information, Geoffrey Tootell*, Alison Mortality in the Indian Subcontinent, ** *** * Surendar Yadava, University of Northern Bianchi and Paul T. Munroe , San Jose State University, **University of Notre Iowa. ** 2. Women's Status, Age at Menopause, and Dame and * Towson University. Family Health in India, Surendar Yadava, 3. Which is adaptive, self-enhancement or self- effacement? : A mathematical model of self- University of Northern Iowa. * presentation, Motoko Harihara and Ryuhei 3. Two Patterns of Wife Influence on Farm ** *, ** Innovation in a Midwestern Dairy State, Tsuji , The University of Tokyo. Martha Ross DeWitt, Medical College of Session VIII: Network Analysis II – Applied Wisconsin. Methodology (Chair: Yoosik Youm) Session IV: Inequality and Justice (Chair: Yuriko 1. Sexual Market and its Effects on Marriage Saito) Market in US: A Game Theoretic Approach 1. Justice, Status, and Social Distance, with Network Embeddedness, Yoosik Youm, Guillermina Jasso, . University of Illinois at Chicago. 2. Effect of Inequality on : An Agent- 2. Estimating Acquaintanceship Volume in based Model of Mutual Trust, Yoshimichi Japan and US, Ryuhei Tsuji, The University Sato, Tohoku University. of Tokyo. Session V: Rationality and Society (Chair: Session IX: Organizational Analysis (Chair: Jar- Masaki Tomochi) Der Luo) 1. How Small Groups Form in an 1. A Consumer-Based Model of Competitive * Diffusion of Two Goods: The Effects of Organization? Luo, Jar-Der and Wang, Shu-Sen**, *Graduate School of Social Network Externalities and Local ** Interactions, Masaki Tomochi* and Mitsuo Informatics and Yuan-Ze University.

5 2. Applying Mathematical Sociology in Institutional Research in Higher Education: Section Session II: Mathematical Models of Population Multivariate Processes in a Social Network Structure/Process Structured Environment, Gordon J. Burt, Organizer and Presider: Noah E. Friedkin, Open University. University Of California, Santa Barbara 3. Forgotten Rules: The Duration Dependence of Organizational Rule Revisions and A Note On Structural Holes Theory And Niche Suspensions, Martin Schulz, University of Overlap, Jeroen Bruggeman, Gianluca British Columbia. Carnabuci, and Ivar Vermeulen, University Of Session X: Inequality and Education (Chair: Amsterdam, The Netherlands John Angle) 1. A Theory of the Gamma Snap and its Taking Turns and Talking Ties: Network Symmetrically Reversed Dynamic in the Structure and Conversational Sequences. David Right Tail of the U.S. Nonmetro R. Gibson, Harvard University Distribution of Wage and Salary Income, John Angle. Evolution of Social Influence Networks in 2. Why Class Differential in Educational Opinion Aggregation: A Social Choice Attainment hasn't been changed? : A Approach to the Problem of Order. Jun Rational Choice Approach, Hiroshi Kobayashi, University Of Chicago Tarohmaru, Kyoto Koka Women's University. □ Latent Space Approaches to . Adrian Reftery, University Of Washington Mathematical Sociology Presentations at ASA 2002. Discussion: Eugene C. Johnsen, University of The Mathematical Sociology Section California, Santa Barbara sponsored two paper sessions at ASA in Chicago, August 2002. And, also at ASA, there Regular Paper Session: Mathematical was one regular paper session on Mathematical Sociology Theory Sociology. Organizer: Scott L. Feld, Louisiana State University Section Session I: Mathematical Models of Presider: Carter T. Butts, University of Dynamical Social Systems California, Irvine Organizer and Presider: Patrick Doreian, University Of Pittsburgh Reward Expectations and Allocative Behaviors: A Mathematical Model. M. Hamit Fisek, Predicting Network Emergence in Dynamic Bogazici University (Turkey) David Wagner, Exchange Networks. Casey Adam Borch, State University of New York, Albany Charles Dudley Girard and David Willer, University Of South Carolina Mapping the Exact Relations between Inequality and Justice. Guillermina Jasso, New York Creating the Thin Blue Line: Evolution of Social University Networks in a Police Academy. Norman Conti, University Of West Virginia; Patrick Doreian, Social Order in Large Networks: An Application University Of Pittsburgh of Watts’ Small World Simulation. Ryuhei Tsuji, University of Tokyo (Japan) On The Relationship between Population Ecology and the Economic Theory of Industrial Discussion: Carter T. Butts, University of Organization. Fabio G. Rojas, University Of California, Irvine □ Chicago

Structural Change and Homeostasis in Organizations: A Decision Theoretic Approach. Carter T. Butts, University of California, Irvine; Kathleen M. Carley, Carnegie Mellon University

6 A Deductive Approach to Friendship Networks Announcements Joseph M Whitmeyer. Pp. 147 - 165 Kathleen Carley, Carnegie Mellon University [email protected] announces the The Nonlinear and Scaled Growth of the following Section related activities Ottoman and Roman Empires Güngör Gündüz Pp. 167 - 187 CASOS summer institute in computational and network analysis: June 16-21, see The Rational Weakness of Strong Ties: Failure www.casos.ece.cmu.edu for more information. of Group Solidarity in a Highly Cohesive Group of Rational Agents Andreas Flache Pp. 189 - 216 NAACSOS conference in computational social and organizational science: June 22-25, see Volume 26, Number 4/October-December 2002 www.casos.ece.cmu.edu for more information. □ The Statistical Signature of Pervasive Competition on Wage and Salary Incomes John Angle Pp. 217 - 270 Recent Publications in Mathematical Sociology The Emergence of Deontological Codes in Journal of Mathematical Sociology Public Administration Angelo Antoci, Pier Luigi Publisher: Taylor & Francis Sacco Pp. 271 - 307 Volume 26, Numbers 1-2/January-June 2002 (part II of papers from the first Japan-North Further Algebraic Results in the Theory of American Conference on Mathematical Balance John Bramsen Pp. 309 - 319 Sociology, June 2000) Volume 27, Number 1/January-March 2003 Trust, Assurance, and Inequality: A Rational Nonlinear Continuous-Discrete Filtering Using Choice Model of Mutual Trust Yoshimichi Sato Kernel Density Estimates and Functional Pp. 1 - 16 Integrals Hermann Singer Pp. 1 - 28

Interpersonal Influence and Attitude Change A Model for Predicting toward Conformity in Small Groups: A Social Public Opinions and Behaviors from Persuasive Psychological Model Ryuhei Tsuji Pp. 17 - 34 Information: Application to the Index of Consumer Sentiment David P. Fan, R. Dennis A Non-Stationary Model of Cook Pp. 29 - 51 Completed Marital Fertility in Japan Shuuichirou Ike Pp. 35 - 55 Historical Evolution and Mathematical Models: A Sociocultural Jürgen Klüver, Jörn Properties of Learning Models in Collective Schmidt Pp. 53 - 83 □ Action: Rationality of Backward-Looking Players Tatsuhiro Shichijo, Yasuto Nakano Pp. 57 - 69 Other Mathematical Sociology Publications

Michael Faia, at College of William and The Dynamics of Japanese and American Mary, sent the following references (thanks, Interpersonal Events: Behavioral Settings versus Michael). I urge other Section members to let Personality Traits Herman W. Smith Pp. 71 - 92 the Newsletter know when and where they have

MathSoc publications. System Catastrophe: A Distributive Model for “ ‘Three Can Keep A Secret if Two Are Collective Phenomenon Fu Chang, Jar-Der Luo Dead’ (Lavigne, 1996): Weak Ties As Pp. 93 - 109 Infiltration Routes. Michael A. Faia, Quality

&Quantity 34:193-216, 2000 A Boolean Model of Role Discrimination Kazuto “Differential Equation Modeling as a Misumi Pp 111 - 121 Source of Theoretical Insight: Four Disparate

Examples” Michael A. Faia, Quality & Quantity, Volume 26, Number 3/July-September 2002 36:169-195, 2002 Some Algebraic Structures for Diffusion in Also, mathematical sociologists will be Social Networks John Levi Martin Pp. 123 - 146 interested in many of the chapters in two recent

books:

7 The Growth of Social Knowledge: New Directions in Contemporary Theory, Simulation, and Empirical Research in Sociological Theory, Edited by Joseph Berger Group Processes Edited by Jacek Szmatka, and Morris Zelditch, Jr. Lanham, MD, Rowman Michael Lovaglia, and Kinga Wysienska. & Littlefield, 2002. □ Westport, Conn.: Praeger, 2002.

Please encourage your colleagues and students to join the Mathematical Sociology Section. ======To join the Section, you must be a member of ASA. Print this application, fill it out, and send to ASA. Or, see the ASA Section membership web page; http://www.asanet.org/forms/sectionform.html (we are Section # 37)

Application for Membership in the ASA Mathematical Sociology Section

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____ I am an ASA member and want to join the Mathematical Sociology Section. Enclosed is a check for $10.00 for section Dues ($5.00 for students). Make checks payable to the American Sociological Association.

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Mail to: American Sociological Association 1307 New York Avenue, NW Suite 700 Washington, DC 20005

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