A dynamic model of social network formation

被引:276
作者
Skyrms, B [1 ]
Pemantle, R
机构
[1] Univ Calif Irvine, Sch Social Sci, Irvine, CA 92607 USA
[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
关键词
D O I
10.1073/pnas.97.16.9340
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The game payoffs determine which interactions are reinforced, and the network structure emerges as a consequence of the dynamics of the agents' learning behavior. We study this in a variety of game-theoretic conditions and show that the behavior is complex and sometimes dissimilar to behavior in the absence of structural dynamics. We argue that modeling network structure as dynamic increases realism without rendering the problem of analysis intractable.
引用
收藏
页码:9340 / 9346
页数:7
相关论文
共 36 条
[1]  
ANDERLINI L, 1997, DYNAMICS NORMS, P87
[2]  
[Anonymous], 1947, AM MATH MON, DOI [DOI 10.1080/00029890.1947.11990189, DOI 10.2307/2304386]
[3]  
[Anonymous], 1977, URN MODELS THEIR APP
[4]   COMPETING TECHNOLOGIES, INCREASING RETURNS, AND LOCK-IN BY HISTORICAL EVENTS [J].
ARTHUR, WB .
ECONOMIC JOURNAL, 1989, 99 (394) :116-131
[5]   Dynamics of Morse-Smale urn processes [J].
Benaim, M ;
Hirsch, MW .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1995, 15 :1005-1030
[6]   THE STATISTICAL-MECHANICS OF STRATEGIC INTERACTION [J].
BLUME, LE .
GAMES AND ECONOMIC BEHAVIOR, 1993, 5 (03) :387-424
[7]   REINFORCED RANDOM-WALK [J].
DAVIS, B .
PROBABILITY THEORY AND RELATED FIELDS, 1990, 84 (02) :203-229
[8]  
DIACONIS P, 1991, ANN APPL PROBAB, V1, P39
[9]   THE IMPORTANCE OF BEING DISCRETE (AND SPATIAL) [J].
DURRETT, R ;
LEVIN, S .
THEORETICAL POPULATION BIOLOGY, 1994, 46 (03) :363-394
[10]  
Durrett R, 1996, PROBABILITY THEORY E