An infinite stochastic model of social network formation

Stochastic Processes and their Applications

Volumn 113, Issue 1, 2004, Pages 65-80

  Liggett, Thomas M ^a   Rolles, Silke W W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Interacting particle system; Invariant measures; Network formation

Indexed keywords

EID: 4243173623     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.03.011     Document Type: Article

References (7)

1. Bonacich P. Liggett T.M. Asymptotics of a matrix valued Markov chain arising in sociology Stochastic Process. Appl. 104 1 2003 155-171
2. Durrett R. Probability: Theory and Examples 2nd Edition 1996 Duxbury Press Belmont, CA
3. Liggett T.M. 1985. Interacting Particle Systems. Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences), Vol. 276. Springer, New York
4. Pemantle R. Skyrms B. 2003. Network formation by reinforcement learning: the long and medium run. Preprint
5. Pemantle R. Skyrms B. Time to absorption in discounted reinforcement models Stochastic Process. Appl. 109 2004 1-12
6. Skorokhod A.V. Studies in the Theory of Random Processes 1965 Addison-Wesley Reading, MA (Translated from the Russian by Scripta Technica, Inc.)
7. Skyrms B. Pemantle R. A dynamic model of social network formation Proc. Nat. Acad. Sci. 97 2000 9340-9346