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The Journal of Mathematical Sociology Volume 7, 1980 - Issue 1
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Original Articles

A stochastic model allowing interaction among individuals and its behavior for large populations

Shelby L. Brumelle Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, B.C., Canada, V6T 1W5
&
Yigal Gerchak Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, B.C., Canada, V6T 1W5; Concordia University, Loyola Campus, Montreal, Quebec, H4B 1R6
Pages 73-90 | Published online: 26 Aug 2010

Citations (22)

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Read on this site (10)

G.R. Barnes, P.B. Cerrito & I. Levi. (2001) Weighted interaction semigroups. The Journal of Mathematical Sociology 25:2, pages 139-161.
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John Conlisk, Jyh‐Chyi Gong & ChingH. Tong. (2000) Dynamics of imitation. The Journal of Mathematical Sociology 24:2, pages 97-128.
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Wolfgang Stadje. (2000) Asymptotic properties of interactive markov chains. Communications in Statistics. Stochastic Models 16:3-4, pages 377-389.
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John Conlisk. (1992) Stability and monotonicity for interactive Markov chains. The Journal of Mathematical Sociology 17:2-3, pages 127-143.
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ManjushaS. Kulkarni & Arvind Kumar. (1989) Interactive markovian models of ‘progressive’ trends. The Journal of Mathematical Sociology 14:1, pages 45-65.
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D. J. Bartholomew. (1985) Interactive, threshold and non‐linear models for social systems. The Journal of Mathematical Sociology 11:1, pages 43-45.
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Jean‐François Ingenbleek & Claude Lefevre. (1985) A discrete time model of interactive diffusion. The Journal of Mathematical Sociology 11:1, pages 25-42.
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Yigal Gerchak. (1983) On interactive chains with finite populations. The Journal of Mathematical Sociology 9:3, pages 255-258.
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Beth Allen. (1982) A stochastic interactive model for the diffusion of information. The Journal of Mathematical Sociology 8:2, pages 265-281.
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JohnP. Lehoczky. (1980) Approximations for interactive Markov chains in discrete and continuous time. The Journal of Mathematical Sociology 7:2, pages 139-157.
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Articles from other publishers (12)

Tony E. Smith & Sangyoung Song. (2010) A Spatial Mixture Model of Innovation Diffusion. Geographical Analysis 36:2, pages 119-145.
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Tony E. Smith & Yves Zenou. (2003) A discrete-time stochastic model of job matching. Review of Economic Dynamics 6:1, pages 54-79.
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Ian Domowitz & Mahmoud A. El-Gamal. (2001) A consistent nonparametric test of ergodicity for time series with applications. Journal of Econometrics 102:2, pages 365-398.
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George R. Barnes, Patricia B. Cerrito & Inessa Levi. (1998) A mathematical model for interpersonal relationships in social networks. Social Networks 20:2, pages 179-196.
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Wolfgang Stadje. (1997) Asymptotic behavior of some interactive population flow models. The Annals of Applied Probability 7:4.
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Patricia B. Cerrito. (2006) Statistical modelling of ecosystem structure. Environmetrics 3:2, pages 169-181.
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P.B. Cerrito. (1989) Density estimation applied to stochastic abundance models. Ecological Modelling 45:3, pages 221-236.
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P. B. Cerrito. (2016) An improved stochastic model allowing interaction among individuals. Journal of Applied Probability 25:3, pages 492-500.
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P. B. Cerrito. (2016) An improved stochastic model allowing interaction among individuals. Journal of Applied Probability 25:03, pages 492-500.
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D. J. Bartholomew. (2008) Recent developments in nonlinear stochastic modelling of social processes. Canadian Journal of Statistics 12:1, pages 39-52.
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Samuel GoldbergSamuel Goldberg. 1983. Probability in Social Science. Probability in Social Science 79 96 .
Ian H. Domowitz & Mahmoud A. El-Gamal. (1999) A Consistent Nonparametric Test of Ergodicity for Time Series with Applications. SSRN Electronic Journal.
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