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Original Articles

A stability theorem for an interactive Markov chainFootnote*

Pages 163-168 | Published online: 26 Aug 2010

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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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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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ManjushaS. Kulkarni & Arvind Kumar. (1986) A mathematical model of progressive literacy. The Journal of Mathematical Sociology 12:3, pages 275-298.
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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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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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ShelbyL. Brumelle & Yigal Gerchak. (1980) A stochastic model allowing interaction among individuals and its behavior for large populations. The Journal of Mathematical Sociology 7:1, pages 73-90.
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Articles from other publishers (14)

Michel Grabisch & Agnieszka Rusinowska. (2011) A model of influence with a continuum of actions. Journal of Mathematical Economics 47:4-5, pages 576-587.
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Cees H. Elzinga, Adriaan W. Hoogendoorn & Wil Dijkstra. (2016) Linked Markov Sources. Sociological Methods & Research 36:1, pages 26-47.
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Jehoshua Eliashberg, Jedid-Jah Jonker, Mohanbir S. Sawhney & Berend Wierenga. (2000) MOVIEMOD: An Implementable Decision-Support System for Prerelease Market Evaluation of Motion Pictures. Marketing Science 19:3, pages 226-243.
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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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Herbert Dawid. (1997) Learning of equilibria by a population with minimal information. Journal of Economic Behavior & Organization 32:1, pages 1-18.
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Bai-Lian Li. (1995) Stability analysis of a nonhomogeneous Markovian landscape model. Ecological Modelling 82:3, pages 247-256.
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Ioannis I. Gerontidis. (2016) On certain aspects of non-homogeneous Markov systems in continuous time. Journal of Applied Probability 27:3, pages 530-544.
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Ioannis I. Gerontidis. (2016) On certain aspects of non-homogeneous Markov systems in continuous time. Journal of Applied Probability 27:03, pages 530-544.
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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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P.-C. G. Vassiliou. (2016) Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems. Journal of Applied Probability 21:2, pages 315-325.
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P.-C. G. Vassiliou. (2016) Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems. Journal of Applied Probability 21:02, pages 315-325.
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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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