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Original Articles

Approximations for interactive Markov chains in discrete and continuous time

Pages 139-157 | 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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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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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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Andre de Palma & Claude Lefevre. (1983) Individual decision‐making in dynamic collective systems. The Journal of Mathematical Sociology 9:2, pages 103-124.
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Lynne Billard. 2015. International Encyclopedia of the Social & Behavioral Sciences. International Encyclopedia of the Social & Behavioral Sciences 576 583 .
Xuan DiHenry X. LiuGary A. Davis. (2010) Hybrid Extended Kalman Filtering Approach for Traffic Density Estimation along Signalized Arterials. Transportation Research Record: Journal of the Transportation Research Board 2188:1, pages 165-173.
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Chang-Jen Lan. (2001) Adaptive turning flow estimation based on incomplete detector information for advanced traffic management. Adaptive turning flow estimation based on incomplete detector information for advanced traffic management.
L. Billard. 2001. International Encyclopedia of the Social & Behavioral Sciences. International Encyclopedia of the Social & Behavioral Sciences 9242 9250 .
Chang-Jen Lan & Gary A. Davis. (1999) Real-time estimation of turning movement proportions from partial counts on urban networks. Transportation Research Part C: Emerging Technologies 7:5, pages 305-327.
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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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Chang-Jen Lan & Gary A. Davis. (1997) Empirical Assessment of a Markovian Traffic Flow Model. Transportation Research Record: Journal of the Transportation Research Board 1591:1, pages 31-37.
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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) Markov population replacement processes. Advances in Applied Probability 27:3, pages 711-740.
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William P. Anderson & Yorgos Y. Papageorgiou. (2010) An Analysis of Migration Streams for the Canadian Regional System, 1952–1983: 2. Disequilibrium. Geographical Analysis 26:2, pages 110-123.
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Jan Rouwendal. (1990) Existence and uniqueness of stochastic price equilibria in heterogeneous markets. Regional Science and Urban Economics 20:1, pages 43-64.
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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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Charles J. Lumsden. (1988) Gene-culture coevolution: A test of the steady-state hypothesis for gene-culture translation. Journal of Theoretical Biology 130:4, pages 391-406.
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M.-P. Malice & C. Lefevre. 1985. Mathematics in Biology and Medicine. Mathematics in Biology and Medicine 164 170 .
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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Charles J. Lumsden. 1983. Recent Advances in Cognitive-Developmental Theory. Recent Advances in Cognitive-Developmental Theory 123 166 .
Samuel GoldbergSamuel Goldberg. 1983. Probability in Social Science. Probability in Social Science 79 96 .

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