Kaizoji, Taisei (2012): A Note on Stability of Self-Consistent Equilibrium in an Asynchronous Model of Discrete-Choice with Social Interaction.
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Abstract
The aim of this paper is to demonstrate that dynamic paths in a model of discrete choice with social interactions, which have been developed by Brock and Durlauf (1999, 2001a, 2001b, 2006), converge some self-consistent equilibrium. To this aim, we propose an asynchronous model of discrete-choice with social interaction2 , in which the only individual selected cyclically is updated.
Item Type: | MPRA Paper |
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Original Title: | A Note on Stability of Self-Consistent Equilibrium in an Asynchronous Model of Discrete-Choice with Social Interaction |
Language: | English |
Keywords: | binary choice, social interactions, stability of self-consistent equilibrium, asynchronous model |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C44 - Operations Research ; Statistical Decision Theory C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C45 - Neural Networks and Related Topics C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C25 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions ; Probabilities D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D85 - Network Formation and Analysis: Theory |
Item ID: | 38730 |
Depositing User: | Taisei KAIZOJI |
Date Deposited: | 22 Aug 2012 14:04 |
Last Modified: | 18 Oct 2019 06:54 |
References: | Brock, W. and S. Durlauf, 1999, “A Formal Model of Theory Choice in Science,” Economic Theory 14, pp.113-130 . Brock, W., and S. Durlauf, 2001a, “Discrete Choice with Social Interactions,” Review of Economic Studies, 68, 2, pp.235-260. Brock, W. and Durlauf, S., 2001b, “Interactions-Based Models,” in Handbook of Econometrics, Vol. 5, Chapter 54, pp. 3297-3380, Edited by J.J. Heckman and E. Leamer, Elsevier Science B.V. Brock, W. and S. Durlauf, 2006, “Multinomial choice model with social interactions,” The Economy as an Evolving Complex System, III, pp. 175-206, edited by L.E. Blume and S.N. Durlauf, The Oxford University Press, Inc., New York NY. Fleisher, M., 1988, “The Hopfield model with multi-level neurons”, In D. Z. Anderson (Ed.), Neural Information Processing Systems, Denver, CO, pp. 278-289, American Institute of Physics: New York. Kurita, N. and Funahashi, K., 1996, “On the Hopfield neural networks and mean field theory,” Neural Networks, Vol. 9, no. 9, pp. 1531-1540. McFadden, D. 1984, "Econometric Analysis of Qualitative Response Models," in Z. Griliches and M. Intriligator (eds.), Handbook of Econometrics: Volume II (Amsterdam: North-Holland). Peterson, C. and Anderson, J. R., 1987, “A mean field theory learning algorithm for neural networks,” Complex Systems, Vol. 1, pp. 995-1019. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/38730 |