Kaizoji, Taisei (2012): A Note on Stability of SelfConsistent Equilibrium in an Asynchronous Model of DiscreteChoice 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 selfconsistent equilibrium. To this aim, we propose an asynchronous model of discretechoice with social interaction2 , in which the only individual selected cyclically is updated.
Item Type:  MPRA Paper 

Original Title:  A Note on Stability of SelfConsistent Equilibrium in an Asynchronous Model of DiscreteChoice with Social Interaction 
Language:  English 
Keywords:  binary choice, social interactions, stability of selfconsistent equilibrium, asynchronous model 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > 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 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:  19. Feb 2013 11:07 
References:  Brock, W. and S. Durlauf, 1999, “A Formal Model of Theory Choice in Science,” Economic Theory 14, pp.113130 . Brock, W., and S. Durlauf, 2001a, “Discrete Choice with Social Interactions,” Review of Economic Studies, 68, 2, pp.235260. Brock, W. and Durlauf, S., 2001b, “InteractionsBased Models,” in Handbook of Econometrics, Vol. 5, Chapter 54, pp. 32973380, 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. 175206, edited by L.E. Blume and S.N. Durlauf, The Oxford University Press, Inc., New York NY. Fleisher, M., 1988, “The Hopfield model with multilevel neurons”, In D. Z. Anderson (Ed.), Neural Information Processing Systems, Denver, CO, pp. 278289, 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. 15311540. McFadden, D. 1984, "Econometric Analysis of Qualitative Response Models," in Z. Griliches and M. Intriligator (eds.), Handbook of Econometrics: Volume II (Amsterdam: NorthHolland). Peterson, C. and Anderson, J. R., 1987, “A mean field theory learning algorithm for neural networks,” Complex Systems, Vol. 1, pp. 9951019. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/38730 