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Dynamic interaction models of economic equilibrium

  • Igor Evstigneev
  • Michael Taksar

The paper develops a stochastic dynamic model of economic equilibrium with locally interacting agents. The main focus of the study is on the modeling of market interactions - those arising in connection with commodity exchange and regulated by price mechanisms. The mathematical framework is a control theory for random vector fields on directed graphs. The graphs involved serve to describe the spatio-temporal structure of commodity flows in the system. The main results are concerned with the existence, uniqueness and stability of stochastic dynamic equilibria.

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File URL: http://www.socialsciences.manchester.ac.uk/medialibrary/economics/discussionpapers/EDP-0623.pdf
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Paper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0623.

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Date of creation: 2006
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Handle: RePEc:man:sespap:0623
Contact details of provider: Postal: Manchester M13 9PL
Phone: (0)161 275 4868
Fax: (0)161 275 4812
Web page: http://www.socialsciences.manchester.ac.uk/subjects/economics/

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  1. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 459-502, March.
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  8. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
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  11. Brock, William A & Mirman, Leonard J, 1973. "Optimal Economic Growth and Uncertainty: The No Discounting Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 560-73, October.
  12. Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 143-165, January.
  13. Yannis M. Ioannides, 2004. "Topologies Of Social Interactions," Econometric Society 2004 North American Winter Meetings 287, Econometric Society.
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  17. Hardle, Wolfgang & Hildenbrand, Werner & Jerison, Michael, 1991. "Empirical Evidence on the Law of Demand," Econometrica, Econometric Society, vol. 59(6), pages 1525-49, November.
  18. Evstigneev,Igor & Taksar,Michael, 1992. "Stochastic equilibria on graphs,I," Discussion Paper Serie A 391, University of Bonn, Germany.
  19. Radner, Roy, 1973. "Optimal stationary consumption with stochastic production and resources," Journal of Economic Theory, Elsevier, vol. 6(1), pages 68-90, February.
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  24. Amir, Rabah & Evstigneev, Igor, 1999. "Stochastic Version Of Polterovich'S Model: Exponential Turnpike Theorems For Equilibrium Paths," Macroeconomic Dynamics, Cambridge University Press, vol. 3(02), pages 149-166, June.
  25. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
  26. Evstigneev,Igor & Vyatscheslavovitsch Greenwood & Priscilla Edson, 1992. "Markov fields over countable partially ordered sets: Extrema and splitting," Discussion Paper Serie A 371, University of Bonn, Germany.
  27. Majumdar, Mukul & Zilcha, Itzhak, 1987. "Optimal growth in a stochastic environment: Some sensitivity and turnpike results," Journal of Economic Theory, Elsevier, vol. 43(1), pages 116-133, October.
  28. Weisbuch, Gerard & Kirman, Alan & Herreiner, Dorothea, 2000. "Market Organisation and Trading Relationships," Economic Journal, Royal Economic Society, vol. 110(463), pages 411-36, April.
  29. Follmer, Hans, 1974. "Random economies with many interacting agents," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 51-62, March.
  30. Krengel, Ulrich & Sucheston, Louis, 1981. "Stopping rules and tactics for processes indexed by a directed set," Journal of Multivariate Analysis, Elsevier, vol. 11(2), pages 199-229, June.
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