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General financial equilibrium with policy interventions: a variational inequality approach

  • Economic And Financial Equilibria
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Abstract

In this paper a model of general financial equilibrium with policy interventions is introduced, which yields the optimal composition of assets and liabilities in each sector's portfolio, as well as the market prices for each instrument. The policy interventions considered are taxes and price ceilings. The variational inequality formulation of the equilibrium conditions is derived and then utilized to establish existence and uniqueness properties of the solution pattern. An algorithm is proposed for the computation of the problem. Finally, the algorithm is applied to some special utility functions as numerical examples.

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References

  1. K.C. Border,Fixed Point Theorems with Applications to Economics and Game Theory (Cambridge University Press, United Kingdom, 1985).

    Google Scholar 

  2. J. Cohen, The flow of funds in theory and practice, in:Financial and Monetary Studies, vol. 15 (Kluwer Academic, Dordrecht, The Netherlands, 1987).

    Google Scholar 

  3. S. Dafermos, Exchange price equilibria and variational inequalities, Math. Prog. 46 (1990) 391.

    Google Scholar 

  4. S. Dafermos and A. Nagurney, Oligopolistic and competitive behavior of spatially separated markets, Reg. Sci. Urban Econ. 17 (1987) 245.

    Google Scholar 

  5. S. Dafermos and A. Nagurney, Sensitivity analysis for the general spatial economics equilibrium problem, Oper. Res. 32 (1984) 1069.

    Google Scholar 

  6. A. Eydeland and A. Nagurney, Progressive equilibration algorithms: the case of linear transaction costs, Comp. Sci. Econ. Manag. 2 (1989) 197.

    Google Scholar 

  7. M. Florian and M. Los, A new look at static spatial price equilibrium problems, Reg. Sci. Urban Econ. 12 (1982) 579.

    Google Scholar 

  8. D. Gabay and H. Moulin, On the uniqueness and stability of Nash equilibria in noncooperative games, in:Applied Stochastic Control of Econometric and Management Science, eds. A. Bensoussan, P. Kleindorfer and C.S. Tapiero (North-Holland, Amsterdam, The Netherlands, 1980).

    Google Scholar 

  9. G.M. Korpelevich, The extragradient method for finding saddle point and other problems, Matekon 12 (1976) 747–756.

    Google Scholar 

  10. A. Nagurney, Variational inequalities in the analysis and computation of multi-sector, multi-instrument financial equilibria, J. Econ. Dyn. Control, in press.

  11. A. Nagurney,Network Economics: A Variational Inequality Approach (Kluwer Academic, Dordrecht, The Netherlands, 1993).

    Google Scholar 

  12. A. Nagurney and J. Dong, Competitive financial equilibria in the presence of taxes and price controls, in:Computational Economics and Econometrics II, ed. D.A. Belsley (Kluwer Academic, Boston), to appear.

  13. A. Nagurney, J. Dong and M. Hughes, the formulation and computation of general financial equilibrium, Optimization 26 (1992) 339–354.

    Google Scholar 

  14. A. Nagurney and M. Hughes, Financial flow of funds networks, Networks 22 (1992) 145.

    Google Scholar 

  15. A. Nagurney and L. Zhao, A network equilibrium formulation of market disequilibrium and variational inequalities, Networks 21 (1991) 109.

    Google Scholar 

  16. S. Thore, Spatial disequilibrium, J. Ref. Sci. 26 (1986) 660.

    Google Scholar 

  17. L. Zhao and S. Dafermos, General economic equilibrium and variational inequalities, Oper. Res. Lett. 10 (1991) 369.

    Google Scholar 

  18. M. Bazaraa,Nonlinear Programming: Theory and Algorithms (Wiley, New York, 1976).

    Google Scholar 

  19. D. Kinderlehrer and G. Stampacchia,An Introduction to Variational Inequalities and their Applications (Academic Press, New York, 1980).

    Google Scholar 

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Dong, J. General financial equilibrium with policy interventions: a variational inequality approach. Ann Oper Res 44, 227–241 (1993). https://doi.org/10.1007/BF02061068

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