References
T. Rutherford, “A sequential joint maximization algorithm for applied general equilibrium problems,” Working paper, University of Ontario (1992).
E. Eisenberg and D. Gale, “Consensus of subjective probabilities, the Pari-mutuel method, ” Ann. Math. Stat., 30, No. 1, 150–170 (1959).
D. Gale, Theory of Linear Economic Models [Russian translation], IL, Moscow (1963).
E. Eisenberg, “Aggregation of utility functions,” Manag. Sci., 7, 337–350 (1961).
V. M. Polterovich, “Economic equilibrium and optimum,” Ékon. Mat. Metody, 9, No. 5, 835–845 (1973).
A. S. Manne, “Greenhouse gas abatement — toward Pareto-optimality in integrated assessments” Conf. on Market Instruments for International Environmental Policy, Stanford Univ., Nov. 29-Dec. 1 (1993).
A. S. Manne and T. F. Rutherford, “International trade, capital flows, and sectoral analysis: formulation and solution of intertemporal equilibrium models,” in: W. W. Cooper and A. B. Winston (eds.), New Directions in Computational Economics, Kluwer Academic Publishers (1994), pp. 191–205.
S. Dafermos, “An iterative scheme for variational inequalities,” Math. Progr., 26, 40–47 (1983).
S. A. Ashmanov, An Introduction to Mathematical Economics [in Russian], Nauka, Moscow (1984).
M. M. Levin, V. L. Makarov, and A. M. Rubinov, Mathematical Models of Economic Interaction [in Russian], Fizmatlit, Moscow (1993).
V. M. Polterovich, Economic Equilibrium and Business Management [in Russian], Naulca, Moscow (1990).
W. I. Zangwill and C. B. Garcia, Pathways to Solutions, Fixed Points and Equilibria, Prentice-Hall (1981).
G. Fischer, Yu. Ermoliev, M. A. Keyzer, and C. Rosenzweig, “Simulating the socio-economic and biogeophysical driving forces of land-use and land-cover change: The IIASA land-use change model,” Working paper WP-96-010, IIASA, Laxenburg, Austria (1996).
T. Rutherford, “Sequential joint maximization,” Working paper, Univ. of Colorado (1995).
S. Dafermos, “Exchange price equilibria and variational inequalities,” Math. Progr., 40, 391–402 (1990).
F. R. Gantmakher, Matrix Theory [in Russian], 4th edn., Nauka, Moscow (1988).
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 127–142, November–December, 1997.
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Norkin, V.I., Ermol’ev, Y.M. & Fischer, G. Convergence of a method for computing economic equilibria. Cybern Syst Anal 33, 854–866 (1997). https://doi.org/10.1007/BF02733225
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DOI: https://doi.org/10.1007/BF02733225