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The Jacobian matrix and global univalence of mappings

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References

  1. Alexandroff, P., andH. Hopf: Topologie I. 636 pp. Berlin: Julius Springer 1935.

    Book  Google Scholar 

  2. Hawkins, D., andH. A. Simon: Some conditions of macroeconomic stability. Econometrica17, 1949.

  3. McKenzie, L. W.: Matrices with dominant diagonals and economic theory. Mathematical Methods in the Social Sciences 1959. Stanford Univ. Press 1960.

  4. Noshiro, K.: On the theory of schlicht functions. J. Faculty Sci. Hokkaido Imp. Univ.2 (1934).

  5. Samuelson, P. A.: Prices of factors and goods in general equilibrium. Rev. Econ. Stud.21 (1953).

  6. Stiemke, E.: Über positive Lösungen homogener linearer Gleichungen. Math. Ann.76, (1915).

  7. Tucker, A. W.: Dual systems of homogeneous linear relations. “Linear Inequalities and Related Systems.” Ann. Math. Studies No. 38. Princeton Univ. Press 1956.

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This paper is based on a joint research done by the both authors at the Institute of Social and Economic Research, Osaka University. The first author is supported in part by a contract with the Office of Naval Research, USA. The authors benefited from valuable correspondence with ProfessorP. A. Samuelson.

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Gale, D., Nikaido, H. The Jacobian matrix and global univalence of mappings. Math. Ann. 159, 81–93 (1965). https://doi.org/10.1007/BF01360282

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