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Global univalence when mappings are not necessarily continuous


  • Taradas Bandyopadhyay

    (University of California, Riverside)

  • Tapan Biswas

    (University of Hull)


(Originally published in Journal of Mathematical Economics (1994) 23(5): 435-450) - This paper proposes a method of establishing the global univalence of a mapping without the assumption of continuity and the absence of points of inflection. When the functions are not continuous and the points of inflections are present, the use of a Jacobian to establish univalence presents some difficulties. The method of establishing univalency, presented in this paper, in turn generalizes the theorems on the uniqueness of competitive equilibrium and factor price equalization.

Suggested Citation

  • Taradas Bandyopadhyay & Tapan Biswas, 2012. "Global univalence when mappings are not necessarily continuous," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 4(1), pages 89-104, June.
  • Handle: RePEc:ren:journl:v:4:y:2012:i:1:p:89-104

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    References listed on IDEAS

    1. Biswas, Tapan & McHardy, Jolian P., 2003. "The long-run effect of a wage policy on employment," Journal of Policy Modeling, Elsevier, vol. 25(3), pages 267-273, April.
    2. Rowthorn, Robert, 1999. "Unemployment, Wage Bargaining and Capital-Labour Substitution," Cambridge Journal of Economics, Oxford University Press, vol. 23(4), pages 413-425, July.
    3. Duncan, Greg J & Stafford, Frank P, 1980. "Do Union Members Receive Compensating Wage Differentials?," American Economic Review, American Economic Association, vol. 70(3), pages 355-371, June.
    4. Calabuig, Vicente & Gonzalez-Maestre, Miguel, 2002. "Union structure and incentives for innovation," European Journal of Political Economy, Elsevier, vol. 18(1), pages 177-192, March.
    5. Addison, John T & Chilton, John B, 1998. "Self-Enforcing Union Contracts: Efficient Investment and Employment," The Journal of Business, University of Chicago Press, vol. 71(3), pages 349-369, July.
    6. Dowrick, Steve & Spencer, Barbara J, 1994. "Union Attitudes to Labor-Saving Innovation: When Are Unions Luddites?," Journal of Labor Economics, University of Chicago Press, vol. 12(2), pages 316-344, April.
    7. Maria Paz Espinosa & Changyong Rhee, 1989. "Efficient Wage Bargaining as a Repeated Game," The Quarterly Journal of Economics, Oxford University Press, vol. 104(3), pages 565-588.
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    Continuity; Univalence; Dominance; Equilibrium;


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