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Global univalence when mappings are not necessarily continuous

Author

Listed:
  • Taradas Bandyopadhyay

    (University of California, Riverside)

  • Tapan Biswas

    (University of Hull)

Abstract

(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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    Keywords

    Continuity; Univalence; Dominance; Equilibrium;

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