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Vector mappings with diagonal images

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  • Herrero, Carmen
  • Villar, Antonio

Abstract

A diagonal image may be defined as a point in the image of agiven mapping, whose components are all equal. This paper investigates sufficient conditions for a set-valued mapping to have quasi-diagonal images(in an extended sense). More specifically, we shall show that anupper-hemicontinuous correspondence, with nonempty, compact andconvex values, applying the cartesian product of an arbitrarynumber of simplexes on the corresponding space, has aquasi-diagonal image. Two applications are provided in order to illustrate the usefulness of these points in econornic modelling.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 22 (1991)
Issue (Month): 1 (August)
Pages: 57-67

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Handle: RePEc:eee:matsoc:v:22:y:1991:i:1:p:57-67

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Web page: http://www.elsevier.com/locate/inca/505565

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Cited by:
  1. Fernando Vega Redondo, 1991. "Competition And Culture In The Evolution Of Economic Behavior: A Simple Example," Working Papers. Serie AD 1991-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Fernando Vega Redondo, 1993. "On The Evolution Of Cooperation In General Games Of Common Interest," Working Papers. Serie AD 1993-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  3. Luis Corchón & Simon Wilkie, 1995. "Implementation Of The Walrasian Correspondence By Market Games," Working Papers. Serie AD 1995-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Fernando Vega Redondo, 1993. "Industrial Dynamics, Path-Dependence And Technological Change," Working Papers. Serie AD 1993-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. María Dolores Guilló, 1995. "Terms-Of-Trade And The Current Account: A Two-Country/Two-Sector Growth Model," Working Papers. Serie AD 1995-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Luis Corchón & Bhaskar Chakravorti & Simon Wilkie, 1993. "Credible Implementation," Working Papers. Serie AD 1993-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Nikolai S. Kukushkin, 1993. "Cournot Oligopoly With "Almost" Identical Convex Costs," Working Papers. Serie AD 1993-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  8. Gonzalo Olcina Vauteren & Amparo Urbano Salvador, 1993. "INTROSPECTION AND EQUILIBRIUM SELECTION IN 2x2 MATRIX GAMES," Working Papers. Serie AD 1993-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  9. Begoña Subiza Martínez & Carmen Herrero Blanco, 1991. "A characterization of acyclic preferences on countable sets," Working Papers. Serie AD 1991-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer, vol. 1(1), pages 275-287, December.
  11. Martín Browning, 1993. "Dual approaches to utility," Working Papers. Serie AD 1993-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. Carmen Herrero Blanco, 1993. "Endogenous Reference Points And The Adjusted Proportional Solution For Bargaining Problems With Claims," Working Papers. Serie AD 1993-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  13. Javier M. López Cuñat & José Angel Silva Reus, 1991. "First-best, second-best and principal-agent problems," Working Papers. Serie AD 1991-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  14. Miguel González-Maestre, 1993. "Divisionalization In Markets With Hetergeneous Goods," Working Papers. Serie AD 1993-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  15. Luis Corchón & Carmen Beviá Baeza, 1993. "On The Generic Impossibility Of Truthful Behavior: A Simple Approach," Working Papers. Serie AD 1993-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  16. Amparo Urbano & María Dolores Alepuz Domenech, 1991. "Duopoly Experimentation: Cournot And Bertrand Competition," Working Papers. Serie AD 1991-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  17. María del Carmen Marco Gil, 1993. "A Characterization Of The Extended Claim-Egalitarian Solution," Working Papers. Serie AD 1993-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  18. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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