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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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Suggested Citation

  • Herrero, Carmen & Villar, Antonio, 1991. "Vector mappings with diagonal images," Mathematical Social Sciences, Elsevier, vol. 22(1), pages 57-67, August.
  • Handle: RePEc:eee:matsoc:v:22:y:1991:i:1:p:57-67
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    Cited by:

    1. Bevia, Carmen & Corchon, Luis, 1995. "On the Generic Impossibility of Truthful Behavior: A Simple Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 365-371, July.
    2. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 113-119.
    3. Carmen Bevi?Author-Email: Carmen.Bevia@uab.es & Luis C. Corch?n & Simon Wilkie, "undated". "Implementation of the Walrasian Correspondence by Market Games," UFAE and IAE Working Papers 493.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. 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).
    5. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
    6. 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).
    7. Miguel González-Maestre, 1993. "Divisionalization In Markets With Hetergeneous Goods," Working Papers. Serie AD 1993-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. 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).
    9. 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).
    10. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
    12. 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).
    13. 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).
    14. Martín Browning, 1993. "Dual approaches to utility," Working Papers. Serie AD 1993-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    15. 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).
    16. 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).
    17. 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).
    18. 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).

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