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Egalitarian solutions in the core

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  • Javier Arin

    (Universidad Pais Vasco, Fundamentos Analisis Economico, Avenida Lehendakari Aguirre 83, 48015 Bilbao, Spain)

  • Elena Inarra

    (Universidad Pais Vasco, Fundamentos Analisis Economico, Avenida Lehendakari Aguirre 83, 48015 Bilbao, Spain)

Abstract

In this paper we define the Lorenz stable set, a subset of the core consisting of the allocations that are not Lorenz dominated by any other allocation of the core. We introduce the leximin stable allocation, which is derived from the application of the Rawlsian criterion on the core. We also define and axiomatize the egalitarian core, a set of core allocations for which no transfer from a rich player to a poor player is possible without violating the core restrictions. We find an inclusive relation of the leximin stable allocation and of the Lorenz stable set into the egalitarian core.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 30 (2001)
Issue (Month): 2 ()
Pages: 187-193

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Handle: RePEc:spr:jogath:v:30:y:2001:i:2:p:187-193

Note: Received: October 1999/Final version: July 2001
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Related research

Keywords: balanced games · reduced game properties Rawls and Lorenz criteria;

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Cited by:
  1. Luquin, Paloma & Arin Aguirre, Francisco Javier & Iñarra García, María Elena, 2006. "A noncooperative view on two consistent aiport cost sharing rules," IKERLANAK 2006-23, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. Francesc Llerena & Carles Rafels & Cori Vilella, 2008. "A simple procedure for computing strong constrained egalitarian allocations," Working Papers 327, Barcelona Graduate School of Economics.
  3. Michel Le Breton & Juan D. Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2010. "Stability and Fairness in Models with a Multiple Membership," Working Papers 10.16, Universidad Pablo de Olavide, Department of Economics.
  4. Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer, vol. 37(4), pages 565-580, December.
  5. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Egalitarianism in convex fuzzy games," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 313-325, May.
  6. Arin, J. & Feltkamp, V., 2007. "Coalitional games with veto players: Consistency, monotonicity and Nash outcomes," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 855-870, September.
  7. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Egalitarianism in Multi-Choice Games," Discussion Paper 2007-55, Tilburg University, Center for Economic Research.
  8. Llerena Garrés, Francesc & Mauri Masdeu, Llúcia, 2014. "On reduced games and the lexmax solution," Working Papers 2072/237591, Universitat Rovira i Virgili, Department of Economics.
  9. Hougaard, Jens Leth & Østerdal, Lars Peter, 2010. "Monotonicity of social welfare optima," Games and Economic Behavior, Elsevier, vol. 70(2), pages 392-402, November.
  10. Iehlé, Vincent, 2014. "The lattice structure of the S-Lorenz core," Economics Papers from University Paris Dauphine 123456789/11604, Paris Dauphine University.
  11. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
  12. repec:hal:wpaper:halshs-00575076 is not listed on IDEAS
  13. J. Arin & E. Inarra & P. Luquin, 2009. "A noncooperative view on two airport cost sharing rules," Review of Economic Design, Springer, vol. 13(4), pages 361-376, December.
  14. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "The Equal Split-Off Set for Cooperative Games," Discussion Paper 2004-110, Tilburg University, Center for Economic Research.

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