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Choice problems with a 'reference' point

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  • Rubinstein, Ariel
  • Zhou, Lin

Abstract

In many decision scenarios, one has to choose an element from a set S given some reference point e. For the case where S is a subset of the Euclidean space , we axiomatize the choice method that selects the point in S that is closet to e.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 37 (1999)
Issue (Month): 3 (May)
Pages: 205-209

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Handle: RePEc:eee:matsoc:v:37:y:1999:i:3:p:205-209

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

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Cited by:
  1. Sudhölter, Peter & Zarzuelo, José M., 2012. "Extending the Nash solution to choice problems with reference points," Discussion Papers of Business and Economics 13/2012, Department of Business and Economics, University of Southern Denmark.
  2. José Apesteguía & Miguel A. Ballester, 2004. "A Theory Of Reference-Dependent Beavior," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0402, Departamento de Economía - Universidad Pública de Navarra.
  3. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 2006-13, Universite de Montreal, Departement de sciences economiques.
  4. Francesco Farina & Eugenio Peluso & Ernesto Savaglio, 2005. "Ranking opportunity sets in the space of functionings," Journal of Economic Inequality, Springer, vol. 2(2), pages 105-116, January.
  5. Forgo, F. & Szidarovszky, F., 2003. "On the relation between the Nash bargaining solution and the weighting method," European Journal of Operational Research, Elsevier, vol. 147(1), pages 108-116, May.
  6. Voorneveld, Mark & van den Nouweland, Anne & McLean, Rich, 2008. "An axiomatization of the Euclidean compromise solution," Working Paper Series in Economics and Finance 703, Stockholm School of Economics.
  7. Naumova, N. I., 2002. "Nonsymmetric equal sacrifice solutions for claim problem," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 1-18, January.
  8. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
  9. M. Voorneveld & A. Nouweland & R. McLean, 2011. "Axiomatizations of the Euclidean compromise solution," International Journal of Game Theory, Springer, vol. 40(3), pages 427-448, August.

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