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Choice Problems with a "Reference" Point

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  • A. Rubinstein
  • L. Zhou

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

Paper provided by Economics Department, Princeton University in its series Princeton Economic Theory Papers with number 00s3.

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Date of creation: Sep 1998
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Handle: RePEc:wop:prinet:00s3

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Cited by:
  1. 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.
  2. 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.
  3. Naumova, N. I., 2002. "Nonsymmetric equal sacrifice solutions for claim problem," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 1-18, January.
  4. Sudhölter, Peter & Zarzuelo, José M., 2013. "Extending the Nash solution to choice problems with reference points," Games and Economic Behavior, Elsevier, vol. 80(C), pages 219-228.
  5. Jose Apesteguia & Miguel Ballester, 2009. "A theory of reference-dependent behavior," Economic Theory, Springer, vol. 40(3), pages 427-455, September.
  6. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 2006-13, Universite de Montreal, Departement de sciences economiques.
  7. 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.
  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. 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.

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