Generalizations of Szpilrajn's Theorem in economic and game theories
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- Walter Bossert & David Donaldson & Charles Blackorby, 1999.
"Rationalizable solutions to pure population problems,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 395-407.
- Charles Blackorby, & Walter Bossert & David Donaldson,, 1997. "Rationalizable Solutions to Pure Population Problems," Discussion Papers 97/12, University of Nottingham, School of Economics.
- Stephen A. Clark, 1988. "An extension theorem for rational choice functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 485-492.
- Klaus Nehring & Clemens Puppe, 1998.
"Extended partial orders:A unifying structure for abstract choice theory,"
Annals of Operations Research, Springer, vol. 80(0), pages 27-48, January.
- Klaus Nehring & Clemens Puppe, "undated". "Extended Partial Orders: A Unifying Structure For Abstract Choice Theory," Department of Economics 97-06, California Davis - Department of Economics.
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
"Upper semicontinuous extensions of binary relations,"
Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 231-246, May.
- Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2002. "Upper Semicontinuous Extensions of Binary Relations," Discussion Paper Series a423, Institute of Economic Research, Hitotsubashi University.
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Upper Semicontinuous Extensions of Binary Relations," Cahiers de recherche 2002-01, Universite de Montreal, Departement de sciences economiques.
- Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
- Donaldson, David & Weymark, John A., 1998. "A Quasiordering Is the Intersection of Orderings," Journal of Economic Theory, Elsevier, vol. 78(2), pages 382-387, February.
- Demuynck, Thomas, 2009.
"A general extension result with applications to convexity, homotheticity and monotonicity,"
Mathematical Social Sciences, Elsevier, vol. 57(1), pages 96-109, January.
- Thomas Demuynck, 2009. "A general extension result with applications to convexity, homotheticity and monotonicity," ULB Institutional Repository 2013/252244, ULB -- Universite Libre de Bruxelles.
- Weymark, John A., 2000. "A generalization of Moulin's Pareto extension theorem," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 235-240, March.
- Demuynck, Thomas & Lauwers, Luc, 2009.
"Nash rationalization of collective choice over lotteries,"
Mathematical Social Sciences, Elsevier, vol. 57(1), pages 1-15, January.
- Thomas Demuynck & Luc Lauwers, 2009. "Nash rationalization of collective choice over lotteries," ULB Institutional Repository 2013/252245, ULB -- Universite Libre de Bruxelles.
- Sholomov, Lev A., 2000. "Explicit form of neutral social decision rules for basic rationality conditions," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 81-107, January.
- Sophie Bade, 2005. "Nash equilibrium in games with incomplete preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 309-332, August.
- Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
- repec:bla:econom:v:43:y:1976:i:172:p:381-90 is not listed on IDEAS
- Herden, Gerhard & Pallack, Andreas, 2002. "On the continuous analogue of the Szpilrajn Theorem I," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 115-134, March.
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This paper has been announced in the following NEP Reports:- NEP-MIC-2017-08-20 (Microeconomics)
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