Gale-Shapley Stable Marriage Problem Revisited: Strategic Issues and Applications
AbstractWe study strategic issues in the Gale-Shapley stable marriage model. In the first part of the paper, we derive the optimal cheating strategy and show that it is not always possible for a woman to recover her women-optimal stable partner from the men-optimal stable matching mechanism when she can only cheat by permuting her preferences. In fact, we show, using simulation, that the chances that a woman can benefit from cheating are slim. In the second part of the paper, we consider a two-sided matching market found in Singapore. We study the matching mechanism used by the Ministry of Education (MOE) in the placement of primary six students in secondary schools, and discuss why the current method has limited success in accommodating the preferences of the students, and the specific needs of the schools (in terms of the "mix" of admitted students). Using insights from the first part of the paper, we show that stable matching mechanisms are more appropriate in this matching market and explain why the strategic behavior of the students need not be a major concern.
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Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 47 (2001)
Issue (Month): 9 (September)
Stable Marriage; Strategic Issues; Gale-Shapley Algorithm; Student Posting Exercise;
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- James Boudreau, 2008.
"Preference Structure and Random Paths to Stability in Matching Markets,"
AccessEcon, vol. 3(67), pages 1-12.
- James W. Boudreau, 2008. "Preference Structure and Random Paths to Stability in Matching Markets," Working papers 2008-29, University of Connecticut, Department of Economics.
- Egbert, Henrik & Neumann, Thomas & Rasmus, Anke, 2014.
"Matchingtools und Matchingprozesse im Kontext von Junior und Senior Entrepreneuren
[Matching Tools and Processes in the Context of Junior and Senior Entrepreneurship]," MPRA Paper 54829, University Library of Munich, Germany.
- László Á. Kóczy, 2009.
"Központi felvételi rendszerek: Taktikázás és stabilitás,"
Working Paper Series
0901, Óbuda University, Keleti Faculty of Business and Management.
- Kóczy Á., László, 2009.
"Központi felvételi rendszerek. Taktikázás és stabilitás
[Central admission systems. Stratagems and stability]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 422-442.
- Kóczy Á., László, 2009. "Központi felvételi rendszerek. Taktikázás és stabilitás
- James W. Boudreau & Vicki Knoblauch, 2010.
"Marriage Matching and Intercorrelation of Preferences,"
Journal of Public Economic Theory,
Association for Public Economic Theory, vol. 12(3), pages 587-602, 06.
- James W. Boudreau & Vicki Knoblauch, 2008. "Marriage Matching and Intercorrelation of Preferences," Working papers 2008-27, University of Connecticut, Department of Economics.
- Guillaume Haeringer & Flip Klijn, 2008.
"Constrained School Choice,"
294, Barcelona Graduate School of Economics.
- Ergin, Haluk & Sonmez, Tayfun, 2006.
"Games of school choice under the Boston mechanism,"
Journal of Public Economics,
Elsevier, vol. 90(1-2), pages 215-237, January.
- Kóczy Á., László, 2010.
"A magyarországi felvételi rendszerek sajátosságai
[Specific features of Hungarys system of school and university admissions]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 142-164.
- James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
- repec:ebl:ecbull:v:3:y:2008:i:67:p:1-12 is not listed on IDEAS
- James W. Boudreau, 2008.
"Stratification and Growth in Agent-based Matching Markets,"
2008-30, University of Connecticut, Department of Economics.
- Boudreau, James W., 2010. "Stratification and growth in agent-based matching markets," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 168-179, August.
- Peter Biro & Sofya Kiselgof, 2013. "College admissions with stable score-limits," IEHAS Discussion Papers 1306, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
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