Zbigniew Świtalski

(Polish) PDF


In the paper we have introduced a concept of market equilibrium in the model of market with twosided preferences (the model is based on the well-known Gale-Shapley model of college admissions from 1962). We have investigated relationships between our concept of equilibrium and the concept of stable matching as defined by Gale and Shapley.


Market equilibrium, Two-sided preferences, Stable matching, College admissions, Gale- Shapley model


[1] Camina E., [2006], A generalized assignment game, „Mathematical Social Sciences”, Vol. 52, s. 152-161.

[2] Chen Y., Sönmez T., [2006], School choice: an experimental study, „Journal of Economic Theory”, Vol. 127, s. 202-231.

[3] Crawford V.P., Knoer E.M., [1981], Job matching with heterogeneous firms and workers, „Econometrica”, Vol. 49, s. 437-450.

[4] Gale D., [2001], The two-sided matching problem. Origin, development and current issues, „International Game Theory Review”, Vol. 3, s. 237-252.

[5] Gale D., Shapley L.S., [1962], College Admissions and the Stability of Marriage, „American Mathematical Monthly”, Vol. 69, s. 9-15.

[6] Kelso A.S., Crawford V.P., [1982], Job matching, coalition formation and gross substi tutes, „Econometrica”, Vol. 50, s. 1483-1504.

[7] Pais J., Pinter A., [2008], School choice and information: An experimental study on match ing mechanisms, Games and Economic Behavior, Vol. 64, s. 303-328.

[8] Roth A.E., [2002], The economist as engineer: game theory, experimentation, and computation as tools for design economics, „Econometrica”, Vol. 70, s. 1341-1378.

[9] Roth A.E., Sotomayor M.A., [1992], Two-sided matching. A study in game-theoretic modeling and analysis, Cambridge University Press.

[10] Sotomayor M., [2007], Connecting the cooperative and competitive structures of the multiple-partners assignment game, „Journal of Economic Theory”, Vol. 134, s. 155-174.

[11] Świtalski Z., [2005], Optymalny system rekrutacji kandydatów do szkół, „Badania Operacyjne i Decyzje”, Vol. 3-4, s. 85-98.

[12] Świtalski Z., [2008], Stability and equilibria in the matching models, „Scientific Research of the Institute of Mathematics and Computer Science”, Częstochowa University of Technology, Vol. 2(7), s. 77-85.

[13] Świtalski Z., [2008], O kojarzeniu małżeństw i rekrutacji kandydatów do szkół, „Wiadomości Matematyczne”, Vol. 44, s. 35-46.

[14] Yang Z., [2003], A competitive market model for indivisible commodities, „Economics Letters”, Vol. 78, s. 41-47.

Back to top
© 2019–2022 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0