Stability and equilibria in the matching models

• Autorzy: Świtalski Z.
• Języki publikacji: EN

Abstrakty

EN

We define generalized market equilibria for the matching model of Gale and Shapley [1] and study relationships between the notion of equilibrium and the notion of stable matching of Gale and Shapley. Namely, we show that there is a one-to-one correspondence between full-quota matchings and the so-called simple equilibria and a one-to-one correspondence between stable matchings and the so-called stable equilibria.

Słowa kluczowe

EN

matching model; market equilibria

PL

równowaga rynkowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 2
• Strony: 77--85
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Świtalski Z.

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Poland,

Bibliografia

• [1] Gale D., Shapley L.S, College admissions and the stability of marriage, American Mathematical Monthly, 69(1962), 9-15.
• [2] Crawford V.P., Knoer E.M., Job matching with heterogeneous firms and workers, Econometrica 49(1981), 437-450.
• [3] Roth A.E., Sotomayor M.A., Two-sided matching. A study in game-theoretic modeling and analysis, Cambridge University Press, 1992.
• [4] Jehle G.A., Reny P.J., Advanced Microeconomic Theory, Addison Wesley, Boston 2001.
• [5] Moore J.C., General Equilibrium and Welfare Economics, Springer-Verlag, Berlin 2007.