TY - JOUR
T1 - A two-sided discrete-concave market with possibly bounded side payments
T2 - An approach by discrete convex analysis
AU - Fujishige, Satoru
AU - Tamura, Akihisa
N1 - Funding Information:
We sincerely appreciate anonymous reviewers’ efforts and valuable comments. This work was partially supported by the National Science Council, Taiwan, under contract NSC90-2213-E-005-029.
PY - 2007/2
Y1 - 2007/2
N2 - The marriage model due to Gale and Shapley [Gale, D., L. S. Shapley. 1962. College admissions and the stability of marriage. Amer. Math. Monthly 69 9-15] and the assignment model due to Shapley and Shubik [Shapley, L. S., M. Shubik. 1972. The assignment game I: The core. Internat. J. Game Theory 1 111-130] are standard in the theory of two-sided matching markets. We give a common generalization of these models by utilizing discrete-concave functions and considering possibly bounded side payments. We show the existence of a pairwise stable outcome in our model. Our present model is a further natural extension of the model examined in our previous paper [Fujishige, S., A. Tamura. A general two-sided matching market with discrete concave utility functions. Discrete Appl. Math. 154 950-970], and the proof of the existence of a pairwise stable outcome is even simpler than the previous one.
AB - The marriage model due to Gale and Shapley [Gale, D., L. S. Shapley. 1962. College admissions and the stability of marriage. Amer. Math. Monthly 69 9-15] and the assignment model due to Shapley and Shubik [Shapley, L. S., M. Shubik. 1972. The assignment game I: The core. Internat. J. Game Theory 1 111-130] are standard in the theory of two-sided matching markets. We give a common generalization of these models by utilizing discrete-concave functions and considering possibly bounded side payments. We show the existence of a pairwise stable outcome in our model. Our present model is a further natural extension of the model examined in our previous paper [Fujishige, S., A. Tamura. A general two-sided matching market with discrete concave utility functions. Discrete Appl. Math. 154 950-970], and the proof of the existence of a pairwise stable outcome is even simpler than the previous one.
KW - Assignment model
KW - Bounded side payments
KW - Discrete convex analysis
KW - Marriage model
KW - Pairwise stability
UR - http://www.scopus.com/inward/record.url?scp=33847304117&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33847304117&partnerID=8YFLogxK
U2 - 10.1287/moor.1070.0227
DO - 10.1287/moor.1070.0227
M3 - Article
AN - SCOPUS:33847304117
VL - 32
SP - 136
EP - 155
JO - Mathematics of Operations Research
JF - Mathematics of Operations Research
SN - 0364-765X
IS - 1
ER -