Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/108184
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Type: | Journal article |
Title: | Coincidence of cooperative game theoretic solutions in the appointment problem |
Author: | Chun, Y. Park, N. Yengin, D. |
Citation: | International Journal of Game Theory, 2016; 45(3):699-708 |
Publisher: | Springer |
Issue Date: | 2016 |
ISSN: | 0020-7276 1432-1270 |
Statement of Responsibility: | Youngsub Chun, Nari Park, Duygu Yengin |
Abstract: | The fixed-route traveling salesman problem with appointments, simply the appointment problem, is concerned with the following situation. Starting from home, a traveler makes a scheduled visit to a group of sponsors and returns home. If a sponsor in the route cancels her appointment, the traveler returns home and waits for the next appointment. We are interested in finding a way of dividing the total traveling cost among sponsors in the appointment problem by applying solutions developed in the cooperative game theory. We show that the well-known solutions of the cooperative game theory, the Shapley value, the nucleolus (or the prenucleolus), and the τ -value, coincide under a mild condition on the traveling cost. |
Keywords: | Fixed-route traveling salesman problem; appointment problem; Shapley value; prenucleolus; nucleolus; τ-value; coincidence |
Rights: | © Springer-Verlag Berlin Heidelberg 2015 |
DOI: | 10.1007/s00182-015-0478-6 |
Published version: | http://dx.doi.org/10.1007/s00182-015-0478-6 |
Appears in Collections: | Aurora harvest 3 Economics publications |
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RA_hdl_108184.pdf Restricted Access | Restricted Access | 284.96 kB | Adobe PDF | View/Open |
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