Abstract
Starting from her home, a service provider visits several customers, following a predetermined route, and returns home after all customers are visited. The problem is to find a fair allocation of the total cost of this tour among the customers served. A transferable-utility cooperative game can be associated with this cost allocation problem. We introduce a new class of games, which we refer as the fixed-route traveling salesman games with appointments. We characterize the Shapley value in this class using a property which requires that sponsors do not benefit from mergers, or splitting into a set of sponsors.
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The first draft of this paper was written when I was a Ph.D. student in the University of Rochester.
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Yengin, D. Characterizing the Shapley value in fixed-route traveling salesman problems with appointments. Int J Game Theory 41, 271–299 (2012). https://doi.org/10.1007/s00182-011-0285-7
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DOI: https://doi.org/10.1007/s00182-011-0285-7
Keywords
- Fixed-route traveling salesman games
- Routing games
- Appointment games
- The Shapley value
- The core
- Transferable-utility games
- Merging and splitting proofness
- Networks
- Cost allocation