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Characterizing the Shapley Value in Fixed-Route Traveling Salesman Problems with Appointments

Duygu Yengin

No 2010-32, Adelaide Economics Working Papers from Adelaide University, School of Economics

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 ?nd 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 intro- duce 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 thttps://media.adelaide.edu.au/economics/litting into a set of sponsors.

Keywords: Fixed-route travelling salesman games; routing games; appointment games; the Shapley value; the core; transferable-utility games; merging and splitting proofness; networks; cost allocation (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2010-12
New Economics Papers: this item is included in nep-gth
Note: The revised version of working paper #2009-28
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Journal Article: Characterizing the Shapley value in fixed-route traveling salesman problems with appointments (2012) Downloads
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