On Games Arising From Multi-Depot Chinese Postman Problems
AbstractThis paper introduces cooperative games arising from multi-depot Chinese postman problems and explores the properties of these games. A multi-depot Chinese postman problem (MDCP) is represented by a connected (di)graph G, a set of k depots that is a subset of the vertices of G, and a non-negative weight function on the edges of G. A solution to the MDCP is a minimum weight tour of the (di)graph that visits all edges (arcs) of the graph and that consists of a collection of subtours such that the subtours originate from di erent depots, and each subtour starts and ends at the same depot. A cooperative Chinese postman (CP) game is induced by a MDCP by associating every edge of the graph with a di erent player. This paper characterizes globally and locally k-CP balanced and submodular (di)graphs. A (di)graph G is called globally (locally) k-CP balanced (respectively submodular), if the induced CP game of the corresponding MDCP problem on G is balanced (respectively submodular) for any (some) choice of the locations of the k depots and every non-negative weight function
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2013-005.
Date of creation: 2013
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Chinese postman problem; cooperative game; submodularity; bal- ancedness;
Other versions of this item:
- Platz, Trine Tornøe & Hamers, Herbert, 2012. "On games arising from multi-depot Chinese postman problems," Discussion Papers of Business and Economics 24/2012, Department of Business and Economics, University of Southern Denmark.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-02-08 (All new papers)
- NEP-GTH-2013-02-08 (Game Theory)
- NEP-TRE-2013-02-08 (Transport Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hamers, H.J.M. & Borm, P.E.M. & Leensel, A. van den & Tijs, S.H., 1999.
"Cost allocation in the Chinese postman problem,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-80680, Tilburg University.
- Hamers, Herbert, 1997. "On the concavity of delivery games," European Journal of Operational Research, Elsevier, vol. 99(2), pages 445-458, June.
- Hamers, H.J.M. & Miquel, S. & Norde, H.W., 2011. "Monotonic Stable Solutions for Minimum Coloring Games," Discussion Paper 2011-016, Tilburg University, Center for Economic Research.
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