Sharing the Cost of a Capacity Network

Published Online:https://doi.org/10.1287/moor.1090.0435

References

  • Ahuja R. K., Magnanti T. L., Orlin J. B.Network Flows: Theory, Algorithms and Applications (1993) (Prentice Hall, New York) Google Scholar
  • Bergantiños G., Vidal-Puga J. J. Several approaches to the same rule in minimum cost spanning tree problems. (2004) . Working paper, University of Vigo, SpainGoogle Scholar
  • Bergantiños G., Vidal-Puga J. J. A fair rule in minimum cost spanning tree problems. J. Econom. Theory (2007a) 137(1):326–352CrossrefGoogle Scholar
  • Bergantiños G., Vidal-Puga J. J. The optimistic TU game in minimum cost spanning tree problems. Internat. J. Game Theory (2007b) 36(2):223–239CrossrefGoogle Scholar
  • Bergantiños G., Vidal-Puga J. J. Additivity in minimum cost spanning tree problems. J. Math. Econom. (2009) 45(1–2):38–42CrossrefGoogle Scholar
  • Berge C.Graphs and Hypergraphs (1973) (North-Holland, Amsterdam) Google Scholar
  • Bird C. J. On cost allocation for a spanning tree: A game theoretic approach. Networks (1976) 6:335–350CrossrefGoogle Scholar
  • Bogomolnaia A., Moulin H. Sharing a minimal cost spanning tree: Beyond the folk solution. (2008) . Working paper, Rice University, Houston, http://www.ruf.rice.edu/∼econ/faculty/Moulin/MCST0704.pdfGoogle Scholar
  • Brânzei R., Moretti S., Norde H., Tijs S. The P-value for cost sharing in minimum cost spanning tree situations. Theory Decision (2004) 56:47–61CrossrefGoogle Scholar
  • Dutta B., Kar A. Cost monotonicity, consistency, and minimum cost spanning tree games. Games Econom. Behav. (2004) 48:223–248CrossrefGoogle Scholar
  • Feltkamp T., Tijs S., Muto S. On the irreducible core and the equal remaining obligations rule of minimum cost spanning extension problems. (1994) . CentER DP 94106, Tilburg University, The NetherlandsGoogle Scholar
  • Garey M. R., Johnson D. S.Computers and Intractibility, a Guide to the Theory of NP-Completeness (1979) (W. H. Freeman and Co., San Francisco) Google Scholar
  • Granot D., Huberman G. Minimum cost spanning tree games. Math. Programming (1981) 21:1–18CrossrefGoogle Scholar
  • Granot D., Huberman G. On the core and nucleolus of minimum cost spanning tree games. Math. Programming (1984) 29:323–347CrossrefGoogle Scholar
  • Kar A. Axiomatization of the Shapley value in minimum cost spanning tree games. Games Econom. Behav. (2002) 38:265–277CrossrefGoogle Scholar
  • Kruskal J. B. On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Amer. Math. Soc. (1956) 7:48–50CrossrefGoogle Scholar
  • Littlechild S., Owen G. A simple expression for the Shapley value in a special case. Management Sci. (1973) 20:370–372LinkGoogle Scholar
  • Littlechild S., Thompson G. Aircraft landing fees: A game-theoretic analysis. Bell J. Econom. (1977) 8:186–204CrossrefGoogle Scholar
  • Lyons R., Peres Y.Probability on Trees and Networks (2009) (Cambridge University Press, Cambridge, UK) . Forthcoming. (Current version is available at http://mypage.iu.edu/\string∼rdlyons/)Google Scholar
  • Megiddo N. Cost allocation for Steiner trees. Networks (1978) 8:1–6CrossrefGoogle Scholar
  • Norde H., Moretti S., Tijs S. Minimum cost spanning tree games and population monotonic allocation schemes. Eur. J. Oper. Res. (2001) 154:84–97CrossrefGoogle Scholar
  • Ozsoy H. A characterization of Bird's rule. (2007) . Working paper, Rice University, HoustonGoogle Scholar
  • Prim R. C. Shortest connection network and some generalization. Bell Systems Tech. J. (1957) 36:1389–1401CrossrefGoogle Scholar
  • Shapley L. S. Cores of convex games. Internat. J. Game Theory (1971) 1:11–26CrossrefGoogle Scholar
  • Sharkey W. W., Ball M. O., Magnanti T. L., Nonma C. L., Nemhauser G. L. Network models in economics. Handbooks in Operation Research and Management Science (1995) (Elsevier, New York) 713–765Google Scholar
  • Stong R. Personal communication. (2008) May 10). Available upon request from the authorsGoogle Scholar
  • Tamir A. On the core of network synthesis games. Math. Programming (1991) 50:123–135CrossrefGoogle Scholar
  • Tijs S., Brânzei R., Moretti S., Norde H. Obligation rules for mcst situations and their monotonicity properties. Eur. J. Oper. Res. (2006) 175:121–134CrossrefGoogle Scholar
  • Tijs S., Moretti S., Brânzei R., Norde H., Seeger A. The Bird core for minimum cost spanning tree problems revisited: Monotonicity and additivity aspects. Lecture Notes in Economics and Mathematical Systems, Recent Advances in Optimization (2006) 563(Springer, Berlin/Heidelberg) 305–322CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.