Sharing the Cost of a Capacity Network
Published Online:27 Jan 2010https://doi.org/10.1287/moor.1090.0435
References
- Network Flows: Theory, Algorithms and Applications (1993) (Prentice Hall, New York) Google Scholar
- Several approaches to the same rule in minimum cost spanning tree problems. (2004) . Working paper, University of Vigo, SpainGoogle Scholar
- A fair rule in minimum cost spanning tree problems. J. Econom. Theory (2007a) 137(1):326–352Crossref, Google Scholar
- The optimistic TU game in minimum cost spanning tree problems. Internat. J. Game Theory (2007b) 36(2):223–239Crossref, Google Scholar
- Additivity in minimum cost spanning tree problems. J. Math. Econom. (2009) 45(1–2):38–42Crossref, Google Scholar
- Graphs and Hypergraphs (1973) (North-Holland, Amsterdam) Google Scholar
- On cost allocation for a spanning tree: A game theoretic approach. Networks (1976) 6:335–350Crossref, Google Scholar
- 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
- The P-value for cost sharing in minimum cost spanning tree situations. Theory Decision (2004) 56:47–61Crossref, Google Scholar
- Cost monotonicity, consistency, and minimum cost spanning tree games. Games Econom. Behav. (2004) 48:223–248Crossref, Google Scholar
- 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
- Computers and Intractibility, a Guide to the Theory of NP-Completeness (1979) (W. H. Freeman and Co., San Francisco) Google Scholar
- Minimum cost spanning tree games. Math. Programming (1981) 21:1–18Crossref, Google Scholar
- On the core and nucleolus of minimum cost spanning tree games. Math. Programming (1984) 29:323–347Crossref, Google Scholar
- Axiomatization of the Shapley value in minimum cost spanning tree games. Games Econom. Behav. (2002) 38:265–277Crossref, Google Scholar
- On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Amer. Math. Soc. (1956) 7:48–50Crossref, Google Scholar
- A simple expression for the Shapley value in a special case. Management Sci. (1973) 20:370–372Link, Google Scholar
- Aircraft landing fees: A game-theoretic analysis. Bell J. Econom. (1977) 8:186–204Crossref, Google Scholar
- 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
- Cost allocation for Steiner trees. Networks (1978) 8:1–6Crossref, Google Scholar
- Minimum cost spanning tree games and population monotonic allocation schemes. Eur. J. Oper. Res. (2001) 154:84–97Crossref, Google Scholar
- A characterization of Bird's rule. (2007) . Working paper, Rice University, HoustonGoogle Scholar
- Shortest connection network and some generalization. Bell Systems Tech. J. (1957) 36:1389–1401Crossref, Google Scholar
- Cores of convex games. Internat. J. Game Theory (1971) 1:11–26Crossref, Google Scholar
- , 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
- Personal communication. (2008) May 10). Available upon request from the authorsGoogle Scholar
- On the core of network synthesis games. Math. Programming (1991) 50:123–135Crossref, Google Scholar
- Obligation rules for mcst situations and their monotonicity properties. Eur. J. Oper. Res. (2006) 175:121–134Crossref, Google Scholar
- , 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) 305–322Crossref, Google Scholar

