Strategyproof Nash Equilibria in Minimum Cost Spanning Tree Models
In this paper we consider the Minimum Cost Spanning Tree model. We assume that a central planner aims at implementing the minimum cost spanning tree not knowing the true link costs. The central planner sets up a game where agents announce the link costs, a tree is chosen and costs are allocated according to the rules of the game. We characterize ways of allocating costs such that true announcements constitute Nash equilibria. In particular, we nd that the Shapley rule with respect to the irreducible cost matrix is consistent with truthful announcements while a series of other well-known rules (such as the Bird-rule, Serial Equal Split, the Proportional rule etc.) are not.
|Date of creation:||Jan 2010|
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- Gustavo Bergantiños & Juan Vidal-Puga, 2005.
"A fair rule in minimum cost spanning tree problems,"
Game Theory and Information
- Bergantinos, Gustavo & Vidal-Puga, Juan J., 2007. "A fair rule in minimum cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 326-352, November.
- Ruben Juarez & Rajnish Kumar, 2013.
"Implementing efficient graphs in connection networks,"
Springer, vol. 54(2), pages 359-403, October.
- Ruben Juarez & Rajnish Kumar, 2010. "Implementing Efficient Graphs in Connection Networks," Working Papers 201022, University of Hawaii at Manoa, Department of Economics.
- Rajnish Kumar & Ruben Juarez, . "Implementing Efficient Graphs in Connection Networks," Departmental Working Papers 2011-03, Department of Economics, Louisiana State University.
- Ruben Juarez & Rajnish Kumar, 2012. "Implementing Efficient Graphs in Connection Networks," Working Papers 201203, University of Hawaii at Manoa, Department of Economics.
- Peyton Young, H., 1998. "Cost allocation, demand revelation, and core implementation," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 213-228, December.
- Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.
- Jens Leth Hougaard & Hervé Moulin & Lars Peter Østerdal, 2008.
"Decentralized Pricing in Minimum Cost Spanning Trees,"
08-24, University of Copenhagen. Department of Economics.
- Jens Hougaard & Hervé Moulin & Lars Østerdal, 2010. "Decentralized pricing in minimum cost spanning trees," Economic Theory, Springer, vol. 44(2), pages 293-306, August.
- Schmeidler David & Tauman Yair, 1994. "Incentive-Compatible Cost-Allocation Schemes," Journal of Economic Theory, Elsevier, vol. 63(2), pages 189-207, August.
- Bergantiños, Gustavo & Vidal-Puga, Juan, 2009. "Additivity in minimum cost spanning tree problems," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 38-42, January.
- Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March.
- Sanjeev Goyal, 2007.
"Introduction to Connections: An Introduction to the Economics of Networks
[Connections: An Introduction to the Economics of Networks]," Introductory Chapters, Princeton University Press.
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