Abstract
We prove a general monotonicity result about Nash flows in directed networks, which generalizes earlier results and can be used for the design of truthful mechanisms in the setting where each edge of the network is controlled by a different selfish agent, who incurs costs proportional to the usage of her edge. Moreover, we consider a mechanism design setting with two-parameter agents, which generalizes the well-known setting of one-parameter agents by allowing a fixed cost component as part of each agent’s private data. We give a complete characterization of the set of output functions that can be turned into truthful mechanisms for two-parameter agents. This characterization also motivates our choice of linear cost functions without fixed costs for the edges in the selfish routing setting.
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References
Mas-Colell, A., Whinston, M.D., Green, J.R.: Microeconomic Theory. Oxford University Press, Oxford (1995)
Nisan, N., Ronen, A.: Algorithmic mechanism design. Games and Economic Behavior 35, 166–196 (2001)
Archer, A., Tardos, É.: Truthful mechanisms for one-parameter agents. In: Proceedings of the 42nd Annual IEEE Symposium on the Foundations of Computer Science, pp. 482–491 (2001)
Roughgarden, T. (ed.): Selfish Routing and the Price of Anarchy. MIT Press, Cambridge (2005)
Roughgarden, T.: Selfish Routing. PhD thesis, Cornell University (2002)
Cole, R., Dodis, Y., Roughgarden, T.: How much can taxes help selfish routing? In: Proceedings of the 4th ACM Conference on Electronic Commerce, pp. 98–107 (2003)
Fleischer, L., Jain, K., Mahdian, M.: Tolls for heterogeneous selfish users in multicommodity networks and generalized congestion games. In: Proceedings of the 45th Annual IEEE Symposium on the Foundations of Computer Science, pp. 277–285 (2004)
Dafermos, S.C., Nagurney, A.: Sensitivity analysis for the asymmetric network equilibrium problem. Mathematical Programming 28, 174–184 (1984)
Smith, M.J.: The existence, uniqueness, and stability of traffic equilibria. Transportation Research 13B, 295–304 (1979)
Correa, J.R., Schulz, A.S., Stier-Moses, N.E.: On the inefficiency of equilibria in congestion games. In: Jünger, M., Kaibel, V. (eds.) IPCO 2005. LNCS, vol. 3509, pp. 167–181. Springer, Heidelberg (2005)
Roughgarden, T., Tardos, É.: How bad is selfish routing? Journal of the ACM 49(2), 236–259 (2002)
Bikhchandani, S., Chatterji, S., Lavi, R., Mu’alem, A., Nisan, N., Sen, A.: Weak monotonicity characterizes deterministic dominant strategy implementation. Econometrica 74(4), 1109–1132 (2006)
Saks, M., Yu, L.: Weak monotonicity suffices for truthfulness on convex domains. In: Proceedings of the 6th ACM Conference on Electronic Commerce, pp. 286–293 (2005)
Archer, A.: Mechanisms for Discrete Optimization with Rational Agents. PhD thesis, Cornell University (2004)
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Thielen, C., Krumke, S.O. (2009). Truthful Mechanisms for Selfish Routing and Two-Parameter Agents. In: Mavronicolas, M., Papadopoulou, V.G. (eds) Algorithmic Game Theory. SAGT 2009. Lecture Notes in Computer Science, vol 5814. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04645-2_5
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DOI: https://doi.org/10.1007/978-3-642-04645-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04644-5
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