Abstract
In a resource sharing system, resources are shared among multiple interconnected peers. Peers act as both suppliers and customers of resources by making a certain amount of their resource directly available to others. In this paper we focus on a proportional sharing mechanism, which is fair, efficient and guarantees a market equilibrium in the resource sharing system. We study the incentives an agent may manipulate such a mechanism, by the vertex splitting strategy, for personal gains and adopt a concept called incentive ratio to quantify the amount of gains. For the resource sharing system where the underlying network ia a cycle, we prove that the incentive ratio on this kind of network is bounded by \(2\le \zeta \le 4\). Furthermore, the incentive ratio on an even cycle, a cycle with even number of vertices, is proved to be exactly 2.
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References
Adsul, B., Babu, C.S., Garg, J., Mehta, R., Sohoni, M.: Nash equilibria in fisher market. In: Kontogiannis, S., Koutsoupias, E., Spirakis, P.G. (eds.) SAGT 2010. LNCS, vol. 6386, pp. 30–41. Springer, Heidelberg (2010). doi:10.1007/978-3-642-16170-4_4
Alkalay-Houlihan, C., Vetta, A.: False-name bidding and economic efficiency in combinatorial auctions. In: AAAI, pp. 538–544 (2014)
Brânzei, S., Chen, Y., Deng, X., Aris, F., Frederiksen, S., Zhang, J.: The fisher market game: equilibrium and welfare. In: AAAI (2014)
Chen, N., Deng, X., Zhang, H., Zhang, J.: Incentive ratios of fisher markets. In: Czumaj, A., Mehlhorn, K., Pitts, A., Wattenhofer, R. (eds.) ICALP 2012. LNCS, vol. 7392, pp. 464–475. Springer, Heidelberg (2012). doi:10.1007/978-3-642-31585-5_42
Chen, N., Deng, X., Zhang, J.: How profitable are strategic behaviors in a market? In: Demetrescu, C., Halldórsson, M.M. (eds.) ESA 2011. LNCS, vol. 6942, pp. 106–118. Springer, Heidelberg (2011). doi:10.1007/978-3-642-23719-5_10
Cheng, Y., Deng, X., Pi, Y., Yan, X.: Can bandwidth sharing be truthful? In: Hoefer, M. (ed.) SAGT 2015. LNCS, vol. 9347, pp. 190–202. Springer, Heidelberg (2015). doi:10.1007/978-3-662-48433-3_15
Cheng, Y., Deng, X., Qi, Q., Yan, X.: Truthfulness of a proportional sharing mechanism in resource exchange. In: IJCAI, pp. 187–193 (2016)
Feldman, M., Lai, K., Stoica, I., Chuang, J.: Robust incentive techniques for peer-to-peer networks. In: EC (2004)
Iwasaki, A., Conitzer, V., Omori, Y., Sakurai, Y., Todo, T., Guo, M., Yokoo, M.: Worst-case efficiency ratio in false-name-proof combinatorial auction mechanisms. In: AAMAS, pp. 633–640 (2010)
Koutsoupias, E., Papadimitriou, C.: Worst-case equilibria. In: STACS, pp. 404–413 (1999)
Polak, I.: The incentive ratio in exchange economies. In: Chan, T.-H.H., Li, M., Wang, L. (eds.) COCOA 2016. LNCS, vol. 10043, pp. 685–692. Springer, Cham (2016). doi:10.1007/978-3-319-48749-6_49
Schollmeier, R.: A definition of peer-to-peer networking for the classification of peer-to-peer architectures and applications. In: P2P, pp. 101–102 (2001)
Roughgarden, T., Tardos, É.: How bad is selfish routing? J. ACM 49(2), 236–259 (2002)
Wu, F., Zhang, L.: Proportional response dynamics leads to market equilibrium. In: STOC, pp. 354–363 (2007)
Yokoo, M.: The characterization of strategy/false-name proof combinatorial auction protocols: Price-oriented, rationing-free protocol. In: IJCAI, pp. 733–739 (2003)
Yokoo, M., Sakurai, Y., Matsubara, S.: Robust combinatorial auction protocol against false-name bids. Artif. Intell. 130, 167–181 (2001)
Acknowledgments
This research was partially supported by the National Nature Science Foundation of China (No. 11301475, 11426026, 61632017, 61173011), by a Project 985 grant of Shanghai Jiao Tong University, and by the Research Grant Council of Hong Kong (ECS Project No. 26200314, GRF Project No. 16213115 and GRF Project No.16243516).
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Chen, Z., Cheng, Y., Qi, Q., Yan, X. (2017). Incentive Ratios of a Proportional Sharing Mechanism in Resource Sharing. In: Cao, Y., Chen, J. (eds) Computing and Combinatorics. COCOON 2017. Lecture Notes in Computer Science(), vol 10392. Springer, Cham. https://doi.org/10.1007/978-3-319-62389-4_12
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DOI: https://doi.org/10.1007/978-3-319-62389-4_12
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