Abstract
We introduce resource allocation techniques for a problem where (i) the agents express requests for obtaining item bundles as compact edge-weighted directed acyclic graphs (each path in such graphs is a bundle whose valuation is the sum of the weights of the traversed edges), and (ii) the agents do not bid on the exact same items but may bid on conflicting items, that cannot be both assigned. This setting is motivated by real applications such as Earth observation slot allocation, virtual network functions, or multi-agent path finding. We study several allocation techniques and analyze their performances on an orbit slot ownership allocation problem.
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Notes
- 1.
A Nash equilibrium is an allocation in which the modification of a path for a single agent does not improve its associated utility.
References
OpenStreetMap Points of Interest (on French Territory) (2021). www.data.gouv.fr/fr/datasets/points-dinterets-openstreetmap/. Accessed 30 Aug 2021
Bouveret, S., Cechlárová, K., Elkind, E., Igarashi, A., Peters, D.: Fair division of a graph. In: Sierra, C. (ed.) Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, IJCAI 2017, Melbourne, Australia, August 19–25, 2017, pp. 135–141. ijcai.org (2017). https://doi.org/10.24963/ijcai.2017/20
Caragiannis, I., Kurokawa, D., Moulin, H., Procaccia, A.D., Shah, N., Wang, J.: The unreasonable fairness of maximum Nash welfare. In: Proceedings of the 2016 ACM Conference on Economics and Computation, pp. 305–322. EC 2016, Association for Computing Machinery, New York, NY, USA (2016). https://doi.org/10.1145/2940716.2940726
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 2nd edn. The MIT Press, Cambridge (2001)
Du, Y., Sami, R., Shi, Y.: Path auctions with multiple edge ownership. Theor. Comput. Sci. 411(1), 293–300 (2010). https://doi.org/10.1016/j.tcs.2009.09.032
Hughes, M.S., Lunday, B.J., Weir, J.D., Hopkinson, K.M.: The multiple shortest path problem with path deconfliction. Eur. J. Oper. Res. 292(3), 818–829 (2021). https://doi.org/10.1016/j.ejor.2020.11.033
Igarashi, A., Peters, D.: Pareto-optimal allocation of indivisible goods with connectivity constraints. In: The Thirty-Third AAAI Conference on Artificial Intelligence, AAAI 2019, pp. 2045–2052. AAAI Press (2019). https://doi.org/10.1609/aaai.v33i01.33012045
Immorlica, N., Karger, D.R., Nikolova, E., Sami, R.: First-price path auctions. In: Riedl, J., Kearns, M.J., Reiter, M.K. (eds.) Proceedings 6th ACM Conference on Electronic Commerce (EC-2005), Vancouver, BC, Canada, 5–8 June 2005, pp. 203–212. ACM (2005). https://doi.org/10.1145/1064009.1064031
Kurokawa, D., Procaccia, A.D., Shah, N.: Leximin allocations in the real world. ACM Trans. Econ. Comput. 6(3–4) (2018). https://doi.org/10.1145/3274641
Lemaître, M., Verfaillie, G., Fargier, H., Lang, J., Bataille, N., Lachiver, J.M.: Equitable allocation of earth observing satellites resources. In: 5th ONERA-DLR Aerospace Symposium (ODAS 2003) (2003)
Megiddo, N.: Optimal flows in networks with multiple sources and sinks. Math. Program. 7(1), 97–107 (1974). https://doi.org/10.1007/BF01585506
Moulin, H.: Fair Division and Collective Welfare. MIT Press, Cambridge (2003)
Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V.V.: Algorithmic Game Theory. Cambridge University Press, New York (2007)
Panagopoulou, P.N., Spirakis, P.G.: Algorithms for pure Nash equilibria in weighted congestion games. ACM J. Exp. Algorithmics 11, 2.7-es (2007)
Picard, G.: Auction-based and distributed optimization approaches for scheduling observations in satellite constellations with exclusive orbit portions. In: International Conference on Autonomous Agents and Multiagent Systems (AAMAS-22). IFAAMAS (2022)
Riera, J.F., Escalona, E., Batallé, J., Grasa, E., García-Espín, J.A.: Virtual network function scheduling: Concept and challenges. In: 2014 International Conference on Smart Communications in Network Technologies (SaCoNeT), pp. 1–5 (2014). https://doi.org/10.1109/SaCoNeT.2014.6867768
Yang, S., Li, F., Trajanovski, S., Yahyapour, R., Fu, X.: Recent advances of resource allocation in network function virtualization. IEEE Trans. Parallel Distrib. Syst. 32(2), 295–314 (2021). https://doi.org/10.1109/TPDS.2020.3017001
Zhang, L., Chen, H., Wu, J., Wang, C., Xie, J.: False-name-proof mechanisms for path auctions in social networks. In: ECAI 2016. Frontiers in Artificial Intelligence and Applications, vol. 285, pp. 1485–1492. IOS Press (2016). https://doi.org/10.3233/978-1-61499-672-9-1485
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Maqrot, S., Roussel, S., Picard, G., Pralet, C. (2022). Bundle Allocation with Conflicting Preferences Represented as Weighted Directed Acyclic Graphs. In: Dignum, F., Mathieu, P., Corchado, J.M., De La Prieta, F. (eds) Advances in Practical Applications of Agents, Multi-Agent Systems, and Complex Systems Simulation. The PAAMS Collection. PAAMS 2022. Lecture Notes in Computer Science(), vol 13616. Springer, Cham. https://doi.org/10.1007/978-3-031-18192-4_23
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