Abstract
We introduce the concept of budget games. Players choose a set of tasks and each task has a certain demand on every resource in the game. Each resource has a budget. If the budget is not enough to satisfy the sum of all demands, it has to be shared between the tasks. We study strategic budget games, where the budget is shared proportionally. We also consider a variant in which the order of the strategic decisions influences the distribution of the budgets. The complexity of the optimal solution as well as existence, complexity and quality of equilibria are analyzed. Finally, we show that the time an ordered budget game needs to convergence towards an equilibrium may be exponential.
This work was partially supported by the German Research Foundation (DFG) within the Collaborative Research Centre “On-The-Fly Computing” (SFB 901) and by the EU within FET project MULTIPLEX under contract no. 317532.
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References
Ahn, H.-K., Cheng, S.-W., Cheong, O., Golin, M., van Oostrum, R.: Competitive facility location: the voronoi game. Theoretical Computer Science 310(1-3), 457–467 (2004)
Feige, U.: A threshold of ln n for approximating set cover. J. ACM 45(4), 634–652 (1998)
Gairing, M., Klimm, M.: Congestion games with player-specific costs revisited. In: Vöcking, B. (ed.) SAGT 2013. LNCS, vol. 8146, pp. 98–109. Springer, Heidelberg (2013)
Jain, K., Vazirani, V.V.: Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and lagrangian relaxation. J. ACM 48(2), 274–296 (2001)
Li, X.-Y., Sun, Z., Wang, W.: Cost sharing and strategyproof mechanisms for set cover games. In: Diekert, V., Durand, B. (eds.) STACS 2005. LNCS, vol. 3404, pp. 218–230. Springer, Heidelberg (2005)
Li, X.-Y., Sun, Z., Wang, W., Chu, X., Tang, S., Xu, P.: Mechanism design for set cover games with selfish element agents. Theoretical Computer Science 411(1), 174–187 (2010)
Mavronicolas, M., Milchtaich, I., Monien, B., Tiemann, K.: Congestion games with player-specific constants. In: Kučera, L., Kučera, A. (eds.) MFCS 2007. LNCS, vol. 4708, pp. 633–644. Springer, Heidelberg (2007)
Milchtaich, I.: Congestion games with player-specific payoff functions. Games and Economic Behavior 13(1), 111–124 (1996)
Nemhauser, G.L., Wolsey, L.A., Fisher, M.L.: An analysis of approximations for maximizing submodular set functionsi. Mathematical Programming 14(1), 265–294 (1978)
Rosenthal, R.: A class of games possessing pure-strategy nash equilibria. International Journal of Game Theory 2(1), 65–67 (1973)
Vetta, A.: Nash equilibria in competitive societies, with applications to facility location, traffic routing and auctions. In: 2002 Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science, pp. 416–425 (2002)
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Drees, M., Riechers, S., Skopalik, A. (2014). Budget-Restricted Utility Games with Ordered Strategic Decisions. In: Lavi, R. (eds) Algorithmic Game Theory. SAGT 2014. Lecture Notes in Computer Science, vol 8768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44803-8_10
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DOI: https://doi.org/10.1007/978-3-662-44803-8_10
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