We provide a new technique to derive group strategyproof mechanisms for the cost-sharing problem. Our technique is simpler and provably more powerful than the existing one based on so called cross-monotonic cost-sharing methods given by Moulin and Shenker [1997]. Indeed, our method yields the first polynomial-time mechanism for the Steiner tree game which is group strategyproof, budget balance and also meets other standard requirements (No Positive Transfer, Voluntary Participation and Consumer Sovereignty). A known result by Megiddo [1978] implies that this result cannot be achieved with cross-monotonic cost-sharing methods, even if using exponential-time mechanisms. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Penna, P., & Ventre, C. (2005). More powerful and simpler cost-sharing methods (when cross-monotonicity is the wrong way). In Lecture Notes in Computer Science (Vol. 3351, pp. 97–110). Springer Verlag. https://doi.org/10.1007/978-3-540-31833-0_10
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