Abstract
We consider randomized mechanisms for multi-dimensional scheduling. Following Lavi and Swamy [10], we study a setting with restrictions on the domain, while still preserving multi-dimensionality. In a sense, our setting is the simplest multi-dimensional setting, where each machine holds privately only a single-bit of information.
We prove a separation between truthful-in-expectation and universally truthful mechanisms for makespan minimization: We first show how to design an optimal truthful-in-expectation mechanism, and then prove lower bounds on the approximation guarantee of universally truthful mechanisms.
Research partially supported by the PRIN 2008 research project COGENT (COmputational and GamE-theoretic aspects of uncoordinated NeTworks), funded by the Italian Ministry of University and Research.
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Auletta, V., Christodoulou, G., Penna, P. (2012). Mechanisms for Scheduling with Single-Bit Private Values. In: Serna, M. (eds) Algorithmic Game Theory. SAGT 2012. Lecture Notes in Computer Science, vol 7615. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33996-7_3
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