Download Algorithmic Game Theory: 8th International Symposium, SAGT by Martin Hoefer PDF

By Martin Hoefer

This publication constitutes the refereed complaints of the eighth foreign Symposium on Algorithmic video game idea, SAGT 2015, held in Saarbrücken, Germany, in September 2015.

The 22 complete papers provided including one prolonged summary and six short bulletins have been conscientiously reviewed and chosen from sixty three submissions. They conceal a number of vital facets of algorithmic video game idea, reminiscent of matching below personal tastes; rate sharing; mechanism layout and social selection; auctions; networking; routing and equity; and equilibrium computation.

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Additional resources for Algorithmic Game Theory: 8th International Symposium, SAGT 2015, Saarbrücken, Germany, September 28–30, 2015, Proceedings

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We say that a is exposed if |μ(a )| < b(a ), and is full otherwise. Analogous definitions of exposed and full hold for courses. Table 1. An instance I of ca. Applicant Quota Preference list Course Quota a1 2 ({c1 , c2 }, {c3 }, ∅) c1 2 a2 3 ({c2 }, {c1 , c3 }, ∅) c2 1 a3 2 ({c3 }, {c2 }, {c1 }) c3 1 Pareto Optimal Matchings in Many-to-Many Markets with Ties 31 For an applicant a and a set of courses S, we define the generalized characteristic vector χa (S) as the vector (|S ∩ C1a |, |S ∩ C2a |, .

Discrete Appl. Math. 11, 223–232 (1985) 12. : The Stable Marriage Problem: Structure and Algorithms. MIT Press, Cambridge (1989) 13. : An improved approximation lower bound for finding almost stable maximum matchings. Inf. Process. Lett. 109(18), 1036–1040 (2009) 14. : An efficient algorithm for the “stable roommates” problem. J. Algorithms 6, 577–595 (1985) 15. : An efficient algorithm for the “optimal” stable marriage. J. ACM 34(3), 532–543 (1987) 16. : The stable roommates problem with ties. J. Algorithms 43, 85–105 (2002) 17.

Our work examines Pareto optimal many-to-many matchings in the setting where applicants’ preferences may include ties. In the special case where each applicant and course has quota equal to one, our setting reduces to the extensively studied House Allocation problem (HA) [1,13], also known as the Assignment problem [5,11]. Computational aspects of HA have been examined thoroughly [2,16] and particularly for the case where applicants’ preferences are strict. In [2] the authors provide a characterization of POMs in the case of strict preferences and utilize it in order to construct polynomial-time algorithms for checking whether a given matching is a POM and for finding a POM of maximum size.

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