By Gabriella Pigozzi, Marija Slavkovik, Leendert van der Torre (auth.), Francesca Rossi, Alexis Tsoukias (eds.)

ISBN-10: 3642044271

ISBN-13: 9783642044274

ISBN-10: 364204428X

ISBN-13: 9783642044281

This quantity comprises the papers provided at ADT 2009, the 1st overseas convention on Algorithmic choice thought. The convention used to be held in San Servolo, a small island of the Venice lagoon, in the course of October 20-23, 2009. this system of the convention integrated oral shows, posters, invited talks, and tutorials.

The convention acquired sixty five submissions of which 39 papers have been accredited (9 papers have been posters). the themes of those papers diversity from computational social selection choice modeling, from uncertainty to choice studying, from multi-criteria selection making to online game theory.

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Extra resources for Algorithmic Decision Theory: First International Conference, ADT 2009, Venice, Italy, October 20-23, 2009. Proceedings

Example text

Russell and T. Walsh the tournament graph. It suffices to check the winner of each of the polynomial number of fixed tournament graphs. For each fixed tournament graph, the winner can be determined in linear time as there are only O(m) matches to check. We show that there are only a polynomial number of different arrangements of manipulations. First note that at most c of the m 2 matches in the first round have more than one team as a possible winner. This means that there is at most 2c possibilities to examine after each round.

Is not eliminated from competition) takes polynomial time if the normalized scoring model is of the form S = {(i, n − i) | 0 ≤ i ≤ n} and is NP-complete otherwise. By comparison, it is always polynomial to determine if a destructive manipulation exists. Theorem 4. Determining if there is a destructive manipulation of a round robin competition takes polynomial time. Proof. Assume that vl is the team that the coalition desires to lose. It is sufficient to check whether the maximum points of another team via manipulation is greater than the points of vl .

The modified CSL algorithm still makes O(m2 ) comparisons. The only difference is that we have to calculate the minimum which can be done by storing the minimum as each team is checked. Therefore, the time complexity remains O(m2 ) and calculating the minimum is polynomial. Constructive manipulation requires calculating m(vw , svnw ) whilst destructive manipulation requires the minimum over all other teams. 2 Minimal Number of Manipulations for Round Robin Competitions We consider here just Copeland scoring.

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Algorithmic Decision Theory: First International Conference, ADT 2009, Venice, Italy, October 20-23, 2009. Proceedings by Gabriella Pigozzi, Marija Slavkovik, Leendert van der Torre (auth.), Francesca Rossi, Alexis Tsoukias (eds.)


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