By Dorothea Baumeister, Gábor Erdélyi, Jörg Rothe (auth.), Ronen I. Brafman, Fred S. Roberts, Alexis Tsoukià s (eds.)

ISBN-10: 3642248721

ISBN-13: 9783642248726

ISBN-10: 364224873X

ISBN-13: 9783642248733

This e-book constitutes the refereed court cases of the second one overseas convention on Algorithmic choice idea, ADT 2011, held in Piscataway, NJ, united states, in October 2011. The 24 revised complete papers awarded have been rigorously reviewed and chosen from 50 submissions.

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Additional resources for Algorithmic Decision Theory: Second International Conference, ADT 2011, Piscataway, NJ, USA, October 26-28, 2011. Proceedings

Example text

Set N1,c will be denoted by Nc . Our multiobjective branch and bound approach for the committee selection problem relies on the following property: Committee Selection Based on a Pairwise Dominance Relation 35 Proposition 2. For any feasible profit vector p = (p1 , . . , pC ), solution x = (x1 , . . , xn ) defined by – – – – xi xi xi xi = 1, = 0, = 1, = 0, ∀i = 1, . . , p1 ∀i = p1 + 1, . . , |N1 | ∀i = |Nc−1 | + 1, . . , |Nc−1 | + pc − pc−1 ∀c = 2, . . , C ∀i = |Nc−1 | + pc − pc−1 + 1, . .

Our notation p/t differs a bit from the Kp/t notation of Palacious and Geffner. The latter is used to stress the fact that these propositions are actually representing knowledge about the belief state. However, because of our assumption that tags are deterministic, we have that ¬Kp → K¬p. To stress this and remove the redundancy, we use a single proposition p/t instead of two propositions Kp/t, K¬p/t. The actions are transformed accordingly to maintain our state of knowledge. Given the manner tags were selected, we always know how an action would alter the value of some proposition given any of its tags.

The effective calculability of the preferred committees) is often a secondary issue. This is precisely the issue we study in this paper. More formally, we investigate the problem of selecting K individuals (or more generally objects) among n with budget B, where the selection of individual i This research has been supported by the project ANR-09-BLAN-0361 GUaranteed Efficiency for PAReto optimal solutions Determination (GUEPARD). I. Brafman, F. Roberts, and A. ): ADT 2011, LNAI 6992, pp. 28–41, 2011.

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Algorithmic Decision Theory: Second International Conference, ADT 2011, Piscataway, NJ, USA, October 26-28, 2011. Proceedings by Dorothea Baumeister, Gábor Erdélyi, Jörg Rothe (auth.), Ronen I. Brafman, Fred S. Roberts, Alexis Tsoukià s (eds.)


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