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Improvements for Truthful Mechanisms with Verifiable One-Parameter Selfish Agents

Ferrante, Alessandro, Parlato, Gennaro, Sorrentino, Francesco and Ventre, Carmine (2005) Improvements for Truthful Mechanisms with Verifiable One-Parameter Selfish Agents At WAOA. , pp. 147-160.

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper we study optimization problems with verifiable one-parameter selfish agents introduced by Auletta et al. [ICALP 2004]. Our goal is to allocate load among the agents, provided that the secret data of each agent is a single positive rational number: the cost they incur per unit load. In such a setting the payment is given after the load completion, therefore if a positive load is assigned to an agent, we are able to verify if the agent declared to be faster than she actually is. We design truthful mechanisms when the agents’ type sets are upper-bounded by a finite value. We provide a truthful mechanism that is c ·(1 + ?)-approximate if the underlying algorithm is c-approximate and weakly-monotone. Moreover, if type sets are also discrete, we provide a truthful mechanism preserving the approximation ratio of the used algorithm. Our results improve the existing ones which provide truthful mechanisms dealing only with finite type sets and do not preserve the approximation ratio of the underlying algorithm. Finally we give a full characterization of the Q||C max problem by using only our results. Even if our payment schemes need upper-bounded type sets, every instance of Q||C max can be ”mapped” into an instance with upper-bounded type sets preserving the approximation ratio.

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More information

Published date: 2005
Venue - Dates: WAOA, 2005-01-01
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 272466
URI: http://eprints.soton.ac.uk/id/eprint/272466
ISBN: 3-540-32207-8
PURE UUID: da2f6ce2-438f-42c0-a2c4-6d6288e1710c

Catalogue record

Date deposited: 13 Jun 2011 14:46
Last modified: 18 Jul 2017 06:24

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Contributors

Author: Alessandro Ferrante
Author: Gennaro Parlato
Author: Francesco Sorrentino
Author: Carmine Ventre

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