A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios

Algorithm Portfolios [6, 5] have attracted signi cant attention in Arti - cial Intelligence research, due to their ability to exploit the complemen- tary strengths that often exist among di erent algorithms. In this arti- cle, we address the following natural question: How do we measure the contribu...

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Main Authors: Rahwan, T, Michalak, T
Format: Report
Published: DCS 2013
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author Rahwan, T
Michalak, T
author_facet Rahwan, T
Michalak, T
author_sort Rahwan, T
collection OXFORD
description Algorithm Portfolios [6, 5] have attracted signi cant attention in Arti - cial Intelligence research, due to their ability to exploit the complemen- tary strengths that often exist among di erent algorithms. In this arti- cle, we address the following natural question: How do we measure the contribution that an algorithm makes to a portfolio of algorithms? We show that the solution proposed in the literature to answer this question is inadequate. We then propose the use of the Shapley value|a well- known concept in cooperative game theory|and show that it provides the correct answer. We discuss the potential impact and insights that the use of this measure could bring to the community.
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spelling oxford-uuid:fbdb563a-8649-4280-b74a-3c010187a5012022-03-27T13:16:45ZA Game Theoretic Approach to Measure Contributions in Algorithm PortfoliosReporthttp://purl.org/coar/resource_type/c_93fcuuid:fbdb563a-8649-4280-b74a-3c010187a501Department of Computer ScienceDCS2013Rahwan, TMichalak, TAlgorithm Portfolios [6, 5] have attracted signi cant attention in Arti - cial Intelligence research, due to their ability to exploit the complemen- tary strengths that often exist among di erent algorithms. In this arti- cle, we address the following natural question: How do we measure the contribution that an algorithm makes to a portfolio of algorithms? We show that the solution proposed in the literature to answer this question is inadequate. We then propose the use of the Shapley value|a well- known concept in cooperative game theory|and show that it provides the correct answer. We discuss the potential impact and insights that the use of this measure could bring to the community.
spellingShingle Rahwan, T
Michalak, T
A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title_full A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title_fullStr A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title_full_unstemmed A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title_short A Game Theoretic Approach to Measure Contributions in Algorithm Portfolios
title_sort game theoretic approach to measure contributions in algorithm portfolios
work_keys_str_mv AT rahwant agametheoreticapproachtomeasurecontributionsinalgorithmportfolios
AT michalakt agametheoreticapproachtomeasurecontributionsinalgorithmportfolios
AT rahwant gametheoreticapproachtomeasurecontributionsinalgorithmportfolios
AT michalakt gametheoreticapproachtomeasurecontributionsinalgorithmportfolios