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A Measure of Added Value in Groups

Published: 23 July 2019 Publication History
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  • Abstract

    The intuitive notion of added value in groups represents a fundamental property of biological, physical, and economic systems: how the interaction or cooperation of multiple entities, substances, or other agents can produce synergistic effects. However, despite the ubiquity of group formation, a well-founded measure of added value has remained elusive. Here, we propose such a measure inspired by the Shapley value—a fundamental solution concept from Cooperative Game Theory. To this end, we start by developing a solution concept that measures the average impact of each player in a coalitional game and show how this measure uniquely satisfies a set of intuitive properties. Then, building upon our solution concept, we propose a measure of added value that not only analyzes the interactions of players inside their group, but also outside it, thereby reflecting otherwise-hidden information about how these individuals typically perform in various groups of the population.

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    • (2023)Fast Joint Shapley ValuesCompanion of the 2023 International Conference on Management of Data10.1145/3555041.3589393(285-287)Online publication date: 4-Jun-2023

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    Published In

    cover image ACM Transactions on Autonomous and Adaptive Systems
    ACM Transactions on Autonomous and Adaptive Systems  Volume 13, Issue 4
    December 2018
    143 pages
    ISSN:1556-4665
    EISSN:1556-4703
    DOI:10.1145/3349607
    Issue’s Table of Contents
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    Publication History

    Published: 23 July 2019
    Accepted: 01 March 2019
    Received: 01 August 2018
    Published in TAAS Volume 13, Issue 4

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    Author Tags

    1. Harsanyi dividends
    2. Shapley value
    3. Synergy
    4. interaction index

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    • (2023)Fast Joint Shapley ValuesCompanion of the 2023 International Conference on Management of Data10.1145/3555041.3589393(285-287)Online publication date: 4-Jun-2023

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