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Maximin Share Based Mechanisms for Multi-resource Fair Allocation with Divisible and Indivisible Tasks

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Theoretical Computer Science (NCTCS 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1693))

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Abstract

Finding a fair and efficient allocation is an important issue in cloud computing systems. In this paper, we propose a maximin share (MMS) based mechanism for the divisible case which satisfies Pareto efficiency, envy-freeness, sharing incentive and group strategy-proofness. We also propose a MMS based mechanism for the indivisible case which satisfies Pareto efficiency, envy-free up to one bundle and sharing incentive.

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Acknowledgements

The work is supported in part by the National Natural Science Foundation of China [No. 12071417].

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Authors and Affiliations

  1. School of Mathematics and Statistics, Yunnan University, Kunming, 650504, China

    Bin Deng & Weidong Li

Authors
  1. Bin Deng
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  2. Weidong Li
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Corresponding author

Correspondence to Bin Deng .

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Editors and Affiliations

  1. National University of Defense Technology, Changsha, China

    Zhiping Cai

  2. Shanghai Jiao Tong University, Shanghai, China

    Yijia Chen

  3. Chinese Academy of Sciences, Beijing, China

    Jialin Zhang

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Deng, B., Li, W. (2022). Maximin Share Based Mechanisms for Multi-resource Fair Allocation with Divisible and Indivisible Tasks. In: Cai, Z., Chen, Y., Zhang, J. (eds) Theoretical Computer Science. NCTCS 2022. Communications in Computer and Information Science, vol 1693. Springer, Singapore. https://doi.org/10.1007/978-981-19-8152-4_19

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  • DOI: https://doi.org/10.1007/978-981-19-8152-4_19

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  • Print ISBN: 978-981-19-8151-7

  • Online ISBN: 978-981-19-8152-4

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