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A Dynamical Model For The Process Of Sharing

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  • ULRICH KRAUSE

    (Department of Mathematics, University of Bremen, 28359 Bremen, Germany)

Abstract

The paper introduces a general sharing structure and presents sufficient and necessary conditions for the agents to approach by the dynamics of sharing an equal distribution of assets. For the special case of a ring structure with a uniform sharing rate, robustness is analyzed in case the rate does change during the process of sharing. The search for an equal distribution is similar to that for consensus in opinion dynamics and multiagent systems as a result of which tools from the latter are used in proving the results.

Suggested Citation

  • Ulrich Krause, 2018. "A Dynamical Model For The Process Of Sharing," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-10, September.
    • Handle: RePEc:wsi:acsxxx:v:21:y:2018:i:06n07:n:s0219525918500169
    DOI: 10.1142/S0219525918500169
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    References listed on IDEAS

    as
    1. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
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    Cited by:

    1. Jan Lorenz & Martin Neumann, 2018. "Opinion Dynamics And Collective Decisions," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-9, September.

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