A DYNAMICAL MODEL FOR THE PROCESS OF SHARING

Ulrich Krause ()
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Ulrich Krause: Department of Mathematics, University of Bremen, 28359 Bremen, Germany

Advances in Complex Systems (ACS), 2018, vol. 21, issue 06n07, 1-10

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.

Keywords: Positive dynamical systems; opinion dynamics; consensus; equal distribution; sugar sharing game; sharing design (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0219525918500169

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