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<p>The paper shows how a dynamic model, belonging to the class of positive switching systems, can provide an interesting point of view to the study of the generation and the distribution of wealth in a society. In this model, the evolution of the overall wealth is affected by the way in which individuals share their resources in order to maximize the total income. Different formulations of the corresponding optimal control problem are considered and some general properties are pointed out. Approximated numerical solutions, as well as upper and lower bounds are also investigated. A final section dedicated to an extended numerical analysis yields some qualitative conclusion.</p>

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Positive Switching Systems and the Wealth Distribution Problem

  • 期刊论文

  • 发表日期：

    2025年1月17日

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  • Franco Blanchini,
  • Daniele Casagrande,
  • Patrizio Colaneri,
  • Stefanny Ramirez,
  • Dario Bauso

摘要

The paper shows how a dynamic model, belonging to the class of positive switching systems, can provide an interesting point of view to the study of the generation and the distribution of wealth in a society. In this model, the evolution of the overall wealth is affected by the way in which individuals share their resources in order to maximize the total income. Different formulations of the corresponding optimal control problem are considered and some general properties are pointed out. Approximated numerical solutions, as well as upper and lower bounds are also investigated. A final section dedicated to an extended numerical analysis yields some qualitative conclusion.