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The term atomic/nonatomic has been widely used in the literature to refer to the measure associated with the set of all decision-makers. If that measure has no atom, the game is sometimes referred to as a nonatomic game. If the index of a single decision-maker is of nonzero measure, that decision-maker is an atomic one. Here, we use a slightly different definition, but the idea is similar: An atomic decision-maker has a non-negligible effect on the population mean-field of states and or actions.

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MASS: Master Adjoint Systems with Atomic and Nonatomic Decision-Makers

  • 章节

  • 发表日期：

    2026年

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  • Tamer Başar,
  • Boualem Djehiche,
  • Hamidou Tembine

摘要

The term atomic/nonatomic has been widely used in the literature to refer to the measure associated with the set of all decision-makers. If that measure has no atom, the game is sometimes referred to as a nonatomic game. If the index of a single decision-maker is of nonzero measure, that decision-maker is an atomic one. Here, we use a slightly different definition, but the idea is similar: An atomic decision-maker has a non-negligible effect on the population mean-field of states and or actions.