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<p>This paper identifies a class of state-redundant games whose open-loop solution is a degenerate feedback one. The structure of the game features an instantaneous payoff which is at least cubic, and state equations linear in states and controls. The model can be used to illustrate games in the field of industrial organization and management, involving advertising campaigns under product differentiation and either quantity or price competition.</p>

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On a class of state-redundant differential games

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月16日

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  • Luca Lambertini,
  • Arsen Palestini

摘要

This paper identifies a class of state-redundant games whose open-loop solution is a degenerate feedback one. The structure of the game features an instantaneous payoff which is at least cubic, and state equations linear in states and controls. The model can be used to illustrate games in the field of industrial organization and management, involving advertising campaigns under product differentiation and either quantity or price competition.