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Mean Field Linear Quadratic Games with Set Up Costs

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Abstract

This paper studies linear quadratic games with set up costs monotonic on the number of active players, namely, players whose action is non-null. Such games arise naturally in joint replenishment inventory systems. Building upon a preliminary analysis of the properties of the best response strategies and Nash equilibria for the given game, the main contribution is the study of the same game under large population. We also analyze the influence of an additional disturbance in the spirit of the literature on H ∞ control. Numerical illustrations are provided.

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Authors and Affiliations

  1. DICGIM, Università di Palermo, 90128, Palermo, Italy

    Dario Bauso

  2. Dipartimento di Management, Università di Venezia-Ca’ Foscari, Venezia, Italy

    Raffaele Pesenti

Authors
  1. Dario Bauso
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  2. Raffaele Pesenti
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Correspondence to Raffaele Pesenti.

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Bauso, D., Pesenti, R. Mean Field Linear Quadratic Games with Set Up Costs. Dyn Games Appl 3, 89–104 (2013). https://doi.org/10.1007/s13235-012-0069-0

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  • DOI: https://doi.org/10.1007/s13235-012-0069-0

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