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Prices of Anarchy, Information, and Cooperation in Differential Games

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  • Tamer Başar
  • Quanyan Zhu

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  • Tamer Başar & Quanyan Zhu, 2011. "Prices of Anarchy, Information, and Cooperation in Differential Games," Dynamic Games and Applications, Springer, vol. 1(1), pages 50-73, March.
  • Handle: RePEc:spr:dyngam:v:1:y:2011:i:1:p:50-73
    DOI: 10.1007/s13235-010-0002-3
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    References listed on IDEAS

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    1. Engwerda, J.C., 1999. "The Solution Set of the n-Player Scalar Feedback Nash Algebraic Riccati Equations," Discussion Paper 1999-90, Tilburg University, Center for Economic Research.
    2. Pradeep Dubey, 1986. "Inefficiency of Nash Equilibria," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 1-8, February.
    3. Basar, Tamer & Ho, Yu-Chi, 1974. "Informational properties of the Nash solutions of two stochastic nonzero-sum games," Journal of Economic Theory, Elsevier, vol. 7(4), pages 370-387, April.
    4. Roughgarden, Tim & Tardos, Eva, 2004. "Bounding the inefficiency of equilibria in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 389-403, May.
    5. Engwerda, J.C., 2000. "Feedback Nash equilibria in the scalar infinite horizon LQ-Game," Other publications TiSEM 58ccf964-4ca1-4d67-9a68-a, Tilburg University, School of Economics and Management.
    6. Engwerda, J.C., 1999. "The Solution Set of the n-Player Scalar Feedback Nash Algebraic Riccati Equations," Other publications TiSEM 63f19390-d8dd-4c84-9b96-7, Tilburg University, School of Economics and Management.
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    Citations

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    Cited by:

    1. Engwerda, Jacob, 2017. "A numerical algorithm to calculate the unique feedback nash equilibrium in a large scalar LQ differential game," Other publications TiSEM 0442b203-1b92-4be3-ba60-7, Tilburg University, School of Economics and Management.
    2. Valentijn Stienen & Jacob Engwerda, 2020. "Measuring Impact of Uncertainty in a Stylized Macroeconomic Climate Model within a Dynamic Game Perspective," Energies, MDPI, vol. 13(2), pages 1-39, January.
    3. Engwerda, Jacob, 2016. "Robust open-loop Nash equilibria in the noncooperative LQ game revisited," Other publications TiSEM 9032e90c-3a09-4132-848b-4, Tilburg University, School of Economics and Management.
    4. Parilina, Elena & Sedakov, Artem & Zaccour, Georges, 2017. "Price of anarchy in a linear-state stochastic dynamic game," European Journal of Operational Research, Elsevier, vol. 258(2), pages 790-800.
    5. Jacob Engwerda, 2017. "A Numerical Algorithm to Calculate the Unique Feedback Nash Equilibrium in a Large Scalar LQ Differential Game," Dynamic Games and Applications, Springer, vol. 7(4), pages 635-656, December.
    6. Kareeva, Yulia & Sedakov, Artem & Zhen, Mengke, 2023. "Influence in social networks with stubborn agents: From competition to bargaining," Applied Mathematics and Computation, Elsevier, vol. 444(C).

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