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Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers

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  • Nie, Pu-yan
  • Chen, Li-hua
  • Fukushima, Masao

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  • Nie, Pu-yan & Chen, Li-hua & Fukushima, Masao, 2006. "Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers," European Journal of Operational Research, Elsevier, vol. 169(1), pages 310-328, February.
    • Handle: RePEc:eee:ejores:v:169:y:2006:i:1:p:310-328
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    References listed on IDEAS

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    1. G.H. Lin & M. Fukushima, 2003. "New Relaxation Method for Mathematical Programs with Complementarity Constraints," Journal of Optimization Theory and Applications, Springer, vol. 118(1), pages 81-116, July.
    2. Chen, Baoline & Zadrozny, Peter A., 2002. "An anticipative feedback solution for the infinite-horizon, linear-quadratic, dynamic, Stackelberg game," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1397-1416, August.
    3. Ambler, Steve & Paquet, Alain, 1997. "Recursive methods for computing equilibria of general equilibrium dynamic Stackelberg games," Economic Modelling, Elsevier, vol. 14(2), pages 155-173, April.
    4. Holger Scheel & Stefan Scholtes, 2000. "Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 1-22, February.
    5. Fruchter, Gila E. & Messinger, Paul R., 2003. "Optimal management of fringe entry over time," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 445-466, December.
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    Cited by:

    1. Julien, Ludovic A., 2017. "On noncooperative oligopoly equilibrium in the multiple leader–follower game," European Journal of Operational Research, Elsevier, vol. 256(2), pages 650-662.
    2. D. W. K. Yeung & L. A. Petrosyan, 2011. "Subgame Consistent Cooperative Solution of Dynamic Games with Random Horizon," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 78-97, July.
    3. Wernz, Christian & Deshmukh, Abhijit, 2012. "Unifying temporal and organizational scales in multiscale decision-making," European Journal of Operational Research, Elsevier, vol. 223(3), pages 739-751.
    4. Richárd Kicsiny, 2017. "Solution for a class of closed-loop leader-follower games with convexity conditions on the payoffs," Annals of Operations Research, Springer, vol. 253(1), pages 405-429, June.
    5. Matthias Pilz & Luluwah Al-Fagih, 2020. "A Dynamic Game Approach for Demand-Side Management: Scheduling Energy Storage with Forecasting Errors," Dynamic Games and Applications, Springer, vol. 10(4), pages 897-929, December.
    6. Yifen Mu, 2014. "Inverse Stackelberg Public Goods Game with Multiple Hierarchies Under Global and Local Information Structures," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 332-350, October.
    7. Kicsiny, R. & Varga, Z. & Scarelli, A., 2014. "Backward induction algorithm for a class of closed-loop Stackelberg games," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1021-1036.
    8. Nuno Faísca & Pedro Saraiva & Berç Rustem & Efstratios Pistikopoulos, 2009. "A multi-parametric programming approach for multilevel hierarchical and decentralised optimisation problems," Computational Management Science, Springer, vol. 6(4), pages 377-397, October.
    9. Marius Jurgilas, 2007. "Monetary Policy Under a Currency Board," Working papers 2007-34, University of Connecticut, Department of Economics.
    10. Wernz, Christian & Deshmukh, Abhijit, 2010. "Multiscale decision-making: Bridging organizational scales in systems with distributed decision-makers," European Journal of Operational Research, Elsevier, vol. 202(3), pages 828-840, May.

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