Geodesic
Differential games of R competition with switching dynamics
Contributions to game theory and management, Tome 17 (2024), pp. 38-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper investigates a differential game model of R competition, starting with a two-stage structure and then extending this structure to a generalized multi-stage model.The two-stage model captures distinct efficiency dynamics, and the Nash equilibrium analysis reveals optimal strategies for resource allocation. The multi-stage extension generalizes these insights, providing a broader view of firms' strategic adjustments. The study identifies these key properties: the consistent ratio of control efforts across different stages, the structural uniformity of Nash equilibrium strategies, and the continuity of these properties in multi-stage scenarios. These findings enhance the understanding of strategic behavior in competitive innovation environments.
Keywords: differetial game, R&D competition, optimal control. 
@article{CGTM_2024_17_a4,
     author = {Xiyue Huang},
     title = {Differential games of {R&D} competition with switching dynamics},
     journal = {Contributions to game theory and management},
     pages = {38--50},
     year = {2024},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2024_17_a4/}
}
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Xiyue Huang. Differential games of R&D competition with switching dynamics. Contributions to game theory and management, Tome 17 (2024), pp. 38-50. http://geodesic.mathdoc.fr/item/CGTM_2024_17_a4/

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