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On Sorger game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 3, pp. 115-119 Cet article a éte moissonné depuis la source Math-Net.Ru

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This note is the correct version of [2, Example 6.2]. This example was devoted to Sorger game, the nonlinear modification of the Lanchester model of competition of two firms.
Keywords: Nash equilibrium, differential games, infinite horizon problem, open-loop strategy. 
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Dmitry V. Khlopin. On Sorger game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 3, pp. 115-119. http://geodesic.mathdoc.fr/item/MGTA_2013_5_3_a5/

[1] Aseev S. M., Kryazhimskii A. V., Besov K. O., “Zadachi optimalnogo upravleniya na beskonechnom promezhutke vremeni v ekonomike”, UMN, 67:2(404) (2012), 3–64 | DOI | MR | Zbl

[2] Khlopin D. V., “Neobkhodimye usloviya ravnovesiya na beskonechnom promezhutke”, Matematicheskaya teoriya igr i ee prilozheniya, 5:2 (2013), 105–136 | Zbl

[3] Khlopin D. V., Necessity of vanishing shadow price in infinite horizon control problems, arXiv: 1207.5358 | MR

[4] Sorger G., “Competitive dynamic advertising: A modification of the Case game”, J. Economic Dynamics and Control, 13 (1989), 55–80 | DOI | MR | Zbl