Coalitional Solution in a Game Theoretic Model of Territorial Environmental Production
Contributions to game theory and management, Tome 6 (2013), pp. 231-247.

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A game-theoretic model of territorial environmental production under Cournot competition is studied. The process is modeled as cooperative differential game with coalitional structure. The Nash equilibrium in the game played by coalitions is computed and then the value of each coalition is allocated according to some given mechanism between its members. The numerical example is given.
Keywords: optimal control, nonlinear system, dynamic programming.
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Nadezhda V. Kozlovskaia. Coalitional Solution in a Game Theoretic Model of Territorial Environmental Production. Contributions to game theory and management, Tome 6 (2013), pp. 231-247. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a16/

[1] Albizur M., Zarzuelo J., “On coalitional semivalues”, Games and Economic Behaviour, 2 (2004), 221–243 | DOI | MR | Zbl

[2] Bloch F., “Sequantal formation of coalitions with fixed payoff division”, Games and Economic Behaviour, 14 (1966), 90–123 | DOI | MR

[3] Demsetz H., “Toward a theory of property rights”, The American Economic Review, 57:2 (1967), 347–359

[4] Dockner E. J., Jørgensen S., Van Long N., Sorger G., Differential Games in Economics and Management Science, Cambridge University Press, Cambridge, 2000, 485 pp. | MR | Zbl

[5] Kozlovskaya N., Petrosyan L., Zenkevich N., “Coalitional Solution of a Game-Theoretic Emission Reduction Model”, International Game Theory Review, 12:3 (2010), 275–286 | DOI | MR | Zbl

[6] Nash J. F., “Equilibrium points in $n$-person games”, Proc. Nat. Acad. Sci. USA, 36 (1950), 48–49 | DOI | MR | Zbl

[7] Owen G., “Values of games with a priory unions”, Mathematical Economy and Game Theory, eds. R. Henn, O. Moeschlin, Berlin, 1997, 78–88

[8] Petrosyan L., Mamkina S., “Dynamic games with coalitional structures”, Intern. Game Theory Review, 8:2 (2006), 295–307 | DOI | MR

[9] Petrosyan L., Zaccour G., “Time-consistent Shapley value allocation of pollution cost reduction”, J. of Economic Dynamics and Control, 27 (2003), 381–398 | DOI | MR

[10] Shapley L. S., “A value for $n$-person games”, Contributions to the Theory of Games, II, Princeton University Press, Princeton, 1953, 57–69 | MR

[11] Zenkevich N., Kozlovskaya N., “Stable Cooperation under Environmental Constrains”, International Game Theory Review, 12:4 (2010), 453–470 | DOI | MR | Zbl