Dynamic hierarchical play two persons in programme strategy and their exhibits
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 2, pp. 82-104.

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The private classes of the differential hierarchical games of two players in programming strategies are considered in this article. Their interpretation is given as models to corruptions and controls of the sustainable development in hierarchical systems. The optimum principles for these classes of the games as modifications of the Stackelberg balance are formulate. The algorithms of the construction balance of these games are offered. These algorithms are approved on numeric examples.
Keywords: dynamic games, hierarchical systems, Stackelberg balance, sustainable development.
Mots-clés : corruption
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Gennady A. Ougolnitsky; Anatoliy B. Usov. Dynamic hierarchical play two persons in programme strategy and their exhibits. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 2, pp. 82-104. http://geodesic.mathdoc.fr/item/MGTA_2013_5_2_a3/

[1] Gorelik V. A., Gorelov M. A., Kononenko A. F., Analiz konfliktnykh situatsii v sistemakh upravleniya, Radio i svyaz, M., 1991 | MR | Zbl

[2] Zenkevich N. A., Petrosyan L. A., Yang D. V. K., Dinamicheskie igry i ikh prilozheniya v menedzhmente, Izd-vo “Vysshaya shkola menedzhmenta”, SPb., 2009

[3] Petrosyan L. A., Zenkevich N. A., Shevkoplyas E. V., Teoriya igr, “BKhV-Peterburg”, SPb., 2012

[4] Ugolnitskii G. A., Ierarkhicheskoe upravlenie ustoichivym razvitiem, Izd-vo fiziko-matematicheskoi literatury, M., 2010

[5] Ugolnitskii G. A., Usov A. B., “Ustoichivoe razvitie sistem upravleniya s uchetom korruptsii”, Matematicheskaya teoriya igr i ee prilozheniya, 2:4 (2010), 106–119

[6] Ugolnitskii G. A., Usov A. B., “Issledovanie differentsialnykh modelei ierarkhicheskikh sistem upravleniya posredstvom ikh diskretizatsii”, Avtomatika i telemekhanika, 2013, no. 2, 109–123 | Zbl

[7] Balafoutas L., “Public beliefs and corruption in a repeated psychological game”, Journal of Economic Behavior and Organization, 78 (2011), 51–59 | DOI

[8] Basar T., Olsder G. J., Dynamic Noncooperative Game Theory, SIAM, Philadelphia, 1999 | MR

[9] Basu K., Bhattacharya S., Mishra A., “Notes on bribery and the control of corruption”, Journal of Public Economics, 48 (1992), 349–359 | DOI

[10] Bhattacharya S., Hodler R., “Natural resources, bureaucracy and corruption”, European Economic Review, 54 (2010), 608–621 | DOI

[11] Blackburn K., Forgues-Puccio G. F., “Financial liberalization, bureaucratic corruption and economic development”, Journal of International Money and Finance, 29 (2010), 1321–1339 | DOI

[12] Cerqueti R., Coppier R., “Economic growth, corruption and tax evasion”, Economic Modeling, 28 (2011), 489–500 | DOI

[13] Lambert-Mogiliansky A., Majumdar M., Radner R., “Strategic analysis of petty corruption: Entrepreneurs and bureaucrats”, Journal of Development Economics, 83 (2007), 351–367 | DOI

[14] Olsen T. E., Torsvik G., “Collusion and Renegotiations in Hierarchies: A Case of Beneficial Corruption”, International Economic Review, 39:2 (1998), 143–157 | DOI

[15] Ougolnitsky G., “Game theoretic formalization of the concept of sustainable development in the hierarchical control systems”, Annals of Operations Research, 2012 | DOI

[16] Yang D., “Corruption by monopoly: Bribery in Chinese enterprise licensing as a repeated bargaining game”, China Economic Review, 16 (2005), 171–188 | DOI