An approach TO COMPARe ORGANIZATION MODES OF ACTIVE AGENTS and CONTROL METHODS
- 作者: Ougolnitsky G.A1
-
隶属关系:
- Southern Federal University
- 期: 编号 3 (2022)
- 页面: 29-39
- 栏目: Control in Social and Economic Systems
- URL: https://journal-vniispk.ru/1819-3161/article/view/350863
- DOI: https://doi.org/10.25728/pu.2022.3.3
- ID: 350863
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详细
When interacting, active agents can behave independently, cooperate, or have hierarchical relations. In turn, a hierarchical impact may be exerted by administrative or economic methods with or without feedback. These organizational modes and control methods are systematically described based on game-theoretic models with different information structures without uncertainty. It seems crucial to compare the payoffs of separate agents quantitatively with social welfare under the organization modes and control methods. A methodology is proposed to build the systems of social and individual preferences in normal form games and determine shares when allocating the cooperative payoff. A system of relative efficiency indices is developed for detailed quantitative assessment. This methodology is illustrated by several Cournot oligopoly models.
作者简介
G. Ougolnitsky
Southern Federal University
编辑信件的主要联系方式.
Email: gaugolnickiy@sfedu.ru
Rostov-on-Don, Russia
参考
- Бурков В.Н., Новиков Д.А. Теория активных систем: состояние и перспективы. - М.: СИНТЕГ, 1999. - 128 с.
- Новиков Д.А. Теория управления организационными системами. - М.: Изд-во физ.-мат. лит., 2007. - 584 с.
- Гермейер Ю.Б. Введение в теорию исследования операций. - М.: Наука, 1971. - 384 с.
- Гермейер Ю.Б. Игры с непротивоположными интересами. - М.: Наука, 1976. - 328 с.
- Моисеев Н.Н. Элементы теории оптимальных систем. - М.: Наука, 1975. - 528 с.
- Кукушкин Н.С., Морозов В.В. Теория неантагонистических игр. - М.: МГУ, 1984. - 106 с.
- Горелик В.А., Горелов М.А., Кононенко А.Ф. Анализ конфликтных ситуаций в системах управления. - М.: Радио и связь, 1991. - 288 с.
- Laffont, J.-J., Martimort, D. The Theory of Incentives: The Principal-Agent Model. - Princeton University Press, 2002. - 421 р.
- Угольницкий Г.А. Управление устойчивым развитием активных систем. - Ростов-на-Дону: Изд-во Южного федерального ун-та, 2016. - 940 с.
- Угольницкий Г.А. Методология и прикладные задачи управления устойчивым развитием активных систем // Проблемы управления. - 2019. - № 2. - С. 19-29.
- Мазалов В.В. Математическая теория игр и приложения. - СПб.:Лань, 2010. - 448 с.
- Петросян Л.А., Зенкевич Н.А., Шевкопляс Е.В. Теория игр. - СПб.:БХВ-Петербург, 2011. - 432 с.
- Basar, T., Olsder, G.Y. Dynamic Non-Cooperative Game Theory. - SIAM, 1999. - 506 р.
- Differential Games in Economics and Management Science / Dockner E., Jorgensen S., Long N.V., Sorger G. - Cambridge: Cambridge University Press, 2000. - 382 р.
- Gorelov, M.A., Kononenko, A.F. Dynamic models of conflicts. III. Hierarchical games // Automation and Remote Control. - 2015. - Vol. 76, no. 2. - P. 264-277.
- Ougolnitsky, G.A., Usov, A.B.Computer Simulations as a Solution Method for Differential Games // Computer Simulations: Advances in Research and Applications. Eds. M.D. Pfeffer and E. Bachmaier. - N.-Y.: Nova Science Publishers, 2018. - P. 63-106.
- Algorithmic Game Theory. Ed. by N. Nisan, T. Roughgarden, E. Tardos, V. Vazirany. - Cambridge University Press, 2007. - 754 р.
- Dubey, P. Inefficiency of Nash equilibria // Math. Operations Research. - 1986. - No. 11(1). - Р. 1-8.
- Johari, R., Tsitsiklis, J.N. Efficiency loss in a network resource allocation game // Math. Oper. Res. - 2004. - No. 29(3). - Р. 407-435.
- Roughgarden, T. Selfish Routing and the Price of Anarchy. - MIT Press, 2005. - 240 p.
- Papadimitriou, C.H. Algorithms, games, and the Internet // Proc. 33rd Symp. Theory of Computing, 2001. - P. 749-753.
- Basar, T., Zhu,Q. Prices of Anarchy, Information, and Cooperation in Differential Games // Dynamic Games and Applications. - 2011. - No. 1(1). - P. 50-73.
- Dahmouni, I., Vardar, B., Zaccour, G. A fair and time-consistent sharing of the joint exploitation payoff of a fishery // Natural Resource Modeling. - 2019. - 32(2). -e12216.
- Zhang, W., Zhao, S., Wan, X. Industrial digital transformation strategies based on differential games // Applied Mathematical Modeling. - 2021. - Vol.98. - P.90-108.
- Sharma, A., Jain, D. Game-Theoretic Analysis of Green Supply Chain Under Cost-Sharing Contract with Fairness Concerns // International Game Theory Review. - 2021. - Vol. 23. - No.2. - 2050017. (32 p.)
- Мулен Э. Кооперативное принятие решений: Аксиомы и модели. - М.: Мир, 1991. - 464 с.
- von Neumann, J., Morgenstern, O. Theory of Games and Economic Behavior. - Princeton University Press, 1953. - 625 p.
- Petrosjan, L., Zaccour, G. Time-consistent Shapley value allocation of pollution cost reduction //j. of Economic Dynamics and Control. - 2003. - Vol. 27, no. 3. - P. 381-398.
- Gromova, E.V., Petrosyan L.A. On an approach to constructing a characteristic function in cooperative differential games // Automation and Remote Control. - 2017. - Vol. 78. - P. 1680-1692.
- Shapley, L. A Value for n-person Games. Santa Monica, CA: The RAND Corporation, 1952.
- Мулен Э. Теория игр с примерами из математической экономики. - М.:Мир, 1985. - 200 с.
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