- Title
- Mean Field LQ Games with a Finite Number of Agents
- Creator
- Wang, Bing-Chang; Zhang, Huanshui; Fu, Miinyue
- Relation
- 2020 16th International Conference on Control, Automation, Robotics and Vision (ICARCV). Proceedings of the 16th International Conference on Control, Automation, Robotics and Vision (ICARCV) (Shenzhen, China 13-15 December, 2020) p. 73-78
- Publisher Link
- http://dx.doi.org/10.1109/ICARCV50220.2020.9305419
- Publisher
- Institute for Electronics and Electrical Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2020
- Description
- In this paper, we are concerned with a new class of mean field games which involve a finite number of agents. With help of conditional mathematical expectation, we obtain necessary and sufficient conditions for the existence of the decentralized open-loop Nash equilibrium for finite-population games. By decoupling a non-standard forward-backward stochastic differential equation, we design a set of decentralized strategies in term of two differential Riccati equations. Instead of the s-Nash equilibrium, the set of decentralized strategies is shown be a Nash equilibrium. Furthermore, we examine the infinite-horizon problem and give a neat condition for solvability of the related algebraic Riccati equation.
- Subject
- games; Nash equilibrium; statistics; sociology; Riccati equations
- Identifier
- http://hdl.handle.net/1959.13/1438845
- Identifier
- uon:40742
- Identifier
- ISBN:9781728177090
- Language
- eng
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