Nash Equilibria Detection for Discrete-Time Generalized Cournot Dynamic Oligopolies

被引:1
|
作者
Suciu, Mihai [1 ]
Gasko, Noemi [1 ]
Lung, Rodica Ioana [1 ]
Dumitrescu, D. [1 ]
机构
[1] Univ Babes Bolyai, R-3400 Cluj Napoca, Romania
关键词
OPTIMIZATION;
D O I
10.1007/978-3-319-01692-4_26
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The problem of equilibria detection of a discrete-time Generalized Cournot Dynamic Oligopoly is approached by using a Differential Evolution and a Particle Swarm Optimization algorithm adapted to compute and track the set of generalized Nash equilibria in a dynamic setting. Both challenges of this problem, i.e. to correctly compute the entire set of generalized Nash equilibria of the constrained (generalized) game, and also to cope with the dynamic character of the landscape, are dealt with by using a simple adaptive mechanism. Numerical experiments for settings up to 60 players are performed to illustrate the efficiency of the approach.
引用
收藏
页码:343 / 354
页数:12
相关论文
共 50 条
  • [1] The computation of dynamic cournot-nash traffic network equilibria in discrete time
    Byung-Wook Wie
    Keechoo Choi
    [J]. KSCE Journal of Civil Engineering, 2000, 4 (4) : 239 - 248
  • [2] Approximate Nash Equilibria for Discrete-Time Linear Quadratic Dynamic Games
    Nortmann, Benita
    Mylvaganam, Thulasi
    [J]. IFAC PAPERSONLINE, 2023, 56 (02): : 1760 - 1765
  • [3] New results on the existence of open loop Nash equilibria in discrete time dynamic games via generalized Nash games
    Mathew P. Abraham
    Ankur A. Kulkarni
    [J]. Mathematical Methods of Operations Research, 2019, 89 : 157 - 172
  • [4] New results on the existence of open loop Nash equilibria in discrete time dynamic games via generalized Nash games
    Abraham, Mathew P.
    Kulkarni, Ankur A.
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2019, 89 (02) : 157 - 172
  • [5] DETERMINISTIC MARKOV NASH EQUILIBRIA FOR POTENTIAL DISCRETE-TIME STOCHASTIC GAMES
    Fonseca-Morales, Alejandra
    [J]. KYBERNETIKA, 2022, 58 (02) : 163 - 179
  • [6] ON COURNOT-NASH EQUILIBRIA IN GENERALIZED QUALITATIVE GAMES WITH A CONTINUUM OF PLAYERS
    ALIKHAN, M
    PAPAGEORGIOU, NS
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (06) : 741 - 755
  • [7] FEEDBACK AND OPEN-LOOP NASH EQUILIBRIA FOR LQ INFINITE-HORIZON DISCRETE-TIME DYNAMIC GAMES
    Monti, Andrea
    Nortmann, Benita
    Mylvaganam, Thulasi
    Sassano, Mario
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2024, 62 (03) : 1417 - 1436
  • [8] Feedback Nash Equilibria for Scalar Two-Player Linear-Quadratic Discrete-Time Dynamic Games
    Nortmann, Benita
    Monti, Andrea
    Sassano, Mario
    Mylvaganam, Thulasi
    [J]. IFAC PAPERSONLINE, 2023, 56 (02): : 1772 - 1777
  • [9] DISCRETE TIME DYNAMIC OLIGOPOLIES WITH ADJUSTMENT CONSTRAINTS
    Burr, Chrystie
    Gardini, Laura
    Szidarovszky, Ferenc
    [J]. JOURNAL OF DYNAMICS AND GAMES, 2015, 2 (01): : 65 - 87
  • [10] Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications
    Singh, Shipra
    Gibali, Aviv
    Reich, Simeon
    [J]. MATHEMATICS, 2021, 9 (14)