Cooperation versus noncooperation: Cournot duopolistic game based on delay and time-dependent parameters

被引:11
作者
Askar, S. S. [1 ,2 ]
Alnowibet, K. [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
Non-cooperation; Cooperation; Tit-for-tat; Stability; Bifurcation; DYNAMICS; POPULATIONS; DISCRETE;
D O I
10.1016/j.chaos.2016.08.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The current paper introduces a discussion between two different scenarios of Cournot games. Based on parameters time-dependent, a price function and discrete time scale are used to establish two Cournot models. The first model which we call it the non-cooperative model portrays a competition between two firms. On the other hand, the second model that is called the cooperative model is constructed based on the tit-for-tat mechanism. For the two models, analytical and numerical studies are performed to show the comparison between them. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:580 / 584
页数:5
相关论文
共 27 条
[1]   Chaotic dynamics in nonlinear duopoly game with heterogeneous players [J].
Agiza, HN ;
Elsadany, AA .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :843-860
[2]   Nonlinear dynamics in the Cournot duopoly game with heterogeneous players [J].
Agiza, HN ;
Elsadany, AA .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 320 :512-524
[3]  
Agiza HN, 2013, J CHAOS, V2013
[4]   Evolutionary mixed games in structured populations: Cooperation and the benefits of heterogeneity [J].
Amaral, Marco A. ;
Wardil, Lucas ;
Perc, Matjaz ;
da Silva, Jafferson K. L. .
PHYSICAL REVIEW E, 2016, 93 (04)
[5]  
[Anonymous], 2006, The Evolution of Cooperation
[6]   The arising of cooperation in Cournot duopoly games [J].
Askar, S. S. ;
Alshamrani, Ahmad M. ;
Alnowibet, K. .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 :535-542
[7]   Analysis of Nonlinear Duopoly Game: A Cooperative Case [J].
Askar, S. S. ;
Alshamrani, Ahmad M. ;
Alnowibet, K. .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[8]   The structure and dynamics of multilayer networks [J].
Boccaletti, S. ;
Bianconi, G. ;
Criado, R. ;
del Genio, C. I. ;
Gomez-Gardenes, J. ;
Romance, M. ;
Sendina-Nadal, I. ;
Wang, Z. ;
Zanin, M. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2014, 544 (01) :1-122
[9]   Dynamical systems and the arising of cooperation in a Cournot duopoly [J].
Cafagna, V ;
Coccorese, P .
CHAOS SOLITONS & FRACTALS, 2005, 25 (03) :655-664