Nonlinear Cournot and Bertrand-type dynamic triopoly with differentiated products and heterogeneous expectations

Mathematics and Computers in Simulation - Tập 132 - Trang 86-99 - 2017
J. Andaluz1, A.A. Elsadany2, G. Jarne1
1Department of Economic Analysis, University of Zaragoza, Zaragoza, Spain
2Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt

Tài liệu tham khảo

Agiza, 2003, Nonlinear dynamics in the Cournot duopoly game with heterogeneous players, Physica A, 320, 512, 10.1016/S0378-4371(02)01648-5 Agiza, 2004, Chaotic dynamics in nonlinear duopoly game with heterogeneous players, Appl. Math. Comput., 149, 843, 10.1016/S0096-3003(03)00190-5 Agliari, 2002, Global bifurcations of basins in a triopoly game, Int. J. Bifurc. Chaos, 12, 2175, 10.1142/S0218127402005789 Ahmed, 1998, Dynamics of a Cournot game with n-competitors, Chaos Solitons Fractals, 9, 1513, 10.1016/S0960-0779(97)00131-8 Ahmed, 2015, On Bertrand duopoly game with differentiated goods, Appl. Math. Comput., 251, 169, 10.1016/j.amc.2014.11.051 Andaluz, 2015, On the dynamics of economic games based on product differentiation, Math. Comput. Simulation, 113, 16, 10.1016/j.matcom.2015.02.005 Bertrand, 1883, Révue de la Théorie Mathématique de la Richesse Sociale et des Recherches sur les Principles Mathématiques de la Théorie des Richesses, J. des Savants, 499 Bischi, 2000, Global analysis of a dynamic duopoly game with bounded rationality, vol. 5 Bischi, 2001, Equilibrium selection in a nonlinear duopoly game with adaptive expectations, J. Econ. Behav. Organ., 46, 73, 10.1016/S0167-2681(01)00188-3 Bowley, 1924 Cánovas, 2012, Reducing competitors in Cournot–Puu oligopoly, Nonlinear Anal. RWA, 13, 1772, 10.1016/j.nonrwa.2011.12.007 Chamberlin, 1933 Cournot, 1838 Dixit, 1986, Comparative Statics in Oligopoly, Int. Econ. Rev., 27, 107, 10.2307/2526609 Elsadany, 2013, Complex dynamics and chaos control of heterogeneous quadropoly game, Appl. Math. Comput., 219, 11110, 10.1016/j.amc.2013.05.029 Fanti, 2012, The dynamics of a differentiated duopoly with quantity competition, Econ. Model., 29, 421, 10.1016/j.econmod.2011.11.010 Gandolfo, 2010 Hotelling, 1929, Stability in competition, Econom. J., 39, 41 Okuguchi, 1970, Adaptive expectations in an oligopoly model, Rev. Econom. Stud., 37, 233, 10.2307/2296415 Puu, 1996, The complex dynamics with three oligopolists, Chaos Solitons Fractals, 7, 2075, 10.1016/S0960-0779(96)00073-2 Puu, 2008, On the stability of Cournot equilibrium when the number of competitors increases, J. Econ. Behav. Organ., 66, 445, 10.1016/j.jebo.2006.06.010 Singh, 1984, Price and quantity competition in a differentiated duopoly, Rand J. Econ., 15, 546, 10.2307/2555525 Spiegler, 2014 Theocharis, 1960, On the stability of the Cournot solution on the oligopoly problem, Rev. Econom. Stud., 27, 133, 10.2307/2296135 Tirole, 1988 Tramontana, 2010, Heterogeneous duopoly with isoelastic demand function, Econ. Model., 27, 350, 10.1016/j.econmod.2009.09.014 Tramontana, 2015, Local stability of the Cournot solution with increasing heterogeneous competitors, Nonlinear Anal. RWA, 26, 150, 10.1016/j.nonrwa.2015.05.005 Wu, 2010, Complex nonlinear dynamics and controlling chaos in a Cournot duopoly economic model, Nonlinear Anal. RWA, 11, 4363, 10.1016/j.nonrwa.2010.05.022