GLOBAL BIFURCATIONS OF BASINS IN A TRIOPOLY GAME

DOI10.1142/S0218127402005789zbMath1043.37514OpenAlexW2150778261MaRDI QIDQ4736289

Tönu Puu, Laura Gardini, Anna Agliari

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005789

zbMATH Keywords

mathematical economicsCournot modeloligopoly theorylocal stability analysiscritical surfacesbasin bifurcationssubcritical Neimark bifurcationThree-dimensional map

Mathematics Subject Classification ID

Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Auctions, bargaining, bidding and selling, and other market models (91B26) Dynamic games (91A25) Dynamical systems in optimization and economics (37N40) Low-dimensional dynamical systems (37E99) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (6)

Heterogeneous triopoly game with isoelastic demand function ⋮ Oligopoly model with recurrent renewal of capital revisited ⋮ Nonlinear Cournot and Bertrand-type dynamic triopoly with differentiated products and heterogeneous expectations ⋮ Dynamics of Hotelling triopoly model with bounded rationality ⋮ Dynamic analysis and chaos control of Bertrand triopoly based on differentiated products and heterogeneous expectations ⋮ The dynamics of a triopoly Cournot game when the competitors operate under capacity constraints

Cites Work

• Chaos in duopoly pricing
• Exotic phenomena in games and duopoly models
• The dynamics of a tripoly Cournot game

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