Arbeitspapier

Complex dynamics in a nonlinear duopoly model with heuristic expectation formation and learning behavior

We develop a nonlinear duopoly model in which the heuristic expectation formation and learning behavior of two boundedly rational firms may engender complex dynamics. Most importantly, we assume that the firms employ different forecasting models to predict the behavior of their opponent. Moreover, the firms learn by leaning more strongly on forecasting models that yield more precise predictions. An eight-dimensional nonlinear map drives the dynamics of our approach. We analytically derive the conditions under which its unique steady state is locally stable and numerically study its out-of-equilibrium behavior. In doing so, we detect multiple scenarios with coexisting attractors at which the firms' behavior yields distinctively different market outcomes.

ISBN
978-3-949224-08-9
Sprache
Englisch

Erschienen in
Series: BERG Working Paper Series ; No. 187

Klassifikation
Wirtschaft
Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
Market Structure, Pricing, and Design: Oligopoly and Other Forms of Market Imperfection
Monopoly; Monopolization Strategies
Thema
Duopoly model
heuristic expectation formation
learning behavior
nonlinear dynamics
stability and bifurcation analysis
coexisting attractors

Ereignis
Geistige Schöpfung
(wer)
Mignot, Sarah
Tramontana, Fabio
Westerhoff, Frank H.
Ereignis
Veröffentlichung
(wer)
Bamberg University, Bamberg Economic Research Group (BERG)
(wo)
Bamberg
(wann)
2023

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Mignot, Sarah
  • Tramontana, Fabio
  • Westerhoff, Frank H.
  • Bamberg University, Bamberg Economic Research Group (BERG)

Entstanden

  • 2023

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