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
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978-3-949224-08-9
- Sprache
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Englisch
- Erschienen in
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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
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Duopoly model
heuristic expectation formation
learning behavior
nonlinear dynamics
stability and bifurcation analysis
coexisting attractors
- Ereignis
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Geistige Schöpfung
- (wer)
-
Mignot, Sarah
Tramontana, Fabio
Westerhoff, Frank H.
- Ereignis
-
Veröffentlichung
- (wer)
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Bamberg University, Bamberg Economic Research Group (BERG)
- (wo)
-
Bamberg
- (wann)
-
2023
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:43 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Mignot, Sarah
- Tramontana, Fabio
- Westerhoff, Frank H.
- Bamberg University, Bamberg Economic Research Group (BERG)
Entstanden
- 2023