Effects of fixed and continuously distributed delays in a monopoly model with constant price elasticity

Luca Guerrini (), Nicolò Pecora () and Mauro Sodini ()
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Luca Guerrini: Polytechnic University of Marche
Nicolò Pecora: Catholic University
Mauro Sodini: University of Pisa

Decisions in Economics and Finance, 2018, vol. 41, issue 2, No 8, 239-257

Abstract: Abstract In this paper, we analyze the dynamics of a monopoly model with constant elasticity in which the monopolist faces a form of bounded rationality due to limited accessibility to information. We assume the firm adopts a gradient mechanism to adjust the output level, and we investigate how the introduction of fixed and continuously distributed delays within the resulting continuous-time system may affect the long-run dynamics. We find that the stability of the equilibrium depends on the weighting function adopted to model continuously distributed delays, and the convergence of the realized output toward the steady state is crucially affected by the choice of the delay type which, in turn, reflects the availability and the weight assigned to information. Indeed, depending on the assumptions on modeling delays, the equilibrium point may undergo a Hopf bifurcation after which a limit cycle arises.

Keywords: Monopoly; Time delays; Fixed and continuously distributed delays; Hopf bifurcation; Bounded rationality (search for similar items in EconPapers)
JEL-codes: C02 C62 D42 D84 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10203-018-0222-3

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