Arbeitspapier

Oligopoly with Hyperbolic Demand: A Differential Game Approach

It is well known that the equilibrium solution of oligopoly games with isoelastic demand functions can be indeterminate. I revisit this issue through an open-loop differential game approach based on the assumption of sticky prices, to show that indeterminacy arises only in steady state, in the limit case where marginal costs tend to zero. Otherwise, at any time during the game, Pontryagin's Maximum Principle ensures the existence of a unique and well defined solution, irrespective of the size of marginal costs. Finally, I show that an analogous result holds in the feedback case, although the Bellman equation of the representative firm cannot be solved analytically.

Sprache
Englisch

Erschienen in
Series: Quaderni - Working Paper DSE ; No. 597

Klassifikation
Wirtschaft

Ereignis
Geistige Schöpfung
(wer)
Lambertini, Luca
Nitze, Paul H.
Ereignis
Veröffentlichung
(wer)
Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE)
(wo)
Bologna
(wann)
2007

DOI
doi:10.6092/unibo/amsacta/4685
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

  • Lambertini, Luca
  • Nitze, Paul H.
  • Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE)

Entstanden

  • 2007

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