Irreversible investment in oligopoly

Arbeitspapier

We offer a new perspective on games of irreversible investment under uncertainty in continuous time. The basis is a particular approach to solve the involved stochastic optimal control problems which allows to establish existence and uniqueness of an oligopolistic open loop equilibrium in a very general framework without reliance on any Markovian property. It simultaneously induces quite natural economic interpretation and predictions by its characterization of optimal strategies through first order conditions. The construction of equilibrium policies is then enabled by a stochastic representation theorem. A stepwise specification of the general model leads to further economic conclusions. We obtain explicit solutions for Lévy processes.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Working Papers ; No. 415

Classification and Topics

• Classification: Wirtschaft ; Stochastic and Dynamic Games; Evolutionary Games; Repeated Games ; Market Structure, Pricing, and Design: Oligopoly and Other Forms of Market Imperfection
• Subject: Irreversible investment ; Stochastic game ; Oligopoly ; Real options ; Equilibrium ; Irreversibility of Investment ; Stochastisches Spiel ; Realoption ; Kontrolltheorie ; Oligopol ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Steg, Jan-Henrik
• Event: Veröffentlichung
• (who): Bielefeld University, Institute of Mathematical Economics (IMW)
• (where): Bielefeld
• (when): 2009

Further information

• Handle: http://hdl.handle.net/10419/43793
• URN: urn:nbn:de:hbz:361-14605
• Last update: 10.03.2025, 11:44 AM CET