Cournot oligopoly with randomly arriving producers

Pierre Bernhard and Marc Deschamps
Additional contact information
Pierre Bernhard: BIOCORE - Biological control of artificial ecosystems - LOV - Laboratoire d'océanographie de Villefranche - OOVM - Observatoire océanologique de Villefranche-sur-mer - UPMC - Université Pierre et Marie Curie - Paris 6 - INSU - CNRS - Institut national des sciences de l'Univers - CNRS - Centre National de la Recherche Scientifique - UPMC - Université Pierre et Marie Curie - Paris 6 - INSU - CNRS - Institut national des sciences de l'Univers - CNRS - Centre National de la Recherche Scientifique - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique - INRA - Institut National de la Recherche Agronomique

Working Papers from HAL

Abstract: Cournot model of oligopoly appears as a central model of strategic interaction between competing firms both from a theoretical and applied perspective (e.g antitrust). As such it is an essential tool in the economics toolbox and always a stimulus. Although there is a huge and deep literature on it and as far as we know, we think that there is a "mouse hole" wich has not already been studied: Cournot oligopoly with randomly arriving producers. In a companion paper [Bernhard and Deschamps, 2016b] we have proposed a rather general model of a discrete dynamic decision process where producers arrive as a Bernoulli random process and we have given some examples relating to oligopoly theory (Cournot, Stackelberg, cartel). In this paper we study Cournot oligopoly with random entry in discrete (Bernoulli) and continuous (Poisson) time, whether time horizon is finite or infinite. Moreover we consider here constant and variable probability of entry or density of arrivals. In this framework, we are able to provide algorithmes answering four classical questions: 1/ what is the expected profit for a firm inside the Cournot oligopoly at the beginning of the game?, 2/ How do individual quantities evolve?, 3/ How do market quantities evolve?, and 4/ How does market price evolve?

Keywords: Cournot market structure; Bernoulli process of entry; Poisson density of arrivals; Dynamic Programming (search for similar items in EconPapers)
Date: 2016-11-01
New Economics Papers: this item is included in nep-com, nep-ind and nep-mic
Note: View the original document on HAL open archive server: https://hal.science/hal-01413910v1
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://hal.science/hal-01413910v1/document (application/pdf)

Related works:
Working Paper: Cournot oligopoly with randomly arriving producers (2016)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:wpaper:hal-01413910

Access Statistics for this paper

More papers in Working Papers from HAL
Bibliographic data for series maintained by CCSD ().