Proceedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support

Partially Mixed Duopoly and Oligopoly: Consistent Conjectural Variations Equilibrium (CCVE). Part 1

Authors
Vyacheslav V. Kalashnikov, Nataliya I. Kalashnykova, J. Fernando Camacho
Corresponding Author
Vyacheslav V. Kalashnikov
Available Online October 2013.
DOI
https://doi.org/10.2991/.2013.24How to use a DOI?
Keywords
Consistent Conjectural Variations Equilibrium, Partially Mixed Duopoly and Oligopoly
Abstract
In this paper, we consider a model of partially mixed duopoly with conjectured variations equilibrium (CVE). The agents’ conjectures concern the price variations depending upon their production output’s increase or decrease. We establish existence and uniqueness results for the conjectured variations equilibrium (called an exterior equilibrium) for any set of feasible conjectures. To introduce the notion of an interior equilibrium, we develop a consistency criterion for the conjectures (referred to as influence coefficients) and prove the existence theorem for the interior equilibrium (understood as a CVE with consistent conjectures). To prepare the base for the extension of our results to the case of non-differentiable demand functions, we also investigate the behavior of the consistent conjectures in dependence upon a parameter representing the demand function’s derivative with respect to the market price.
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Proceedings
Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
Part of series
Advances in Intelligent Systems Research
Publication Date
October 2013
ISBN
978-90-78677-86-4
ISSN
1951-6851
DOI
https://doi.org/10.2991/.2013.24How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Vyacheslav V. Kalashnikov
AU  - Nataliya I. Kalashnykova
AU  - J. Fernando Camacho
PY  - 2013/10
DA  - 2013/10
TI  - Partially Mixed Duopoly and Oligopoly: Consistent Conjectural Variations Equilibrium (CCVE). Part 1
BT  - Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
PB  - Atlantis Press
SP  - 198
EP  - 206
SN  - 1951-6851
UR  - https://doi.org/10.2991/.2013.24
DO  - https://doi.org/10.2991/.2013.24
ID  - Kalashnikov2013/10
ER  -