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 2

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/.2013.25How to use a DOI?
Keywords
Consistent Conjectural Variations Equilibrium, Partially Mixed Oligopoly
Abstract
In this paper, a model of partially mixed oligopoly with conjectured variations equilibrium (CVE) is studied. The agents make conjectures concerning the price variations depending upon their production output’s fluctuations. Existence and uniqueness results for the conjectured variations equilibrium (called an exterior equilibrium) is established for any collection of feasible conjectures. To deal with the concept of an interior (i.e., consistent) equilibrium, a consistency criterion for the influence coefficients is introduced and the existence theorem for the interior equilibrium (understood as a CVE with consistent conjectures) is established. As a base for the extension of the above-mentioned results to the case of non-differentiable demand functions, the behavior of the consistent conjectures as a function of a parameter representing the demand function’s derivative with respect to the market price is investigated.
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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/.2013.25How 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 2
BT  - Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
PB  - Atlantis Press
SP  - 207
EP  - 217
SN  - 1951-6851
UR  - https://doi.org/10.2991/.2013.25
DO  - https://doi.org/10.2991/.2013.25
ID  - Kalashnikov2013/10
ER  -