A note on a class of equilibrium problems with equilibrium constraints

Jiří V. Outrata

Kybernetika (2004)

  • Volume: 40, Issue: 5, page [585]-594
  • ISSN: 0023-5954

Abstract

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The paper concerns a two-level hierarchical game, where the players on each level behave noncooperatively. In this way one can model eg an oligopolistic market with several large and several small firms. We derive two types of necessary conditions for a solution of this game and discuss briefly the possibilities of its computation.

How to cite

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Outrata, Jiří V.. "A note on a class of equilibrium problems with equilibrium constraints." Kybernetika 40.5 (2004): [585]-594. <http://eudml.org/doc/33721>.

@article{Outrata2004,
abstract = {The paper concerns a two-level hierarchical game, where the players on each level behave noncooperatively. In this way one can model eg an oligopolistic market with several large and several small firms. We derive two types of necessary conditions for a solution of this game and discuss briefly the possibilities of its computation.},
author = {Outrata, Jiří V.},
journal = {Kybernetika},
keywords = {hierarchical game; Nash equilibrium; stationarity conditions; hierarchical game; Nash equilibrium; stationarity condition},
language = {eng},
number = {5},
pages = {[585]-594},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A note on a class of equilibrium problems with equilibrium constraints},
url = {http://eudml.org/doc/33721},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Outrata, Jiří V.
TI - A note on a class of equilibrium problems with equilibrium constraints
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 5
SP - [585]
EP - 594
AB - The paper concerns a two-level hierarchical game, where the players on each level behave noncooperatively. In this way one can model eg an oligopolistic market with several large and several small firms. We derive two types of necessary conditions for a solution of this game and discuss briefly the possibilities of its computation.
LA - eng
KW - hierarchical game; Nash equilibrium; stationarity conditions; hierarchical game; Nash equilibrium; stationarity condition
UR - http://eudml.org/doc/33721
ER -

References

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Citations in EuDML Documents

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  1. René Henrion, Werner Römisch, On M -stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling
  2. René Henrion, Jiří Outrata, Thomas Surowiec, Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market
  3. Truong Q. Bao, Boris S. Mordukhovich, Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints
  4. René Henrion, Jiří Outrata, Thomas Surowiec, Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market

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