## Complementarity Modeling in Energy MarketsThis addition to the ISOR series introduces complementarity models in a straightforward and approachable manner and uses them to carry out an in-depth analysis of energy markets, including formulation issues and solution techniques. In a nutshell, complementarity models generalize: A natural question is why concentrate on energy markets for this complementarity approach? As it turns out, energy or other markets that have game theoretic aspects are best modeled by complementarity problems. The reason is that the traditional perfect competition approach no longer applies due to deregulation and restructuring of these markets and thus the corresponding optimization problems may no longer hold. Also, in some instances it is important in the original model formulation to involve both primal variables (e.g., production) as well as dual variables (e.g., market prices) for public and private sector energy planning. Traditional optimization problems can not directly handle this mixing of primal and dual variables but complementarity models can and this makes them all that more effective for decision-makers. |

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### Contents

1 | |

Chapter 2 Optimality and Complementarity | 31 |

Chapter 3 Some Microeconomic Principles | 71 |

Chapter 4 Equilibria and Complementarity Problems | 127 |

Chapter 5 Variational Inequality Problems | 180 |

Chapter 6 Optimization Problems Constrained by Optimization Problems | 221 |

Chapter 7 Equilibrium Problems with Equilibrium Constraints | 263 |

Chapter 8 Algorithms for LCPs NCPs and VIs | 323 |

Chapter 11 Electricity and Environmental Markets | 477 |

Chapter 12 Multicommodity Equilibrium Models Accounting for DemandSide Linkages | 515 |

Appendix A Convex Sets and Functions | 561 |

Appendix B GAMS codes | 570 |

Appendix C DC Power Flow | 607 |

Appendix D Natural Gas Engineering Considerations | 612 |

List of Tables | 618 |

623 | |

### Other editions - View all

Complementarity Modeling in Energy Markets Steven A. Gabriel,Antonio J. Conejo,J. David Fuller,Benjamin F. Hobbs,Carlos Ruiz No preview available - 2014 |

Complementarity Modeling in Energy Markets Steven A. Gabriel,Antonio J. Conejo,J. David Fuller,Benjamin F. Hobbs,Carlos Ruiz No preview available - 2012 |