IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00392515.html
   My bibliography  Save this paper

The Structure of Unstable Power Systems

Author

Listed:
  • Joseph Abdou

    () (PSE - Paris School of Economics, CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne)

Abstract

A power system is modeled by an interaction form, the solution of which is called a settlement. By stability we mean the existence of some settlement for any preference profile. Like in other models of power structure, instability is equivalent to the existence of a cycle. Structural properties of the system like maximality, regularity, superadditivity and exactness are defined and used to determine the type of instability that may affect the system. A stability index is introduced. Loosely speaking this index measures the difficulty of the emergence of configurations that produce a deadlock. As applications we have a characterization of solvable game forms, an analysis of the structure of their instability and a localization of their stability index in case where solvability fails.

Suggested Citation

  • Joseph Abdou, 2009. "The Structure of Unstable Power Systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00392515, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00392515
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00392515
    as

    Download full text from publisher

    File URL: https://halshs.archives-ouvertes.fr/halshs-00392515/document
    Download Restriction: no

    Other versions of this item:

    More about this item

    Keywords

    Interaction form; effectivity function; stability index; Nash equilibrium; strong equilibrium; solvability; acyclicity; Nakamura number; collusion; Interaction; pouvoir; cycle; stabilité; équilibre de Nash; nombre de Nakamura;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00392515. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.