The Structure of Unstable Power Systems
AbstractA 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.
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Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00392515.
Date of creation: May 2009
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Interaction form; effectivity function; stability index; Nash equilibrium; strong equilibrium; solvability; acyclicity; Nakamura number; collusion;
Other versions of this item:
- Joseph Abdou, 2009. "The Structure of Unstable Power Systems," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00389181, HAL.
- Joseph Abdou, 2009. "The Structure of Unstable Power Systems," Documents de travail du Centre d'Economie de la Sorbonne 09042, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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