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Pré-Publication, Document De Travail Année : 2009

The Structure of Unstable Power Systems

Résumé

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, subadditivity 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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Dates et versions

halshs-00389181 , version 1 (28-05-2009)

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  • HAL Id : halshs-00389181 , version 1

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Joseph M. Abdou. The Structure of Unstable Power Systems. 2009. ⟨halshs-00389181⟩
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