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Pré-Publication, Document De Travail Année : 2018

A Qualitative Theory of Conflict Resolution and Political Compromise

Résumé

We view political activity as an interaction between forces seeking to achieve a political agenda. The viability of a situation depends on the compatibility of such agendas. However even in a conflictual situation a compromise may be possible. Mathematically a political structure is modeled as a simplicial complex and a viable configuration as a simplex. A represented compromise is a viable configuration obtained by the withdrawal of some agents in favor of some friendly representatives. A delegated compromise is a sophisticated version of a compromise obtained by the iteration of the withdrawal process. Existence of such solutions depends on the discrete topology of the simplicial complex. In particular we prove that the existence of a delegated compromise is equivalent to the strong contractibility of the simplicial complex.
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Dates et versions

hal-01796062 , version 1 (19-05-2018)

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  • HAL Id : hal-01796062 , version 1

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Joseph M. Abdou, Hans Keiding. A Qualitative Theory of Conflict Resolution and Political Compromise. 2018. ⟨hal-01796062⟩
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