Modelling socio-political competition

Willem Conradie; Alessandra Palmigiano; Claudette Robinson; Apostolos Tzimoulis; Nachoem Wijnberg

doi:10.1016/j.fss.2020.02.005

Modelling socio-political competition

Willem Conradie^*, Alessandra Palmigiano, Claudette Robinson, Apostolos Tzimoulis, Nachoem Wijnberg

^*Corresponding author for this work

Ethics, Governance and Society

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Abstract

This paper continues the investigation of the logic of competing theories (be they scientific, social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these structures and prove a completeness theorem. We illustrate the application of this logic through a case study in which we model competition among interacting political promises and social demands within an arena of political parties social groups.

Original language	English
Pages (from-to)	115-141
Number of pages	27
Journal	Fuzzy Sets and Systems
Volume	407
Early online date	14 Feb 2020
DOIs	https://doi.org/10.1016/j.fss.2020.02.005
Publication status	Published - 1 Mar 2021

Funding

The first author gratefully acknowledges the generous financial support of the Faculty of Science at the University of the Witwatersrand, Johannesburg .

Keywords

Competing theories
Graph-based semantics
Many-valued modal logic
Non distributive modal logic
Socio-political competition

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.fss.2020.02.005

Modelling sociopolitical competitionFinal published version, 413 KBLicence: Article 25fa Dutch Copyright Act

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title = "Modelling socio-political competition",

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AU - Conradie, Willem

AU - Palmigiano, Alessandra

AU - Robinson, Claudette

AU - Tzimoulis, Apostolos

AU - Wijnberg, Nachoem

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N2 - This paper continues the investigation of the logic of competing theories (be they scientific, social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these structures and prove a completeness theorem. We illustrate the application of this logic through a case study in which we model competition among interacting political promises and social demands within an arena of political parties social groups.

AB - This paper continues the investigation of the logic of competing theories (be they scientific, social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these structures and prove a completeness theorem. We illustrate the application of this logic through a case study in which we model competition among interacting political promises and social demands within an arena of political parties social groups.

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KW - Graph-based semantics

KW - Many-valued modal logic

KW - Non distributive modal logic

KW - Socio-political competition

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ER -

Modelling socio-political competition

Abstract

Funding

Keywords

UN SDGs

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