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Compositional Modelling of Network Games

Authors Elena Di Lavore , Jules Hedges, Paweł Sobociński



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Author Details

Elena Di Lavore
  • Department of Software Science, Tallinn University of Technology, Estonia
Jules Hedges
  • Department of Computer and Information Sciences, University of Strathclyde, Glasgow, UK
Paweł Sobociński
  • Department of Software Science, Tallinn University of Technology, Estonia

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Elena Di Lavore, Jules Hedges, and Paweł Sobociński. Compositional Modelling of Network Games. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 30:1-30:24, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/LIPIcs.CSL.2021.30

Abstract

The analysis of games played on graph-like structures is of increasing importance due to the prevalence of social networks, both virtual and physical, in our daily life. As well as being relevant in computer science, mathematical analysis and computer simulations of such distributed games are vital methodologies in economics, politics and epidemiology, amongst other fields. Our contribution is to give compositional semantics of a family of such games as a well-behaved mapping, a strict monoidal functor, from a category of open graphs (syntax) to a category of open games (semantics). As well as introducing the theoretical framework, we identify some applications of compositionality.

Subject Classification

ACM Subject Classification
  • Theory of computation → Categorical semantics
Keywords
  • game theory
  • category theory
  • network games
  • open games
  • open graphs
  • compositionality

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