Handling Exponentially Growing Strategies in Spatial Cooperative Games: The Case of the European Union

Mehmet Küçükmehmetoğlu, Yasin Fahjan, Muhammed Ziya Paköz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper introduces a comprehensive cooperative game theory framework to measure the significance of location and neighborhood relations in conjunction with the magnitude of players/parties. The significances of these relations are measured over the EU geography. In this case, there are (i) the test of availability of a core solution that satisfies all associated parties/players; (ii) the measurement of players’/parties’ rational minimal and maximal return expectations from the grand coalition regarding their all individual and sub-group strategies and associated return rationalities; (iii) the determination of the critical players/parties in the grand coalition. The study’s main contributions are the provision of a methodology that identifies spatially/geographically critical players/parties and the design of an algorithm for handling exponentially growing strategies alongside increasing numbers of players/parties. In sum, a comprehensive cooperative game theory framework is introduced to measure the significance of location and neighborhood relations in conjunction with the magnitude of the players/parties. The case of the EU has revealed the union’s geographically critical countries, with Germany being found to be the most influential.

Original languageEnglish
Article number554
JournalAlgorithms
Volume17
Issue number12
DOIs
Publication statusPublished - Dec 2024

Bibliographical note

Publisher Copyright:
© 2024 by the authors.

Keywords

  • game theory
  • linear programming
  • multinational coalitions
  • spatial cooperative games
  • The European Union

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