Social Choice and Welfare

, Volume 24, Issue 1, pp 129–154 | Cite as

A new model of coalition formation

  • Agnieszka RusinowskaEmail author
  • Harrie de Swart
  • Jan-Willem van der Rijt


In this paper, a new model of multidimensional coalition formation in politics is presented. The model provides an opportunity to analyze a number of different kinds of issues at the same time. A policy space consists of a finite number of independent sub-spaces (policy spaces on certain issues), which can be multidimensional. Any policy sub-space on a certain sub-issue can be either a Euclidean space or (in principle) any other type of set. So, it is possible to include issues which cannot be represented by a Euclidean space or a fixed sum. A government is defined as a pair consisting of a majority coalition and a policy supported by this coalition. The majority coalition may be not minimal winning. Each party is allowed to give one qualification to a policy on a certain issue and to a majority coalition: desirable of a certain degree, acceptable, or unacceptable. By representing party preferences the way we do, we can include both rent-seeking and idealistic motivations in one consistent model. We define the value of a policy/coalition/government to a party, and the notions of a feasible and stable policy/coalition/government. The model uses party preferences in order to predict government policy. Necessary and sufficient conditions for the existence and uniqueness of a stable government are investigated. Moreover, some alternative definitions of a ‘stable’ government are introduced, and relations between these definitions and the chosen definition of a stable government are established.


Economic Theory Euclidean Space Finite Number Government Policy Coalition Formation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • Agnieszka Rusinowska
    • 1
    • 2
    Email author
  • Harrie de Swart
    • 3
  • Jan-Willem van der Rijt
    • 4
  1. 1.Nijmegen School of ManagementRadboud University NijmegenNijmegenThe Netherlands
  2. 2.Warsaw School of Economics, Department of Mathematical Economics WarsawPoland
  3. 3.Department of PhilosophyTilburg UniversityTilburgThe Netherlands
  4. 4.Department of PhilosophyUniversity of GroningenGroningenThe Netherlands

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