The Consensus Functional Equation in Agreement Theory

  • Juan Carlos Candeal
  • Esteban Induráin
  • José Alberto Molina
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 228)


We introduce the concept of the consensus functional equation, for a bivariate map defined on an abstract choice set. This equation is motivated by miscellaneous examples coming from different contexts. In particular, it appears in the analysis of sufficiently robust agreements arising in Social Choice. We study the solutions of this equation, relating them to the notion of a rationalizable agreement rule. Specific functional forms of the solutions of the consensus functional equation are also considered when the choice sets have particular common features. Some extension of the consensus equation to a multivariate context are also explored.


Functional equations in two variables Agreement rules in Social Choice 

Mathematics Subject Classification (2010)

91B16 91B14 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Juan Carlos Candeal
    • 1
  • Esteban Induráin
    • 2
  • José Alberto Molina
    • 1
  1. 1.Departamento de Análisis EconómicoUniversidad de ZaragozaZaragozaSpain
  2. 2.Departamento de MatemáticasUniversidad Pública de NavarraPamplonaSpain

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