aequationes mathematicae

, Volume 70, Issue 1–2, pp 101–116 | Cite as

Aggregating randomized and vector valued allocations

  • Rafał Kucharski
  • Maciej Sablik
Research paper


The paper is dealing with determining the aggregation methods for problems of allocation. In the present paper we generalize results obtained by J. Aczél, C. T. Ng and C. Wagner by investigating the cases where the number of individuals assigning values to the decision variables is not necessarily finite, more exactly we admit aggregation of opinions being continuous functions or random variables. We also consider the case where the assigned values need not be numerical, but lie in a vector space.

Mathematics Subject Classification (2000).

39B52 39B55 90B50 91B06 


Functional equation allocation problems aggregation theorems random variable 


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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Institute of MathematicsSilesian UniversityKatowicePoland

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