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Aggregating Incomplete Individual Ratings in Group Resource Allocation Decisions

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  • Donald N. Stengel

    (California State University)

Abstract

This paper addresses a decision to be made by a group of evaluators as to how to allocate a pool of monetary resources to a set of candidates. The group decision is an aggregation of the individual allocation recommendations by the evaluators. Evaluators may also be candidates to receive allocations and not allowed to vote a recommendation for themselves. Further, evaluators can elect to exclude some candidates from their evaluations because they do not believe they are qualified to judge some candidates. Two models are presented for aggregation of individual evaluations using the mean and median, respectively, as the basis for the group consensus. In circumstances where some evaluators do not recommend allocations for all candidates, the calculation of the mean recommendations requires the solution of a system of linear equations and the calculation of the median recommendations requires an iterative search algorithm. Conditions for existence of a group consensus allocation for each model are described and the strengths and weaknesses of each model are explored. The models can be applied to a variety of different group decisions, including rating of candidates for a job or allocating a budget.

Suggested Citation

  • Donald N. Stengel, 2013. "Aggregating Incomplete Individual Ratings in Group Resource Allocation Decisions," Group Decision and Negotiation, Springer, vol. 22(2), pages 235-258, March.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9260-8
    DOI: 10.1007/s10726-011-9260-8
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    References listed on IDEAS

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    1. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, December.
    2. de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    4. Blair, George S., 1958. "Cumulative Voting: Patterns of Party Allegiance and Rational Choice in Illinois State Legislative Contests," American Political Science Review, Cambridge University Press, vol. 52(1), pages 123-130, March.
    5. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, January.
    6. Gilbert Laffond & Jean Lainé, 2008. "The Budget-Voting Paradox," Theory and Decision, Springer, vol. 64(4), pages 447-478, June.
    7. T. Tideman & Florenz Plassmann, 2008. "Paying the partners," Public Choice, Springer, vol. 136(1), pages 19-37, July.
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    Cited by:

    1. Elena Rokou & Konstantinos Kirytopoulos, 2014. "A Calibrated Group Decision Process," Group Decision and Negotiation, Springer, vol. 23(6), pages 1369-1384, November.

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