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    On Committee Decision Making: A Game Theoretical Approach

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    MS80.pdf (1.305Mb)
    Issue Date
    1980-04
    Author
    Shenoy, Prakash P.
    Publisher
    The Institute of Management Sciences
    Format
    1368568 bytes
    Type
    Article
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    Abstract
    In this paper, we study committee decision making process using game theory. By a committee, we mean any group of people who have to pick one option from a given set of alternatives. A well defined voting rule is specified by which the committee arrives at a decision. Each member has a preference relation on the set of alternatives. A new solution concept called the one-core in introduced and studied. Intuitively, the one-core consists of all maximal (for the proposer) proposals which are undominated assuming that the player who makes the proposal does not cooperate in any effort to dominate the proposal. For games with non-empty cores, the one-core proposals are shown to be better than the core. For games with empty cores, the one-core proposals tend to be pessimistic, i.e., they indicate the security levels of the players. This is because the stability requirements of the one-core are too strong for such games. A bargaining set modeled along the lines of the Aumann-Maschler bargaining set for characteristic function games is defined for committee games. Because of its relaxed stability requirements, the bargaining set indicates more reasonable proposals than the one-core. The existence of both the one-core and the bargaining set are studied and these concepts are compared with two other well known solution concepts--the core and the Condorcet solution.
    URI
    http://hdl.handle.net/1808/175
    ISSN
    0025-1909
    Collections
    • Distinguished Professors Scholarly Works [918]
    • School of Business Scholarly Works [213]
    Citation
    Shenoy, P. P., "On Committee Decision Making: A Game Theoretical Approach," Management Science, Vol. 26, No. 4, April 1980, pp. 387--400.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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