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Merge Proofness of Allocation Rules at Transferable Utility Games

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  • Ayşe Mutlu DERYA

    (Bilkent Üniversitesi)

Abstract

In this paper, different merge proof notions for allocation rules at transferable utility games are defined and studied. Merging of a coalition into a single player is considered mainly in two different ways: firstly, merging of only one coalition -where the other (external) players stay as singletons, in other words, stay as they are, which is the general approach in the iterature-; and secondly, merging of any coalition -where the other (external) players can also merge. This paper includes relations between different merge proof definitions, some impossibility results on merging and some possibility results via convex combinations of allocation rules in transferable utility games.

Suggested Citation

  • Ayşe Mutlu DERYA, 2014. "Merge Proofness of Allocation Rules at Transferable Utility Games," Iktisat Isletme ve Finans, Bilgesel Yayincilik, vol. 29(343), pages 71-82.
  • Handle: RePEc:iif:iifjrn:v:29:y:2014:i:343:p:71-82
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    More about this item

    Keywords

    Cooperative Games; Transferable Utility Games; Merge Proofness; Allocation Rules;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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