Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Individual and Group Stability in Neutral Restrictions of Hedonic Games   We consider a class of coalition formation games called hedonic games, i.e.,
games in which the utility of a player is completely determined by the
coalition that the player belongs to. We first define the class of
subset-additive hedonic games and show that they have the same representation
power as the class of hedonic games. We then define a restriction of
subset-additive hedonic games that we call subset-neutral hedonic games and
generalize a result by Bogomolnaia and Jackson (2002) by showing the existence
of a Nash stable partition and an individually stable partition in such games.
We also consider neutrally anonymous hedonic games and show that they form a
subclass of the subset-additive hedonic games. Finally, we show the existence
of a core stable partition that is also individually stable in neutrally
anonymous hedonic games by exhibiting an algorithm to compute such a partition.

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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph