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| Cori Vilella |
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| ''The equity core and the core'' |
| ( 2014, Vol. 34 No.1 ) |
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| In this paper we study the equity core (Selten, 1978) and compare it with the core. A payoff vector is in the equity
core if no coalition can divide its value among its members proportionally to a given weight system and, in this way,
give more to each member than the amount he or she receives in the payoff vector. We show that the equity core is a compact extension of the core and that, for non-negative games, the intersection of all equity cores with respect to all weights coincides with the core of the game. |
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| Keywords: Cooperative game, equity core, equal division core, core. |
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| Manuscript Received : Nov 08 2013 | | Manuscript Accepted : Feb 28 2014 |
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