Abstract:
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For a family of reduced games satisfying a monotonicity property, we
introduced the reduced equal split-off set, an extension of the equal split-off
set (Branzei et. al, 2006), and study its relation with the core. Regardless
of the reduction operation we consider, the intersection between both sets
is either empty or a singleton containing the lexmax solution (Arin et al.,
2008). We also provide a procedure for computing the lexmax solution for
a class of games that includes games with large core (Sharkey, 1982).
[JEL Classification: C71] |