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Absence-proofness: Group stability beyond the core

Emre Doğan ()
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Emre Doğan: National Research University Higher School of Economics

International Journal of Game Theory, 2016, vol. 45, issue 3, 601-616

Abstract: Abstract We introduce a new cooperative stability concept, absence-proofness (AP). Given a TU game $$\left( {N,v} \right) $$ N , v , and a solution well defined for all subsocieties, a group of people $$S\subseteq N$$ S ⊆ N may benefit by partially seceding from cooperation. $$T\subseteq S$$ T ⊆ S stays out, and collects its stands alone benefits while $$S\backslash T$$ S \ T receives its allocation specified by the solution at the reduced problem where only $$N\backslash T$$ N \ T is present. We call a solution manipulable if $$S$$ S can improve upon its allocation in the original problem by such a maneuver, and solutions that are immune to such manipulations are called absence-proof. We show that population monotonicity (PM) implies AP, and AP implies separability. In minimum cost spanning tree problems, by replacing PM with AP, we propose a family of solutions that are easy to compute and more responsive than the well-known Folk solution to the asymmetries in the cost data, keeping all its fairness properties.

Keywords: Core; Absence-proofness; Population monotonicity (search for similar items in EconPapers)
Date: 2016
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