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Regular version of the site

Article

The Bounded Core for Games with Restricted Cooperation

Automation and Remote Control. 2016. Vol. 77. No. 9. P. 1699- 1710.
On the class of cooperative games with restricted cooperation the most popular solution -- the core -- may be unbounded. The bounded core is the union of all bounded faces of the core. It can be empty even if the core itself is not empty. Two axiomatizations of the bouded core atre ngiven: the first one is for the whole class of games with restricted cooperation, and the second one -- for the class of games with nonempty bounded cores.