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The Partnered Core of a Game with Side Payments

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Working paper
Philip J. Reny, Eyal Winter and Myrna Wooders
Issue number: 
Vanderbilt University
An outcome of a game is partnered if there are no asymmetric depen- dencies between any two players. For a cooperative game, a payoff is in the partnered core of the game if it is partnered, feasible and cannot be improved upon by any coalition of players. We show that the relative inte- rior of the core of a game with side payments is contained in the partnered core. For quasi-strictly convex games the partnered core coincides with the relative interior of the core. When there are no more than three partner- ships, the sums of the payoffs to partnerships are constant across all core payoffs. When there are no more than three players, the partnered core satisfies additional properties.
Developed by Paolo Gittoi