Abstract
A convex game without side payments is defined and discussed. It is shown that such a game is totally balanced. With a second and more restrictive definition of convexity it is shown that the core coincides with the von Neumann-Morgenstern solution.
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I am grateful to Lloyd Shapley, Robert Rosenthal, and an anonymous referee for helpful comments on an earlier draft.
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Sharkey, W.W. Convex games without side payments. Int J Game Theory 10, 101–106 (1981). https://doi.org/10.1007/BF01769263
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DOI: https://doi.org/10.1007/BF01769263