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   <subfield code="a">In this note a partial solution of Open Problem 41C of Aumann and Shapley [1974, pp. 250-251] is presented. A sufficient condition for the Aumann-Shapley value of a market game to exist, to be contained in its core, and to be the competitive payoff distribution of a transferable utility competitive equilibrium is given. In this context, balancedness and σ-balancedness criteria for large classes of cooperative games are proven.</subfield>
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