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Abstract <p>In the paper, we introduce and study the so-called Harsanyi extensions of finite TU cooperative games. A complete description of the cores for the Harsanyi extensions of almost positive games is obtained by applying sub-differential calculus. For each such a game, we establish that any standard core imputation is represented as a unique unblockable payoff of an appropriate Harsanyi extension of the game under consideration.</p>

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Harsanyi Extensions and the Cores of Almost Positive Games

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. A. Vasil’ev

摘要

Abstract

In the paper, we introduce and study the so-called Harsanyi extensions of finite TU cooperative games. A complete description of the cores for the Harsanyi extensions of almost positive games is obtained by applying sub-differential calculus. For each such a game, we establish that any standard core imputation is represented as a unique unblockable payoff of an appropriate Harsanyi extension of the game under consideration.