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We state some results dealing with the \(\alpha \) -core for normal form games with a continuum of players. This concept is approximated, enlarged slightly, in order to be non-empty, under “usual assumptions". However, it is difficult to evaluate what kind of conditions can be considered usual or natural, regarding the non-vacuity question in the continuum case. Nevertheless, some related examples are given, discussing among other things, the necessity of the approximation of the \(\alpha \) -core....

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Some Results on the Weak Core of Games with a Continuum of Players

  • 会议论文

  • 发表日期：

    2025年

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  • Youcef Askoura

摘要

We state some results dealing with the \(\alpha \) -core for normal form games with a continuum of players. This concept is approximated, enlarged slightly, in order to be non-empty, under “usual assumptions". However, it is difficult to evaluate what kind of conditions can be considered usual or natural, regarding the non-vacuity question in the continuum case. Nevertheless, some related examples are given, discussing among other things, the necessity of the approximation of the \(\alpha \) -core....