Last Updated :2025/12/04

Bondareva-Shapley theorem

Proper noun
Japanese Meaning
協力ゲームにおいて、特性関数形で表されるゲームの核(コア)が非空となるための必要十分条件を示す定理。すなわち、ゲームの核が非空であるのは、そのゲームがバランスしている場合に限る。
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ボンダレワ=シャプレーの定理は、特性関数形式の協力ゲームにおいて、コアが非空であるための必要十分条件を示し、ゲームがバランスであることとコアが非空であることが同値であると述べています。

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(game theory) A theorem that describes a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form. The game's core is non-empty if and only if the game is balanced.

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Bondareva-Shapley theorem

The Bondareva-Shapley theorem provides a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form.

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The Bondareva-Shapley theorem provides a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form.

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