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Pseudo-Shapley value for weak games of threats

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  • Daniel Li Li

    (Shanghai Business School)

  • Erfang Shan

    (School of Management, Shanghai University)

Abstract

For a real number $$\omega $$ ω , a weak game of threats (N, v) consists of a set N of n players and a function $$v:2^N\rightarrow \mathbb {R}$$ v : 2 N → R such that $$\omega v(\emptyset )+(1-\omega )v(N)=0$$ ω v ( ∅ ) + ( 1 - ω ) v ( N ) = 0 , where $$v(\emptyset )\ne 0$$ v ( ∅ ) ≠ 0 possibly. It is shown that there exists a unique value with respect to $$\omega $$ ω for weak games of threats that satisfies efficiency, linearity, symmetry and the null player property.

Suggested Citation

  • Daniel Li Li & Erfang Shan, 2025. "Pseudo-Shapley value for weak games of threats," Journal of Combinatorial Optimization, Springer, vol. 49(5), pages 1-9, July.
    • Handle: RePEc:spr:jcomop:v:49:y:2025:i:5:d:10.1007_s10878-025-01319-x
    DOI: 10.1007/s10878-025-01319-x
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    References listed on IDEAS

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