Geodesic
The Detalization of the Irrational Behavior Proof Condition
Contributions to game theory and management, Tome 3 (2010), pp. 431-440

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Irrational behavior proof condition for single player was introduced in Yeung, 2006. In his paper the generalization off this condition for arbitrary coalitions $S\subset N$ is proposed. The condition is demonstrated on differential cooperative game first considered in Petrosyan and Zaccour, 2003. It is shown that the dynamic Shapley Value computed for this game satisfies also the irrational behavior proof condition for coalitions.
Keywords: optimal cooperative trajectory, Nash equilibrium, imputation distribution procedure, characteristic function, Shapley value. 
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     author = {David W. K. Yeung and Leon Petrosyan and Vladimir Zhuk and Anna V. Iljina},
     title = {The {Detalization} of the {Irrational} {Behavior} {Proof} {Condition}},
     journal = {Contributions to game theory and management},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a32/}
}
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David W. K. Yeung; Leon Petrosyan; Vladimir Zhuk; Anna V. Iljina. The Detalization of the Irrational Behavior Proof Condition. Contributions to game theory and management, Tome 3 (2010), pp. 431-440. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a32/