Geodesic
Formation of new structure of coalitions in voting games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 1, pp. 61-73.

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The new $(n+1)$st player enters the voting game and buys the stock from another players, investing the vector $\alpha=(\alpha_1,\dots,\alpha_n)$: $\sum_{i=1}^n\alpha_{i}\leq M$, $\alpha_i\geq0$, $\forall i=1,\dots,n$. The optimal investment is defined as $\alpha^*$, which maximizes the component of Shapley–Shubik value of entering player. The mathematical statement of the problem is given, some properties of the optimal investment are considered and Monte-Karlo method for the calculation of optimal investment is proposed.
Keywords: voting game, Shapley–Shubic value, profitable investment, veto-player, Monte-Karlo method.
Mots-clés : perspective coalitions 
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Ovanes L. Petrosian. Formation of new structure of coalitions in voting games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 1, pp. 61-73. http://geodesic.mathdoc.fr/item/MGTA_2013_5_1_a3/

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