This article examines the voting process in the UN Security Council. It describes the decision-making process from the perspective of cooperative voting games. A method for finding the distribution of payoffs between agents in a voting game is presented. An algorithm for formalizing a voting game with player vetoes and a variable number of agents is described. A comparison of player payoffs as a result of voting with different agent compositions is presented. An analysis of how voting would change in the event of a possible US withdrawal from the UN Security Council is conducted. Hypotheses are put forward regarding changes to the voting rules should the composition of the Council change. Conclusions are drawn regarding the use of cooperative games in analyzing the voting process. A conclusion is formulated regarding the consequences of a US withdrawal from the UN Security Council.

Keywords: game theory, cooperative games, Shapley value, coalition, C-core, voting, UN, division, veto