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Coalitional bargaining games: A new concept of value and coalition formation

2022; Elsevier BV; Volume: 132; Linguagem: Inglês

10.1016/j.geb.2022.01.010

1090-2473

Armando Gomes,

Game Theory and Applications

We propose a new solution for coalition bargaining problems among n players that can form coalitions c generating heterogenous coalitional values . The players' values vi and probability of coalition formation are given by: where coalition c is chosen only if it maximizes the average gain and . This solution is the strong Markov perfect equilibrium of a non-cooperative coalition bargaining game where players choose simultaneously the coalition they want to join followed by negotiations to split the surplus. The solution does not rely on the specification of a proposer recognition protocol. For majority voting games, the solution exhibits more inequality among the values of large and small parties and a concentrated equilibrium coalition formation distribution.