Assume that players strictly rank each other as coalition partners. We propose a procedure whereby they "fall back" on … their preferences, yielding internally compatible, or coherent, majority coalition(s), which we call fallback coalitions. If … there is more than one fallback coalition, the players common to them, or kingmakers, determine which fallback coalition …

Assume that players strictly rank each other as coalition partners. We propose a procedure whereby they 'fall back' on … their preferences, yielding internally compatible, or coherent, majority coalition(s), which we call fallback coalitions. If … there is more than one fallback coalition, the players common to them, or kingmakers, determine which fallback coalition …

coalition with the agents who most desire, or least desire, the public good, and we may observe 'strange bedfellow' coalitions …