The power of a coalition and payoff disbursement in three‐person negotiable conflicts

A descriptive model is presented for n‐person negotiable conflicts represented by games in characteristic function form. It measures the power of a coalition by a generalized cooperative standard of fairness (Maschler, 1963a), which requires the independent estimation of a single parameter. Stability in allocating payoff within a coalition is achieved by equalizing the differences between a player's payoff and his power for all members of the coalition. Estimation procedures for a and measures of goodness of fit of the model are provided, and the relationships between the model and previously advocated solution concepts are explored. The model is then examined in a review of the outcomes of nine previously published experiments using 3‐person games in characteristic function form.

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