Relative Gain Maximization in Sequential 3-Person Characteristic Function Games
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The present study tested competitively three descriptive models of coalition formation and
payoff disbursement in sequential 3-person games in which each player seeks to maximize the
rank of his or her total score in a sequence of interdependent charactenstic function games
with sidepayments. Two of the models were originally proposed and tested by J. D. Laing and
R J Morrison. A third mixed-signal model is proposed, postulating that the starting rank
position and the values of the characteristic function, which operate as two independent
signals are combined to determine both coalition frequencies and payoff division. To test
these modets, 25 subjects played 46 different sequences for a total of 236 games m a new
experimental paradigm, which generalizes previous research by assigning different values to
the three 2-person coalitions, introducing dependency between successive characteristic
functions, and eliminating face-to-face bargaining. The results support the mixed-signal model.
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