In a simple game, if coalition A is losing and i is a player not in A, then coalition A ∪ { i } is
Answer Choices
losing or blocking
losing
blocking or winning
losing, blocking or winning
Ans: The answer is losing, blocking, or winning. We know that coalition A is losing and 'i' is not in A. So three case are possible:
1) Coalition A is losing by a big margin. So 'i' joining won't make much difference. A still loses.
2) Coalition A is losing by say 2. And 'i' shifts from the winning coalition to A. Hence, there is equality in the top two coalitions. Hence, it is blocking.
3) Coalition A is losing by just 1. And 'i' shifts from the winning coalition to A. Now, coalition A has a lead of one over the coalition from which 'i' joined.
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