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At 10pm, a series of unamendable resolutions of the government's choosing – leaving out many of the important provisions intended to give the house real power to scrutinise the executive – will be put before the house.
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And Player 3 is choosing left or right.
Player 2 is choosing left, middle, or right and Player 1 is choosing up or down.
So backward induction predicts that Player 1 chooses down and Player 2 responds by choosing left.
There it is up and down and simultaneously Player 3 is choosing left or right.
And Player II is choosing Left or Right, and the payoffs are as follows.
I might not be sure whether the opponent, whether my opponent, is choosing Left or Right.
XTC are next, with a Complicated Game about choosing left or right.
So if Player 2 was choosing left then Player 1's best response is the (Up, up) strategy.
They must be equal since Serena is indifferent between choosing left or right and hence is mixing over them.
In fact she chose left.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com