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people care about other things than just the obvious payoffs,
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and part of it is about more complicated things like reputation and so on.
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All right, having said that,
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let's nevertheless for the purpose of today,
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act as if we are going to do backward induction,
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and let's embed this into a slightly more complicated game.
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So the more complicated game is as follows.
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So we're going to have a two period bargaining game.
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In this two period, bargaining game,
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the beginning of the game is exactly the same.
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So there's a dollar on the table and Player 1 makes an offer to 2.
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And once again we can call this offer S and 1 - S,