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Meteorologist resigns, citing PTSD from threats over climate change coverage
(www.washingtonpost.com)
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You are probably right about game theory working for zero sum games, but in this game, there is only one player. Us. Humanity as a whole. The two outcomes in that game are so trivial that we don't need game theory to figure out which outcome is most beneficial.
We pretty much already know what needs to be done to win this game, or at least give it our best shot. Game theory is what holds us back from doing that, because we are wrongly applying it to try and find local best outcomes. Unfortunately, there is no point in looking for local best outcomes in this game, because they won't matter if the whole game is lost.