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All of those are only zero-sum if you pick a conserved metric. Land ownership is zero-sum if measured in square meters. But say someone buys up land that is parched, dead, and empty. They use it by planting moisture-retaining crops and windbreaks and growing food, or running a business of benefit to the community. Now overall everyone is a little better off, despite 0 square meters being created.

Influence is even more so -- it's common to have situations where nobody is truly paying attention to anyone else. The people with good ideas can't get any traction, and the whole organization just spins in circles, lurching from one externally-imposed crisis to the next. If the people who gain influence use that influence to promote others who are worth paying attention to (and thus they gain influence), everyone benefits. But if you measure that in terms of how many minutes each person gets to speak at the All Hands, it's zero-sum.

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Yes, although we do measure it in square meters (or acres, or tatami mats).

Is there such a thing as "partially zero-sum"? I mean, to express how, unless you get really creative in difficult ways, the supply of land is under pressure due to other people taking all the currently useful parts of it, such as the parts on your island and not underwater.

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Yes, but in practice land-ownership is only zero sum in places like Europe where every square-kilometer has 300 years of documented ownership etc, or other high-density areas.

The Asia, Africa & the Americas have so much unused space that isn't as inhospitable as central Australia

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Most games are either negative-sum or positive-sum. Very few are zero-sum.
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Well, that's not what I said anyway. I just said that zero sum games are common and there are some important ones you're not escaping.
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I'm saying they're not common. Those games you listed are either negative or positive sum. It's like if you draw a random number from a uniform distribution between [-1,1], you're almost certainly not going to get 0. When people say "zero-sum" they use it as a short-hand for "negative-sum", which is fine for casual speaking I guess, because the intended meaning does get across.
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What about the important ones you're not escaping?

To be a bit specific: if you're currently in education, you almost certainly have to play many zero sum games. Yes, education can be a positive thing in itself, but only one of you is going to be best in class. Only a limited number of you will get your papers into that prestigious congress. And while the knowledge may hopefully be useful in itself, the credentials you got in getting it will be less valuable the more people have them.

Then you're off into the housing market. Can more houses be built? Sure. Can we build dikes to claim land from the oceans? Sure. All that is true, but it doesn't help you here and now when you need a place to live - then you're in a game with everyone else who needs a home right now, and if you get one, that's one someone else doesn't get.

Then you have your home, and someone is planning to expand the local almost-unused airport to suddenly take a lot of heavy transport air planes. The noise will impact you a lot. You'd like to influence politics, to call off these plans or at least demand some mitigation, but then you're in a game with others who want to influence politics. Sure, maybe there's a happy compromise to be found, but often there's not. If there isn't, then your ability to put pressure on the decision makers to defend your interests, is going to come at the direct expense of the people wanting an expansion of the airport. Or more likely the other way around.

My point is that yes, it sucks, but often we can't quit the rat race, and often there are conflicts of interest which can't be papered over. It comes off as too easy to, as this author does, say that we can just choose to play different games.

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I feel a strong impulse to conserve all of your matter towards the inside of a locker.
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Then there are situations where someone for inexplicable reasons make dickish comments.
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