> I shall now explain to you exactly what “zero-sum game” means in several thousand well-chosen words.
... several thousand words of dubious quality ...
> Under these very restrictive and special conditions – a two person game with a finite set of outcomes in which the players have strictly opposed preferences for compound lotteries of the outcomes – it is possible fairly easily to show that the sum of the utilities assigned by the two players to any outcome or lottery of outcomes will sum to 1.
> In particular, no game or game-like situation with three or more players can be a zero-sum game.
Bullcrap.
Just because von Neumann used "zero-sum game" to describe his conclusions about a certain 2-player game doesn't grant permanent monopoly of the phrase to that exact situation.
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I shall now explain to you exactly what “zero-sum game” means in several well-chosen words: A zero-sum game is one in which summation of utility among participants is fixed, regardless of choices made.
(The definition exists despite that fact that -- like everything else in economics -- utility aggregatation or utility itself are controversial concepts.)