I think you’re still confused. Every zero-sum game is equivalent to a positive-sum game (just add a positive constant to each payoff) and to a negative-sum game (add a negative constant).
(I unupvoted myself because I like papetoast’s reply better than mine.)
Yeah, as “Zero Sum” is a misnomer points out, “zero-sum” is equivalent to “constant-sum”. But it doesn’t quite carve reality at the joints, so arguably nitpicking about the technical definitions is less valuable than thinking through the kinds of strategic situations there are, as you’re doing, and defining better concepts, as Abram’s doing.
I think you’re still confused. Every zero-sum game is equivalent to a positive-sum game (just add a positive constant to each payoff) and to a negative-sum game (add a negative constant).
(not sure why you’re downvoted).
I’m curious if we can just add C to “zero-sum” and basically still be correct.
(I unupvoted myself because I like papetoast’s reply better than mine.)
Yeah, as “Zero Sum” is a misnomer points out, “zero-sum” is equivalent to “constant-sum”. But it doesn’t quite carve reality at the joints, so arguably nitpicking about the technical definitions is less valuable than thinking through the kinds of strategic situations there are, as you’re doing, and defining better concepts, as Abram’s doing.