Zero sum game is a situation in which a participant's gain or loss is exactly balanced by the losses or gains of the other participants. Thus cutting a cake, where taking a larger piece reduces the amount of cake available for others, is a zero-sum game if all participants value each unit of cake equally.
Is such a deal halal? Or is it considered as harming other(s)? What if all participants agree and satisfy with the deal, would that make any change?
More details about the term "Zero sum" can be learned from Wiki here and here