Capraro, Valerio; Morrison, Kent - In: International Journal of Game Theory 42 (2013) 4, pp. 917-929
The semigroup game is a two-person zero-sum game defined on a semigroup <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${(S,\cdot)}$$</EquationSource> </InlineEquation> as follows: Players 1 and 2 choose elements <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$${x \in S}$$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$${y \in S}$$</EquationSource> </InlineEquation>, respectively, and player 1 receives a payoff f (x y) defined by a function f : S → [−1, 1]. If the semigroup is amenable...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>
