Chicken (game) respectively. The line in graph on the left shows the optimum probability of playing the escalated strategy for player Y as a function of "x". The line in the second graph shows the optimum probability of playing the escalated strategy for player X as a function of "y" (the axes have not been rotated, so the dependent variable is plotted on the abscissa, and the independent variable is plotted on the ordinate). The Nash equilibria are where the players' correspondences agree, i.e., cross. These are shown with points in the right hand graph. The best response mappings agree (i.e., cross)
Graph product Graph product In mathematics, a graph product is a binary operation on graphs. Specifically, it is an operation that takes two graphs "G" and "G" and produces a graph "H" with the following properties: The terminology and notation for specific graph products in the literature varies quite a lot; even if the following may be considered standard, readers are advised to check what definition a particular author uses for a graph product, especially in older texts. The following table shows the most common graph products, with formula_1 denoting “is connected by an edge to”, and formula_2 denoting non-connection. The operator