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)
Abscissa and ordinate (Latin; "linea abscissa", "a line cut off") has been used at least since "De Practica Geometrie" published in 1220 by Fibonacci (Leonardo of Pisa), its use in its modern sense may be due to Venetian mathematician Stefano degli Angeli in his work "Miscellaneum Hyperbolicum, et Parabolicum" of 1659. In his 1892 work "Vorlesungen über Geschichte der Mathematik, Volume 2," (""Lectures on history of mathematics"") German historian of mathematics Moritz Cantor writes In a somewhat obsolete variant usage, the abscissa of a point may also refer to any number that describes the point's location along some path, e.g. the parameter of