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)
Biased random walk on a graph on a graph has attracted the attention of many researchers and data companies over the past decade especially in the transportation and social networks. There have been written many different representations of the biased random walks on graphs based on the particular purpose of the analysis. A common representation of the mechanism for undirected graphs is as follows: On an undirected graph, a walker takes a step from the current node, formula_1 to node formula_2 Assuming that each node has an attribute formula_3 the probability of jumping from node formula_4 to formula_5 is given by: where formula_7 represents the topological