public class GeneralBimatrixSolverTools
extends java.lang.Object
Constructor and Description 

GeneralBimatrixSolverTools() 
Modifier and Type  Method and Description 

static double[] 
constantDoubleArray(double constant,
int dimension)
Returns a double array of a given dimension filled with the same value.

static double 
dot(double[] a,
double[] b)
Returns the dot product of two vectors

static double[] 
expectedPayoffs(double[][] payoffRowPlayer,
double[][] payoffColPlayer,
double[][] jointActionProbabilities) 
static double[] 
expectedPayoffs(double[][] payoffRowPlayer,
double[][] payoffColPlayer,
double[] rowPlayerStrategy,
double[] colPlayerStrategy)
Computes the expected payoff for each player in a bimatrix game according to their strategies.

static double[] 
getNegatedArray(double[] a)
Returns a negated version of the input array in a new array object.

static double[][] 
getNegatedMatrix(double[][] m)
Returns a negated version of the input matrix in a new matrix object.

static double[][] 
getPositiveMatrix(double[][] m)
Creates a new matrix (m2) whose values are the values of m shifted by a constant amount c such that all the values
in m2 are positive.

static double[][] 
jointActionProbabilities(double[] rowPlayerStrategy,
double[] colPlayerStrategy)
Computes the joint action probabilities accroding to each player's strategy and returns it as a matrix.

static double[] 
marginalizeColPlayerStrategy(double[][] jointActionProbabilities)
Returns the column player's strategy by marginalizing it out from a joint action probability distribution represented as a matrix

static double[] 
marginalizeRowPlayerStrategy(double[][] jointActionProbabilities)
Returns the row player's strategy by marginalizing it out from a joint action probability distribution represented as a matrix

static double[][] 
transposeMatrix(double[][] m)
Creates and returns a new matrix that is a transpose of m.

static double[] 
zero1Array(int index,
int dim)
Creates an array that is all zeros except one index which has a value of 1.

public static double[] expectedPayoffs(double[][] payoffRowPlayer, double[][] payoffColPlayer, double[] rowPlayerStrategy, double[] colPlayerStrategy)
payoffRowPlayer
 the payoff for player 1. Rows are player 1's actions; columns player 2's.payoffColPlayer
 the payoff for player 2. Rows are player 1's actions; columns player 2's.rowPlayerStrategy
 the strategy for player 1. Should be array with dimension equal to the number of player 1's actions.colPlayerStrategy
 the stratgy for player 2. Should be array with dimension equal to the number of player 2's actions.public static double[] expectedPayoffs(double[][] payoffRowPlayer, double[][] payoffColPlayer, double[][] jointActionProbabilities)
public static double[][] jointActionProbabilities(double[] rowPlayerStrategy, double[] colPlayerStrategy)
rowPlayerStrategy
 the strategy of the player whose actions will be represented by the rows of the returned matrix.colPlayerStrategy
 the strategy of the player whose actions will represented by the columns of the returned matrix.public static double[] marginalizeRowPlayerStrategy(double[][] jointActionProbabilities)
jointActionProbabilities
 a matrix of 2player joint aciton probability distributionpublic static double[] marginalizeColPlayerStrategy(double[][] jointActionProbabilities)
jointActionProbabilities
 a matrix of 2player joint aciton probability distributionpublic static double[] constantDoubleArray(double constant, int dimension)
constant
 the constant value with which the double array is filled.dimension
 the dimension of the double array.public static double[][] getNegatedMatrix(double[][] m)
m
 the input matrix.public static double[] getNegatedArray(double[] a)
a
 the input double arraypublic static double[][] getPositiveMatrix(double[][] m)
m
 the input matrix.public static double[][] transposeMatrix(double[][] m)
m
 the input matrix.public static double dot(double[] a, double[] b)
a
 first vectorb
 second vectorpublic static double[] zero1Array(int index, int dim)
index
 the index which will have a valu of 1dim
 the dimension of the array to create