edu.princeton.repeatedgames.rgsolve
Class RGSolveMathematica

java.lang.Object
  edu.princeton.repeatedgames.rgsolve.RGSolveMathematica

public class RGSolveMathematica
extends java.lang.Object

These methods return commands for Mathematica and Matlab for finding exact algebraic solutions for V* given an approximate numerical solution. It can also print the system of equations for inclusion in a LaTeX document.

Nested Class Summary

private static class

RGSolveMathematica.SOFTWARE An enum type for which software to generate code for

Constructor Summary

private

RGSolveMathematica() private constructor

Method Summary

private static java.lang.String	fracFormat(Fraction frac, boolean isLaTeX) TODO Put here a description of what this method does.
private static java.lang.String	getEquationSystem(Game game, GameExtremePoint[] V_star, int[] BR1, int[] BR2, RGSolveMathematica.SOFTWARE software) Returns the command for the the software in software's algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getLatexCommand(Game game, GameExtremePoint[] V_star) Returns the LaTeX code for the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getLatexCommand(Game game, GameExtremePoint[] V_star, int[] BR1, int[] BR2) Returns the LaTeX code for the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getMathematicaCommand(Game game, GameExtremePoint[] V_star) Returns the Mathematica command for the Mathematica algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getMathematicaCommand(Game game, GameExtremePoint[] V_star, int[] BR1, int[] BR2) Returns the Mathematica command for the Mathematica algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getMatlabCommand(Game game, GameExtremePoint[] V_star) Returns the Matlab command for the Matlab algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star
static java.lang.String	getMatlabCommand(Game game, GameExtremePoint[] V_star, int[] BR1, int[] BR2) Returns the Matlab command for the Matlab algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

RGSolveMathematica

private RGSolveMathematica()

private constructor

Method Detail

getMathematicaCommand

public static java.lang.String getMathematicaCommand(Game game,
                                                     GameExtremePoint[] V_star,
                                                     int[] BR1,
                                                     int[] BR2)

Returns the Mathematica command for the Mathematica algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

BR1 - best response vector for player 1

BR2 - best response vector for player 2

Returns:

A Mathematica command

getMatlabCommand

public static java.lang.String getMatlabCommand(Game game,
                                                GameExtremePoint[] V_star,
                                                int[] BR1,
                                                int[] BR2)

Returns the Matlab command for the Matlab algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

BR1 - best response vector for player 1

BR2 - best response vector for player 2

Returns:

A Matlab command

getMathematicaCommand

public static java.lang.String getMathematicaCommand(Game game,
                                                     GameExtremePoint[] V_star)

Returns the Mathematica command for the Mathematica algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

Returns:

A Mathematica command

getMatlabCommand

public static java.lang.String getMatlabCommand(Game game,
                                                GameExtremePoint[] V_star)

Returns the Matlab command for the Matlab algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

Returns:

A Matlab command

getLatexCommand

public static java.lang.String getLatexCommand(Game game,
                                               GameExtremePoint[] V_star)

Returns the LaTeX code for the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

Returns:

A LaTeX equation array

getLatexCommand

public static java.lang.String getLatexCommand(Game game,
                                               GameExtremePoint[] V_star,
                                               int[] BR1,
                                               int[] BR2)

Returns the LaTeX code for the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

BR1 - best response vector for player 1

BR2 - best response vector for player 2

Returns:

A LaTeX equation array

getEquationSystem

private static java.lang.String getEquationSystem(Game game,
                                                  GameExtremePoint[] V_star,
                                                  int[] BR1,
                                                  int[] BR2,
                                                  RGSolveMathematica.SOFTWARE software)

Returns the command for the the software in software's algebraic solver to find the exact solution to the system of equations defining V*, a system derived from the extreme points (and how they are generated) stored in V_star

Parameters:

game - the Game associated with the solution V_star

V_star - An array of extreme points representing the approximate solution

BR1 - best response vector for player 1

BR2 - best response vector for player 2

software - which software to use, Mathematica or Matlab

Returns:

a command to solve a system of equations

fracFormat

private static java.lang.String fracFormat(Fraction frac,
                                           boolean isLaTeX)

TODO Put here a description of what this method does.

Parameters:

subtract -

isLaTeX -

Returns: