(An undergrad project)
The point of the attached PowerPoint was to act as a class project demonstrating how it might be possible to populate a game matrix with the appropriate payoffs, assuming one can model/simulate the game on a computer.
It should be understood, this is only meant as a demonstration and not a rigorous exercise.
The following is the code used:
import java.awt.*;
import java.util.Arrays;
import java.util.Random;
import javax.swing.*;
public class GameTheory2 extends JPanel
{
public static void main(String[] args)
{
int[] catpost = Start();
int[] mousepost = Start();
String m = Arrays.toString(mousepost);
String c = Arrays.toString(catpost);
Random rn= new Random();
int turn;
int[] tempmouse;
int[] tempcat;
int count=1;
while(mousepost!=catpost && mousepost[0]>=0 && mousepost[0]<=500 &&mousepost[1]>=0 && mousepost[1]<=500 && count<1000)
{
int direction[]=Choice(catpost, mousepost);
tempmouse=mousepost;//To be used later
tempcat=catpost;//To be used later
catpost[0] = catpost[0]+30*direction[0];//new catpost
catpost[1] = catpost[1]+30*direction[1];//new catpost
mousepost[0] = mousepost[0]+10*direction[0];//new mousepost
mousepost[1] = mousepost[1]+10*direction[1];//new mousepost
m=m+" "+Arrays.toString(mousepost);
c=c+" "+Arrays.toString(catpost);
count++;
}
System.out.println(count+" Cat: "+c);
System.out.println(count+" Mouse: "+m);
/////////////////////***GUI***/////////////////////
/*
JFrame frame=new JFrame("Pursuit and Evation");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
JPanel main_window = new JPanel();
main_window.setPreferredSize(new Dimension(1000, 1000));
frame.getContentPane().add(main_window);
frame.pack();
frame.setVisible(true);
*/
}
public static int[] Start()//Initializing location of the Character
{
int[] post= new int[2];//Array with x,y location
Random rn= new Random();
int x = rn.nextInt(501);//Random x-post
int y = rn.nextInt(501);//Random y-post
post[0]=x;//sets x location
post[1]=y;//sets y location
return post;//returns x,y location
}
public static int[] Choice(int[] catpost, int[] mousepost)//Defines cardinal direction of motion---Unit Vector
{
int direction[]={0,0};
Random rn= new Random();
int cardinal;
if(catpost[0]<mousepost[0] && catpost[1]<mousepost[1])//If cat is above and left of mouse
{
cardinal = rn.nextInt(2);
if(cardinal==0)//move X
{
direction[0]=1;
}
else//move Y
{
direction[1]=1;
}
}
else if (catpost[0]>mousepost[0] && catpost[1]<mousepost[1])//If cat is above and right of mouse
{
cardinal = rn.nextInt(2);
if(cardinal==0)
{
direction[0]=-1;
}
else
{
direction[1]=1;
}
}
else if (catpost[0]==mousepost[0] && catpost[1]<mousepost[1])//If cat is directly above mouse
{
cardinal = rn.nextInt(3);
if(cardinal==0)//Move X
{
direction[0]=1;
}
else if(cardinal==1)//Move X
{
direction[0]=-1;
}
else//Move Y
{
direction[1]=1;
}
}
else if (catpost[0]<mousepost[0] && catpost[1]>mousepost[1])//If cat is below and left of mouse
{
cardinal = rn.nextInt(2);
if(cardinal==0)
{
direction[0]=1;
}
else
{
direction[1]=-1;
}
}
else if (catpost[0]>mousepost[0] && catpost[1]>mousepost[1])//If cat is below and right of mouse
{
cardinal = rn.nextInt(2);
if(cardinal==0)
{
direction[0]=-1;
}
else
{
direction[1]=-1;
}
}
else if (catpost[0]==mousepost[0] && catpost[1]>mousepost[1])//If cat is directly below of mouse
{
cardinal = rn.nextInt(3);
if(cardinal==0)
{
direction[0]=1;
}
else if(cardinal==1)
{
direction[0]=-1;
}
else
{
direction[1]=-1;
}
}
else if(catpost[0]<mousepost[0] && catpost[1]==mousepost[1])//If cat is directly to the left of mouse
{
cardinal = rn.nextInt(3);
if(cardinal==0)
{
direction[0]=1;
}
else if(cardinal==1)
{
direction[1]=1;
}
else
{
direction[1]=-1;
}
}
else if (catpost[0]>mousepost[0] && catpost[1]==mousepost[1])//If cat is directly to the right of mouse
{
cardinal = rn.nextInt(3);
if(cardinal==0)
{
direction[0]=-1;
}
else if(cardinal==1)
{
direction[1]=1;
}
else
{
direction[1]=-1;
}
}
return direction;
}
}
Tucker's Box of Thoughts 