Consider the following game between two players: Both players simultaneously declare "one" or "two". Player 1 wins if the sum of the two declared numbers is odd and Player 2 wins if the sum is even. In either case the loser is obliged to pay the winner (in tokens) the sum of the two declared numbers. So Player 1 may have to pay 2 or 4 tokens or may win 3 tokens. **Part 1:** Write a computer program in Java that allows a user to play this game against a computer. The computer's strategy will be as follows. A computer player will have a threshold variable, `t`. The computer will generate a random number between 0 and 1. If the number is greater than `t` the computer will declare "two" if the random number is less than `t` the computer will declare "one". I have included templates for a `Game` class, a computer `ComputerPlayer` class and a test class, `OddEven` on Codio. Note that there is no class for the human player as this can be handled easily enough in the Game class.

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Consider the following game between two players: Both players simultaneously declare "one" or "two". Player 1 wins if the sum of the two declared numbers is odd and Player 2 wins if the sum is even. In either case the loser is obliged to pay the winner (in tokens) the sum of the two declared numbers. So Player 1 may have to pay 2 or 4 tokens or may win 3 tokens.

**Part 1:** Write a computer program in Java that allows a user to play this game against a computer. The computer's strategy will be as follows. A computer player will have a threshold variable, `t`. The computer will generate a random number between 0 and 1. If the number is greater than `t` the computer will declare "two" if the random number is less than `t` the computer will declare "one". I have included templates for a `Game` class, a computer `ComputerPlayer` class and a test class, `OddEven` on Codio. Note that there is no class for the human player as this can be handled easily enough in the Game class.  

**Part 2:**
Modify the Game class so that it also allows two computer players to play a game against each other. Do this by overloading the constructor so that when a game is instantiated one may specify whether or not it is interactive or simulated. Since both players are computers in a simulated game each computer player will be a different object with its own threshold (instance) variables `t` and and its own score (tokens won or lost so far in a session). 

Write a separate test class called `Simulation` that allows you to run some simulations (play many games of computer versus computer) using various combinations of the threshold variable `t` for each player. A simulated game need not print or return anything but you should add some functionality to the `Game` class so that you can access the current amount of tokens either player has won or lost so far. Check to see how much each player loses or wins for each combination of thresholds after many games. Is it better to be the odd player? The even player? Does it matter? *Better here  means that if enough games are played there is a strategy (threshold) that one player can use that guarantees positive average outcome regardless of the other player's strategy.* We call it a fair game if there is no such strategy for either player. By using the computer vs. computer option in your program set up some extended sessions of computer vs. computer to test different combinations of player 1's `t` and player 2's `t` (*Hint: use a nested for loop structure to vary each player's threshold*). Determine if either player has an advantage and if so which player it is and determine a threshold value `t*` that demonstrates the advantage. I have included a sample test class for this part called `SimTest`. You should not alter this class and your code must work with it. We will test your code using something similar to this.

 **Please read**  *Here are some answers to some commonly asked questions about this problem and some tips:* 
* *Am I allowed to use different instance variables/move instance variables from one class to another?*
You can add new instance variables if you wish. You should not be moving predefined instance variables from one class to another. In general, please do not change any of the scaffolding.

* *Do we need to find the optimal thresholds for both the odd and even player?*
Just for the player with an advantage if there is one.

* *For Part 1, should I be able to play more than 1 round?*
Yes.

* *Are tokens/scores cumulative across rounds for part 1 and part 2?*
Yes.

**** I have attached the photo of 5 java files in one screenshot. Please add code to ComputerPlayer.java, Game.java and Simulation.java. The files OddEven.java and SimTest.java do not need to modify. **

O ComputerPlayer.java
OddEven.java
/**
* This class represents a computer
* player in the Odd-Even game
/**
* A tester for the Odd-Even game.
Your code must work with this program. Do not modify this class.
*/
public class OddEven{
public class ComputerPlayer{
private double t;
private int tokenBalance;
public static void main(String ] args){
Game g = new Game ();
g.play();
public ComputerPlayer(double threshold){
t=threshold;
tokenBalance=0;
// your code here
SimTest.java
/***
* This is a sample tester for Part 2 of your program
* We will use something similar to this to test your work
Your program must work with this tester
I Game.java
**
* This class represents the Odd-Even game
*/
public class SimTest{
public static void main(String ] args){
//instantiate a game with two computer players
Game g = new Game(.5,.5);
g.play(1000); // play 1000 games. Please, no print statements.
System.out.println("Player i now has "+ g.getP1Score()+" tokens.");
System.out.printin("Player 2 now has "+ g.getP2Score()+" tokens.");
public class Game{
// your instance variables here:
/* this version of the game constructor is for Part 1
* it takes no parameters */
public Game (){
// your code here
/* this version of the game constructor is for Part 2
* It requires two doubles as parameters. You will use
* these to set the initial thresholds for you computer players */
public Game (double t1, double t2){
// your code here
/* this version of the play method is for Part 1
* It takes no parameters and should play the interactive
* version of the game */
public void play(){
// your code here
Simulation.java
/**
* This class should run simulations to determine
* whether or not the Od-Even game is fair and if
* not who has the advantage and what is a strategy
* that will realize that adavantage.
/** this version of the play method is for Part 2
* It takes a single int as a parameter which is the
* number of computer vs. computer games that should be played */
public void play(int games){
// your code here
*/
/* this method should return the current score (number of tokens)
* that player 1 has */
public int getP1Score(){
// your code here
public class Simulation{
public static void main(String [] args){
// your code here
}
/* this method should return the current score (number of tokens)
that player 2 has */
public int getP2Score() {
// your code here
}
// you may or may not want more methods here:
Transcribed Image Text:O ComputerPlayer.java OddEven.java /** * This class represents a computer * player in the Odd-Even game /** * A tester for the Odd-Even game. Your code must work with this program. Do not modify this class. */ public class OddEven{ public class ComputerPlayer{ private double t; private int tokenBalance; public static void main(String ] args){ Game g = new Game (); g.play(); public ComputerPlayer(double threshold){ t=threshold; tokenBalance=0; // your code here SimTest.java /*** * This is a sample tester for Part 2 of your program * We will use something similar to this to test your work Your program must work with this tester I Game.java ** * This class represents the Odd-Even game */ public class SimTest{ public static void main(String ] args){ //instantiate a game with two computer players Game g = new Game(.5,.5); g.play(1000); // play 1000 games. Please, no print statements. System.out.println("Player i now has "+ g.getP1Score()+" tokens."); System.out.printin("Player 2 now has "+ g.getP2Score()+" tokens."); public class Game{ // your instance variables here: /* this version of the game constructor is for Part 1 * it takes no parameters */ public Game (){ // your code here /* this version of the game constructor is for Part 2 * It requires two doubles as parameters. You will use * these to set the initial thresholds for you computer players */ public Game (double t1, double t2){ // your code here /* this version of the play method is for Part 1 * It takes no parameters and should play the interactive * version of the game */ public void play(){ // your code here Simulation.java /** * This class should run simulations to determine * whether or not the Od-Even game is fair and if * not who has the advantage and what is a strategy * that will realize that adavantage. /** this version of the play method is for Part 2 * It takes a single int as a parameter which is the * number of computer vs. computer games that should be played */ public void play(int games){ // your code here */ /* this method should return the current score (number of tokens) * that player 1 has */ public int getP1Score(){ // your code here public class Simulation{ public static void main(String [] args){ // your code here } /* this method should return the current score (number of tokens) that player 2 has */ public int getP2Score() { // your code here } // you may or may not want more methods here:
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