Question

IN JAVA 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. You can imagine a single session between two players involving many games. At the end of a session, one player may have won many tokens from the other. Write a new 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 single simulated game need not print or return anything. 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.

Name: in java 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
Uploaded: 2023-05-05T02:46:13-08:00
Duration: 1 min 41 s
Channel: Numerade
Description: in java 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 JAVA
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. You can imagine a single session between two players involving many games. At the end of a session, one player may have won many tokens from the other.
Write a new 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 single simulated game need not print or return anything. 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.

Added by Jacob R.

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