Numbers Game Simulator

Overview

This project implements a simple two-player Numbers Game simulator in C++. It is based on a game introduced in an Artificial Intelligence course at Wrocław University of Science and Technology (PWr). The purpose of the simulation is to model interactions between players using a fixed strategy over multiple rounds and analyze the outcomes.

Game Description

The Numbers Game is played between two players who simultaneously choose a number from the set {1, 2, 3}. The selected numbers are added together to compute the sum. If the sum is even, then Player 2 pays Player 1 the amount equal to the sum (in zlotys). If the sum is odd, then Player 1 pays Player 2 the amount equal to the sum.

Strategy

Both players use the same optimal mixed strategy derived using Game Theory:

• Choose 1 with probability 1/4
• Choose 2 with probability 1/2
• Choose 3 with probability 1/4.

Implementation Details

Game Setup

Each player is assigned a sequence of numbers based on fixed strategy. These numbers are stored in vectors and are selected randomly using rand() during the simulation.

Game Loop

In each round:

• A number is randomly selected from each player's remaining set.
• The selected numbers are added together.
• If the sum is even, Player 2 pays Player 1 the sum.
• If the sum is odd, Player 1 pays Player 2 the sum.
• The chosen numbers are removed from the players’ sets to ensure no repetition.

Optional Multi-Test Mode

The code includes commented-out sections to support running multiple simulations and computing the average score for Player 1:

• Uncomment lines related to globalSum, testsNumber, and loop logic in main() and runGamesSet() to enable.
• This allows for analyzing results over many trials for statistical significance.

Project Structure

• main.cpp: Main source code for the project.
• README.md: Project documentation

How to Run

Clone this repository:

git clone https://github.com/zuzdud/numbers-game-simulator.git
cd numbers-game-simulator

Compile the program:

g++ -o numbers main.cpp

Run the executable:

./numbers