monopyly

A Monopoly Board Game Simulator

Goals

The goal of this script was to simulate a single player moving around a Monopoly board.

I wanted to know the average percentage chance of landing on any given square and any square type.

Process

The script simulates X rounds over Y iterations to calculate the percentages.

If there were no chance and community chest cards or the Go To Jail spaces, after a few rounds I would expect an even distribution of landing on any given square.

However, because a player can be artificially moved around the board, some squares and types are landed on more than others.

Results

Running the script for 100 rounds over 1 million iterations, I got these results:

Squares:

•      Go: 1.827%
• Mediterranean Avenue: 1.318%
•      Community Chest: 1.404%
• Baltic Avenue: 1.481%
•      Income Tax: 1.683%
•      Reading Railroad: 2.273%
• Central Avenue: 1.77%
•      Chance: 1.906%
• Vermont Avenue: 1.853%
• Connecticut Avenue: 1.824%
•      Jail: 11.478%
• St. Charles Place: 2.266%
•      Electric Company: 4.033%
• States Avenue: 1.634%
• Virginia Avenue: 3.846%
•      Pennsylvania Railroad: 1.826%
• St. James Place: 4.223%
•      Community Chest: 1.753%
• Tennessee Avenue: 4.561%
• New York Avenue: 2.081%
•      Free Parking: 4.856%
• Kentucky Avenue: 1.754%
•      Chance: 5.124%
• Indiana Avenue: 1.732%
• Illinois Avenue: 3.815%
•      B. & O. Railroad: 1.979%
• Atlantic Avenue: 2.967%
• Ventnor Avenue: 1.658%
•      Water Works: 2.724%
• Marvin Gardens: 1.614%
•      Go To Jail: 2.347%
• Pacific Avenue: 1.665%
• North Carolina Avenue: 2.031%
•      Community Chest: 1.648%
• Pennsylvania Avenue: 1.661%
•      Short Line: 1.48%
•      Chance: 1.408%
• Park Place: 1.338%
•      Luxury Tax: 1.32%
• Board Walk: 1.841%

Types:

•      Go: 1.827%
• Brown: 2.799%
•      Tax: 1.683%
•      Railroad: 7.559%
• Light Blue 5.446%
•      Chance: 8.437%
•      Jail: 11.478%
• Pink: 7.745%
•      Utility: 6.756%
• Orange: 10.865%
•      Community Chest: 4.804%
•      Free Parking 4.856%
• Red: 7.301%
• Yellow: 6.24%
•      Go To Jail: 2.347%
• Green: 5.357%
• Dark Blue: 4.499%

Conclusion

Based on the results, the Jail square (both in jail and visiting jail) is the most visited square at 11.478%. As for housing types, Orange is the most landed on at 10.865% followed by Pink and Red at 7.745% and 7.301% respectively.

It makes sense the Orange would be the most visited type given that Jail is the most visited square. The average roll of two dice will be 7 and Orange is 6 to 9 squares away.

Pink accounts for the rolls from Jail that are low and Red accounts for the rolls from Jail that are high.

How to Run

1. Via a command line, change to this git repository on your local machine.
2. The simulate.py module accepts two positional arguments: rounds and games.
3. Type python3 simulate.py rounds games (changing out rounds and games for the integer values you want)
   • e.g., python3 simulate.py 100 1000000 for 100 rounds for 1,000,000 games

Note: This Python script uses Python 3. Make sure to use the appropriate Python call.