Wednesday, March 17, 2021

Monopoly Strategy

 Most people think it is all about Boardwalk and Park Place, but designing an algorithm for winning Monopoly is fairly complicated. Listed below is every property along with its location on the board, price, rent, price/rent ratio, and intrinsic value, which is the price the property would cost to make the price/rent ratio equal 12.14 (the average for all properties). For the utilities, I assume the dice roll is seven (which should be the average when rolling two dice). The big caveat here is that I didn't consider the various ways of increasing the value of a property (getting both utilities rather than one, multiple railroads, monopolies, houses, and hotels). Some might argue that additional value should be assigned to Mediterranean, Baltic, Park, and Boardwalk because they only require two purchases to get a monopoly. 

PropertyLocationPriceRentPrice/RentIntrinsic Value
Mediterranean Avenue16023024
Baltic Avenue36041549
Reading Railroad5200258303
Oriental Avenue610061773
Vermont Avenue810061773
Connecticut Avenue912081597
St. Charles Place111401014121
Electric Company12150285340
States Avenue131401014121
Virginia Avenue141601213146
Pennsylvania Railroad15200258303
St. James Place161801413170
Tennessee Avenue181801413170
New York Avenue192001613194
Kentucky Avenue212201812218
Indiana Avenue232201812218
Illinois Avenue242402012243
B. & O. Railroad25200258303
Atlantic Avenue262602212267
Ventnor Avenue272602212267
Water Works28150285340
Marvin Gardens292802412291
Pacific Avenue313002612316
North Carolina Avenue323002612316
Pennsylvania Avenue343202811340
Short Line 35200258303
Park Place373503510425
Boardwalk39400508607
Average


12.14

People might be surprised that Boardwalk did not come in as the best deal, but is tied with Park Place and the railroads behind the best buys on the board: the utilities. I charted the properties by location and price/rent below.

The instinct that the deals improve as one moves toward the end of the board is generally true, but one ironic thing to point out: Mediterranean Avenue (by far the worst deal) is on square 1, so when playing with two dice it will actually on average take longer to land on than any other property on the board.

Tuesday, March 9, 2021

Buying Teslas with Bitcoin

 A brief comment must be made about recent predictions for bitcoin to become some kind of international currency standard. Personally, I've never managed to get excited about a nonproductive asset with no usefulness outside of its perceived value, but a lot of people have gotten excited about it, and made a lot of money with it. Tesla announced last month that it purchased $1.5 billion worth of bitcoin, and plans to start accepting it as payment. Below is a chart comparing bitcoin futures to the Euro/Dollar over the last year. 


What I'm trying to understand is the fact that predictions for bitcoin adoption seem to be tied to its increasing value. For normal currencies, deflation is usually seen as a cause for major concern. One could imagine that if everyone is buying their Teslas with bitcoin, Tesla will have to continually decrease their prices (as the value of bitcoin rises). This will cause buyers to hold off on purchases. Why pay 1 bitcoin for a Tesla this week if it will probably only cost me .9 bitcoin next week? Meanwhile, Tesla is further stressed from the other side of the equation as the price it is now trying to sell cars for is less than what it paid workers and suppliers to build them. By the way, I originally planned to chart a few other major currencies for comparison, but they appeared to have lines pretty much identical to the Euro.