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. 

Property	Location	Price	Rent	Price/Rent	Intrinsic Value
Mediterranean Avenue	1	60	2	30	24
Baltic Avenue	3	60	4	15	49
Reading Railroad	5	200	25	8	303
Oriental Avenue	6	100	6	17	73
Vermont Avenue	8	100	6	17	73
Connecticut Avenue	9	120	8	15	97
St. Charles Place	11	140	10	14	121
Electric Company	12	150	28	5	340
States Avenue	13	140	10	14	121
Virginia Avenue	14	160	12	13	146
Pennsylvania Railroad	15	200	25	8	303
St. James Place	16	180	14	13	170
Tennessee Avenue	18	180	14	13	170
New York Avenue	19	200	16	13	194
Kentucky Avenue	21	220	18	12	218
Indiana Avenue	23	220	18	12	218
Illinois Avenue	24	240	20	12	243
B. & O. Railroad	25	200	25	8	303
Atlantic Avenue	26	260	22	12	267
Ventnor Avenue	27	260	22	12	267
Water Works	28	150	28	5	340
Marvin Gardens	29	280	24	12	291
Pacific Avenue	31	300	26	12	316
North Carolina Avenue	32	300	26	12	316
Pennsylvania Avenue	34	320	28	11	340
Short Line	35	200	25	8	303
Park Place	37	350	35	10	425
Boardwalk	39	400	50	8	607
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.