Playing with common house rules tends to remove elements of strategy.
Not unlike real life.
Not necessarily. The games rules include an auction that is frequently removed in house rules. What's supposed to happen is if the player who lands on the space (Player A) doesn't buy it from the bank, the property is auctioned to all players.
Maybe no one owns Boardwalk yet, and Player A doesn't want to try and get the Park Place/Boardwalk monopoly. Or maybe Boardwalk is owned by Player B but Player B doesn't have any cash, so Player A thinks they can block the monopoly while paying less to the bank. Or maybe Player B does have the cash but Player A knows that B is desperate for the monopoly, so they want to drive the price up and force them to pay more.
There's more to than just rolling dice and landing on spaces.
>there is an element of strategy in Monopoly (or can be, if you take the time to learn it).
Buying every property you land on immediately from the bank for listed price is not an optimal strategy.
1. Roll dice.
2. Buy whatever you land on.
3. When everything is bought, make a few deals with other players. This takes 30 seconds and is the only skill involved in the game.
4. Roll dice until game ends.
It's 99 percent luck.
An even better calculation would be how much it's worth to each player based on what they already have as well!
That might not happen every game but it is advantageous to get a monopoly sooner rather than later. Like I said earlier you can also factor in how much money your opponents have when deciding whether to go to auction or pay list price. If everyone is cash poor that opens up opportunities for you to get deeds for low cost, increasing the properties future rate of return.
The randomness in the game means you can't just pick one optimal strategy and apply it to every game and every opponent. And if your opponents change strategy (or your opponents change), you need to adapt your strategy to accommodate for that as well.
edit: As far as the math goes, here's one such article that goes over it: https://ideas.ted.com/heres-how-to-win-at-monopoly-according...
another edit: There's also a limited amount of houses/hotels the bank has, so there's strategy around getting houses first and leaving your opponents unable to build up their monopolies (another frequent house rule is that there unlimited houses too buy from the bank). If multiple players are trying to buy houses at once and there's not enough, the houses are auctioned again to the highest bidder (hello capitalism housing shortages).
You can also sell properties you own, or choose to stay in jail (frequent house rule is that you can't collect money while in jail, but this isn't an official rule).
I think you're underestimating the complexity of your proposed calculation, and think is simply boils down to calculating how often particular spaces are landed on times the amount paid when they are landed on. I mean, it does, but the second part is not so simple.
What you have is a fairly complex strategy game, and the rest is pure luck (called dice.)
edit: I'd really be interested in seeing what you come up with (or imo, at what point you'd bail out) if you were to attempt to solve Monopoly. I'm at pessimizer@yahoo.com