The problem with monopoly is that it fits your description....BUT!!! nobody actually plays it the right way. House rules are so ingrained into monopoly culture, that I've incorporated my own house rule. Anyone who puts money under free parking gets stabbed with a knife. When they tell me that's not in the rules, I tell them to show me where money under free parking is in the rules. There's so many of these house rules that people legitimately think are in the rulebook. They aren't. So if you want to put money under free parking, I want to stab your hand with a knife. House rules and all.
One time I was playing monopoly with my mom. She had 53 dollars, and landed on boardwalk. It was unowned. I yhen said "I bid $54. She said "you can't do that....". I showed her in the rule book where I could, and she got angry at me.
So, the problem with monopoly is that most people assume they know how to play, and also assume they know the best stratagies. They don't.
The best stratagy is actually to buy 1 of each property that can have houses built on them. Prioritizing the low cost properties first. Make THEM buy 2 of each, thinking they'll get the monopoly, thinking they'll get a trade. Then drain them further with the railroads and utilities. Eventually they'll run out of money. Just NEVER trade them a property that would allow a path to them getting a monopoly.
Of coarse, all of that is easier said than done. That's what makes it a game. But it all falls apart if people aren't playing the same game.