Monopoly as a Markov Chain
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Monopoly as a Markov Chain
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Re: Monopoly as a Markov Chain
#2A very interesting little experiment! Based off this, the author notes that the orange streets will provide a steady stream of income, and this is useful information.
But the trick in Monopoly is to get hotels on your properties as quickly as possible, because this not only provides you with a revenue stream (and fastest return on investment), but also takes money away from your competitors, who would have used it to buy/upgrade their own properties. An important factor is therefore how quickly you can acquire all the streets in a block so you can start putting up hotels, and p * rent of a single street is only one part of that equation.
Re: Monopoly as a Markov Chain
#3This is also solves project Euler assignment 84.
Re: Monopoly as a Markov Chain
#4"players can go bankrupt" is listed twice at the end.
Re: Monopoly as a Markov Chain
#5A very interesting little experiment! Based off this, the author notes that the orange streets will provide a steady stream of income, and this is useful information. But the trick in Monopoly is to get hotels on your properties as quickly as possible, because this not only provides you with a revenue stream (and fastest return on investment), but also takes money away from your competitors, who would have used it to…
Instead of hotels, put 4 houses as quickly as possible so there are no houses left for other people to build. Only upgrade to hotels when you can afford to put the houses that will become available onto another of your properties. Other people's sets are worthless to them if you own all the houses.
Combine this strategy with the fact that the highest ROI on most properties is 3 houses, and you have a winning strategy against most non-experts.
1. Do whatever it takes to get cheap sets (other than risking somebody else getting the red or orange set). This is where blues and purples are very useful.
2. Put as many houses as you can as quickly as possible.
3. Wait for desperate people to trade with you to get the oranges or reds.
4. Spread your houses across the sets you own with 3 on each property, prioritising the reds and oranges.
NB - nobody likes me at Christmas.
Re: Monopoly as a Markov Chain
#6A very interesting little experiment! Based off this, the author notes that the orange streets will provide a steady stream of income, and this is useful information. But the trick in Monopoly is to get hotels on your properties as quickly as possible, because this not only provides you with a revenue stream (and fastest return on investment), but also takes money away from your competitors, who would have used it to…
Instead of hotels, put 4 houses as quickly as possible so there are no houses left for other people to build. Only upgrade to hotels when you can afford to put the houses that will become available onto another of your properties. Other people's sets are worthless to them if you own all the houses. Combine this strategy with the fact that the highest ROI on most properties is 3 houses, and you have a winning strategy…
But what about the street repairs card?
IIRC it is only 2-3 times the price of a house for a hotel.
Re: Monopoly as a Markov Chain
#7A very interesting little experiment! Based off this, the author notes that the orange streets will provide a steady stream of income, and this is useful information. But the trick in Monopoly is to get hotels on your properties as quickly as possible, because this not only provides you with a revenue stream (and fastest return on investment), but also takes money away from your competitors, who would have used it to…
Instead of hotels, put 4 houses as quickly as possible so there are no houses left for other people to build. Only upgrade to hotels when you can afford to put the houses that will become available onto another of your properties. Other people's sets are worthless to them if you own all the houses. Combine this strategy with the fact that the highest ROI on most properties is 3 houses, and you have a winning strategy…
That last line is the rub here. I used to play Monopoly as if my life depended on it. Now I don't, because no one will play Monopoly against me anymore.
Re: Monopoly as a Markov Chain
#8Earlier quoted context omitted.
Instead of hotels, put 4 houses as quickly as possible so there are no houses left for other people to build. Only upgrade to hotels when you can afford to put the houses that will become available onto another of your properties. Other people's sets are worthless to them if you own all the houses. Combine this strategy with the fact that the highest ROI on most properties is 3 houses, and you have a winning strategy…
But what about the street repairs card? IIRC it is only 2-3 times the price of a house for a hotel.
Hope that you don't pick it up! In the end, Monopoly is a game of luck. Sometimes you lose because you constantly get sent to jail, and never land on unbought properties. All you can do is improve your odds, and this is the most surefire way I've found of doing that.
You can improve your odds of not picking it up slightly by never using the 'or take a chance' cards, and if all the properties are bought, stay in jail as long as possible.
Re: Monopoly as a Markov Chain
#9Earlier quoted context omitted.
Instead of hotels, put 4 houses as quickly as possible so there are no houses left for other people to build. Only upgrade to hotels when you can afford to put the houses that will become available onto another of your properties. Other people's sets are worthless to them if you own all the houses. Combine this strategy with the fact that the highest ROI on most properties is 3 houses, and you have a winning strategy…
That last line is the rub here. I used to play Monopoly as if my life depended on it. Now I don't, because no one will play Monopoly against me anymore.
Agreed. I've found the best way to play games against friends is to disconnect my competitive spirit and anlytical mind and just sit back and enjoy the conversation. I have fun, and those folks who are hyper-competitive get another "victim", so it's good for everybody.
Re: Monopoly as a Markov Chain
#10Earlier quoted context omitted.
That last line is the rub here. I used to play Monopoly as if my life depended on it. Now I don't, because no one will play Monopoly against me anymore.
Agreed. I've found the best way to play games against friends is to disconnect my competitive spirit and anlytical mind and just sit back and enjoy the conversation. I have fun, and those folks who are hyper-competitive get another "victim", so it's good for everybody.
That, however, means a monopoly game can easily last 5 hours.
The only way to play monopoly is to be brutal and eliminate everyone as quickly as possible.
(Ignoring the best way to win is to not play, and play any of the very much better games)