Leasing sometimes makes sense if you are generating revenue from your machine. Say a game leases for 250 a month however it generates 600 a month in revenue. There is a positive cash flow of 350.00 and in most cases a portion of your lease payment is tax deductible. Every 24 months the game gets rotated for the latest and greatest. However when the machine is not a strong earning piece this model is not as attractive. Sometimes costing you money per month plus you have no way of selling the game to partially recoup your initial investment.
With arcade machines it makes more sense because of the depreciation factor. Pinball is expensive although it's resale market is much stronger then most other hobbies. Buy a game for a semi good deal and in 12-24 months the game usually maintains its value. If you choose to operate this game the resale value drops a percentage however the revenue that you have collected from the machine is usually far greater than the loss of resale value.
These figures are generic numbers just used for demonstration purposes. There are benefits both ways however evaluate all options prior to making any large financial decision.
The more you know.