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How to incentivize a real-estate broker to find me a cheap house
Shop lots of houses.  Find at least three you want and start by offering a low price and working your way up.  Your risk is that houses you would have liked get bought by someone else while you are negotiating, that is how you discover how much you actually have to pay to get a house.   Brokers only get paid if a deal closes.  That is their incentive to get you a better price.  If they know you will buy a different house unless the one they are selling gets your business, then they will work to make that happen.