How we change what others think, feel, believe and do
Make the other person three offers.
First offer them something sumptuous and expensive that is beyond their budget. Not so far beyond them that they would not consider it. Ideally, it is something they would look at wistfully but just couldn't justify (if they do, it is your lucky day!).
Secondly, offer them a solid good deal that is within their price bracket. It may not have all that they wanted, but it is clearly good value for them.
Finally, offer a severely cut-down deal in which very little of what they want is included.
They should, of course, go for the middle option.
The Bracket Close works by contrasting the preferred option both upwards and downwards.
Rejecting the higher option lets the other person feel good about not spending too much. By comparison, the option they choose seems quite prudent and they may even feel they have saved some money.
Rejecting the lower option lets them feel they are not a cheapskate and can afford something of value.