This is my favourite technique. 
It reverses the sequence of requests used with the foot-in-the-door
technique. Make a very large request that is likely to be turned
down in order to increase the chances that people will agree to a
smaller request later (the one desired in the first place).
For example, you wanted to apply for 2 weeks no-pay leaves during a
very busy month. Approach your manager and asked to apply for 1
month. After rejecting your request, cut it down to 3 weeks and
finally to 2 weeks. After rejecting you twice, chances are she may
approve your 2 weeks no-pay leaves.
Another example, a conman after telling you his plights may ask for
$50. After you have rejected him, he may continue to beg you until
you give in to a much smaller amount maybe $2 - $5.
Any other examples?