Most of us are familiar with the strategic use of stalling tactics at points in tournament play; for example, adjusting your playing speed to ensure the blinds increase before they pass through the small stack at the table.
This has got me thinking about other "clock management" tactics. Recently, I've been honing my shorthanded play by playing Spin & Gos at Pokerstars -- in this format on Pokerstars, the blinds increase every three minutes. You have 10 seconds to act, with a 10 second time bank.
Consider the following scenario -- you find yourself heads up against an opponent after just a few hands at the 10/20 level; say the chips are 900 for you and 600 for your opponent. Your opponent, being uncomfortable with heads-up play 30 blinds deep, decides to play shove fold from the SB, and will play the minraise-shove game from the BB. Further assume that both of you have the Nash tables for these games from Tipton's books, so you'll both play "optimally".
Since the answers to date seem to be straying off topic somewhat, let me revise the question to better focus the responses.
There are N seconds before the blinds increase to 15/30. You are in the big blind facing a shove from the small blind. You do not have a calling hand.
If you play "fast" and fold immediately, you will play one or more additional hands at the 10/20 level.
If you play "slow" and stall, you can ensure that on the next hand the blinds will have increased to 15/30 and you will be in the small blind.
Is there any value N (or, put alternatively, an expected number of hands yet to be played at 10/20) for which you will change your choice between acting "fast" or "slow"?