At somebody’s discretion
Definition 1 of 1
Pro Tip 1/3Personal Power
The phrase suggests that the person has the authority to make a choice based on their own judgment. 
Admission to the club is at the owner's discretion.
Pro Tip 2/3Context Sensitive
Its use often implies that there's a trust or expectation for the person to make responsible decisions. 
Special discounts are given at the cashier’s discretion.
Pro Tip 3/3Responsibility Hint
Using the phrase can indicate that the decision-maker should consider the situation carefully. 
You may leave early at your supervisor's discretion.