When I accept or decline a meeting invite, Calendar automatically sends an email to the person that invited me to the meeting.
OS X 10.10.2 calendar app
How can I turn this off so that no response is sent?
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This is not possible using Calendar.app, including both macOS (OS X) and iOS.
Your best bet is to submit feedback on Apple's website: https://www.apple.com/feedback/macos.html
If enough of us do it hopefully they'll add the functionality.