- The recipient of your compliment may blow you off.
Response: "Oh, anybody would have said the same thing."
- The recipient of your compliment may react negatively
Response: "My stepfather gave it to me so I feel like I HAVE to carry it around."
- The recipient of your compliment may react in an unexpected way
Response: The recipient bursts into tears, "Yes, but did you see how Mr. X looked at me - I know I'm going to get called on the carpet."
So as you can see, it is an assertive act to give a compliment because although nothing is required of the other person in the way of a response, there are many ways in which someone can respond.
On your part, work on the assertive challenge of receiving compliments well. An assertive way to receive a compliment is simply to say, "Thank you." Fight any effort to throw away the compliment, negate the compliment or react in any other way than a simple thank you.
If you can achieve this, you will have taken a step in the direction of good assertiveness!