Have a quiet time. As an alternative.
When I have quiet time, in the event my kids don't nap... then they also know that "Mommy" is also on quiet time... and that is when I do "my" things. We all do it together, but independently.
My son is napping now. My daughter is reading.
I am here, on the computer! LOL
It works for us.
(as an example of going by your child's cues: my son usually naps later... but today he was tired already... so he went to nap. And he has a cold. So he is napping already. And whenever one kid is napping, then that is "quiet time" for me and my daughter, who is home from school today).
Here is a link:
http://www.babycenter.com/0_how-much-sleep-does-your-chil...
My son is 3.5 now... he naps everyday. He has napped everyday, since he was born. It is a routine. Everyday. I don't force it... I go by his cues... and I know when he is tired. Now at his age, he naps once a day... in the afternoon. He naps for about 2-3 hours. He goes to bed at 8:30, and naps don't interfere with that ability. He sleeps fine.
He does not go to nap with a battle. He will even tell me if he is tired and then will go into his room... and do his routine. Or I give him a verbal head's up "nap time soon... finish what you are doing, then nap..." and I let him wind-down first. It takes about 1/2 hour to wind-down, pre-nap, then he goes.
I know each child is different... but even my daughter, who is 7, will nap on some days. She genuinely needs it. Or she gets very fussy.
It is a routine, daily, that we do. They know it like auto-pilot. Even my daughter will ask if she can nap sometimes, without my urging.
If my kids, son, does not nap... which is rare... we have a quiet time. He knows and understands. And, if one child is napping and the other isn't... they know to be quiet. They do know how.
It is just a routine...
I do not use bribes/threats/punishment/rewards either.
I don't force my kids to nap. I am not anal or militant about it. But it is just the way we have our DAILY routine.
Routine is the key.. or a quiet time.
Some kids can do fine without a nap... but, on some days they DO need one. So as a Mom, you need to go by your child's "cues" about it. THAT is also the key.
I have also taught my kids, that they CAN say if they are tired and want to nap... I explained it is NOT a "bad" thing to say, nor to need a nap. So, if they are tired, and they know themselves, they will actually tell me they are tired or want to nap. This is also important.
I also will tell them if "I" want to nap... and am tired. And they know to respect that...
All the best,
Susan