No results found for First, I appreciate those who have returned to the discussion to post results, as well as expressed acknowledgement and thanks to me and others for the solutions we have offered. Glad to help and it worked (for most?!).
Second, to update my experience, since my original post and performing the permissions repair and removing the network access wake option, I have not had any issue with any of my Macs renaming themselves. I have never used iCloud or Back to My Mac.
Incidentally, this is not a router issue, as routers do not name a device; it would simply report that a device already has a particular name, and there cannot be duplicate names on the network, in which case the OS would have to respond/take an action. I use an ASUS router in one location and an Airport Time Capsule in another.
Some of you are reporting strange renaming behaviours indeed, and who knows the myriad variables in play with each situation. Hopefully this annoying issue gets resolved in the next OS update, which was seeded to machines with the beta Yosemite just a few days ago, and meanwhile the solutions posted here do the trick.
Cheers.
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