In that case you can ignore my previous permission based solution. What you seem to need here is, users belonging to a custom role:
1- should have access rights to only create a rule and rename it
2- should not be able to rename/delete any rule created by "others"
If this is true, I am not 100% sure if this is possible because rules are not related to any user so cannot determine if the rule was created by him or others. Moreover sitecore existing Role "Analytics Personalization" is what broadly dictates that the user belonging to this role has permission to create personalization rules. As per "doc.sitecore.com/.../the-security-roles.html"
, it says "Members of this role can create and edit personalization rules".
Austin Kimmel (austinkimmeldowcorningcom_214863960)