When you are drafting your estate plan, one of the items that you'll have to decide is who will be the executor or trustee. The person or entity you choose has several certain important decisions and obligations. For example, they will decide whether certain tax elections are made in your estate, whether an allowance is paid to the surviving spouse, where the funds are invested and when distributions are made.
Naming more than one individual as a personal representative may be a solution that avoids any potential deadlock, but it also creates some complexity in the administration of the estate. Naming only one child as the personal representative also creates a potential source of disgruntlement from the other kids. Meanwhile, naming a corporate trustee avoids many of the issues...at a cost.
If you have any potential concerns about how your kids will handle the administration issues, leave the power to a third party alone to decide these questions, or provide for a mechanism for the kids to handle the dispute (mediation, random, etc.