A few years ago, all adult humans (>=18 years) gained the power to kill another person just by thinking about it as described in [this question](https://worldbuilding.stackexchange.com/questions/19095/how-can-a-society-function-if-everyone-could-just-kill-anyone-by-just-thinking-i) in an event known as ThoughtKill. Assuming that most of the population has survived and national identities have also survived, how could a nation be lead while preserving the anonymity of the leaders? Policy still needs to be set, plans made. 

Would this herald a Golden Age of politics where policies survive on their merits instead of the force of the personality of the leader to push that policy? Clearly popular politics won't survive because all it takes is one unhappy and murderous person to kill a candidate. 

Let's assume that the Internet is still working but with a slightly reduced scale and power than it did pre-ThoughtKill. 

A few things to remember:

* To kill someone, you have to really mean it. Casual thoughts of "I wish so and so was dead" won't do anything.
* You must have a clear mental picture of a person to kill them. Having murderous intent for a racial or socioeconomic group won't do anything.
* Thankfully the gift doesn't extend to people below age 18.
* So far, murders by this method are untraceable.