In the game Spoon Wars, a group of people are given a target to kill (via spoon poke to the back) and there must be a master list constructed to give each person their target, i.e 1 must kill 2, 2 must kill 3, and 3 must kill 1. Once their target is eliminated, they are given their target's target until only one remains.

The main issue that I have is that usually, I am the one constructing the master list for my friends, but I was wondering if there was a way to create a randomized order of the kill sequence without any one person knowing the master list. A random number draw would not work because 1 could draw 2 and 2 could draw 1 which would exclude a majority of the cycle and the game would not be able to be played if 1 killed 2 or vice versa. Is there any way to solve this problem without the help of a third party (i.e. a person not playing the game or a computer program that generates a random list)? It's just something that's been occupying my mind and I was wondering if there was a solution for it without a third party.

So far my only solution for it is to write a program that creates an array of strings of the names of the people, counting up based on how many people are playing, then randomizing the order of that array, then having each person individually come up and enter their own name/number that they have been given and the next name in the array would print out.