I've read the supposed solution, it's dumb.
First you set up a boundary, then you apply the following rules:
First person who crosses the boundary, will be killed. All others will be granted their freedom.
If someone tries to take one for the team (purposely be the one killed), one of remaining will be killed at random and the rest will be granted their freedom.
If you force someone to cross the boundary or be the last man, you will be killed, and everyone else will be granted their freedom.
If a group tries to force someone across the boundary, or be the last man, one person at random from that group will be killed, and everyone else will be granted their freedom.
If a group attempts to cross the boundary simultaneously, one person at random from that group will be killed, and everyone else will be granted their freedom.
If you try to cross the boundary en mass, the last person to cross the barrier is killed and the rest will be granted their freedom.
As long as you stay within the boundary, you are free to live how you want. Materials, tools, and supplies will be provided upon request. (Scenario says items are available)
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Essentially you want to do two things, provide an incentive for staying in the boundary beyond just not dying and MORE IMPORANTLY within the rules create a rule paradox that makes it impossible to logic their way out of their chance of being killed.