A king imprisons 100 travellers. He announces: If between 30% - 45% of the travellers press the golden button, everyone goes free. If outside of this range, everyone stays. What do you do?

youd want everyone to trust you to press, which means they wont. its a trust game and thats the lose condition

if 100 people all think the same way about this, nobody presses anything. coordination on who doesnt press is impossible

everyone should press it obviously. if the king didnt want us free he wouldnt have set a loophole

the trick is getting 100 strangers to agree on who sits out. never works but i respect the problem