If I throw the stone, all dogs will know that I don’t have it anymore, so it would be safe for them to continue the attack (whether I hit one or miss). Therefore, it’s better for me to threaten and keep two stones rather than actually throw one.
If dogs really want to attack me, they might prefer that I throw the stone so they can attack afterward. However, I think each dog fails to consider that I’m most likely to throw the stone at another dog. Each individual dog has a small chance of being injured by the stone, and they could succeed if they continue the attack. Real hunters like wolves might understand this.
There are some game theory considerations here:
If I throw the stone, all dogs will know that I don’t have it anymore, so it would be safe for them to continue the attack (whether I hit one or miss). Therefore, it’s better for me to threaten and keep two stones rather than actually throw one.
If dogs really want to attack me, they might prefer that I throw the stone so they can attack afterward.
However, I think each dog fails to consider that I’m most likely to throw the stone at another dog. Each individual dog has a small chance of being injured by the stone, and they could succeed if they continue the attack. Real hunters like wolves might understand this.