tanker405th
Periapt GamesGary Gygax's original Jousting game is mathematically solved!
http://deltasdnd.blogspot.com/2023/07/solving-chainmail-jousting.html
Fascinating use of mathematics.
The video goes into it more, but, there are three best strategies (Nash equilibria):
➡ (With equal probability) Aim top mid + lean left, OR aim centre mid + sit steady
➡ (With equal probability) Aim at helm + sit steady, OR aim at helm + hold shield low, OR aim top mid + lean left, OR aim top mid + sit steady, OR aim centre mid + lean left
➡ A much more complex strategy over six moves with different probabilities for each one
➡ (With equal probability) Aim top mid + lean left, OR aim centre mid + sit steady
➡ (With equal probability) Aim at helm + sit steady, OR aim at helm + hold shield low, OR aim top mid + lean left, OR aim top mid + sit steady, OR aim centre mid + lean left
➡ A much more complex strategy over six moves with different probabilities for each one