Pseudorandom numbers to break a tied referendum? Talk about overthinking. Nevada does it better. They literally draw cards from a deck. This has happened as recently as 2002.
http://napavalleyregister.com/news/candidates-draw-cards-to-...
http://napavalleyregister.com/news/candidates-draw-cards-to-...
[1] - https://www.google.de/search?q=winning+at+rocks,+papers+scis...