Well that won’t happen I assume unless this will go into book six as there is only a 15 year timeskip
What would the scenario be for no one winning?
The contest has to be less than 15 years, probably (hopefully) and if it drags out that’s fine. So death of old age is ruled out
The only way to tie is to both die a the same second. Which is very unlikely.
If Dalinar refuses to fight I assume Taravangian will go free. He could just stand on the tower for 15 years but that would be pretty Anti-climactic. So I assume we won’t know what will happen for the next few years.