I didn't look up the Platis case- no time. Doesn't matter anyway, because that was a Washington ruling and would have nothing to do with your Oregon laws. Remember to keep your States separate.
I quickly went through Oregon Statutes and rulings on my lunch break. I couldn't find anything about tournaments (except specifically Bass fishing tournaments and one ruling on a golf tourney.) I searched every combination of keywords and their various forms (like gambling/ gamble/ gambler) I could think of- incl. tournament, billiard, pool, competition, wager, bet, etc etc. I really didn't find much outside of horseracing and indian casinos.
But. I found:
a repeated reference to the sure legality of "mutuels," in which players are competing for a pool of their own money.
a repeated admonition that the business or home that hosts competitions should not profit from the competition (the house cutting the pot may well fall here)
a reference to "bankrollers" being illegal- with a possibility that it could actualy be illegal for the house to add money.
cases against everyone from Sheriffs to prosecutors for failing to prosecute/ arrest gamblers. (!)
Finally- I found that your State gives the ability to cities and counties to make up their own rules in regards to gaming, competitions, etc. In which case you really would have to look up the local laws.
Last thing- there was an OR law dated 2007 that says that a gambler who participates in an illegal bet has a right to twice the value of the amount lost in the gamble, from the illegal bookmaker. The law looks like it was geared towards parlay tickets or numbers, but whoa. And yes, it specifically said "illegal bet."
Again- I'm short on time, but if anyone else is familiar with these OR laws, please speak up.