On arrival into SIN I found my luggage was not there. They did a search and found AA did not send to to CX in LAX. I was promptly given SG$250 to buy clothed etc and told my bags will be delivered to the hotel in 24 hours.
Similar story for my lost baggage SYD-SIN with Qantas a couple of years ago. Paid cash straight off for the inconvenience. Bag didn't turn up for a few days though, so I ended up getting a decent compensation package from Qantas.