This looks very similar to Google sitelinks
Those are Google sitelinks.
It happens quite often that websites with lower SERP have no sitelinks and some with higher SERP have sitelinks. There is also variation: "large sitelinks" that are far the best, but those can be only by the #1.
I think the main reason why this happens is that you are not #1 everywhere (in any geo). Just look at the webmaster tools what is your average position. If you are #1 for online poker usa not in USA, that can be the reason.
What might also help is sitemap and more importantly: to have more interesting subpages for the search term "online poker usa". Like if the people who look for the term find only one page related to the search term and your competition offers them more pages, then you maybe have the reason.
If you talk to God, you are praying; If God talks to you, you have schizophrenia.