How to get this quest
Go to Verdeaux's book cafe and talk to the Luck professor about Luck Theory.
This quest branches into two possible objectives: win a debate against the professor or, if you have Theft II, help him sell his products.
The debate
Before debating, know it is impossible to win the debate without meeting one of those conditions:
Here is the list of the best answers to give to the professor's claims:
Winning the debate reduces Roland's popularity by 10.
Selling lucky items
This path is straightforward and leads to a total of 4 Vice actions. The only two conditions you need to meet are to have 2625 G to start buying the items you will sell and beat Rene.
The total gold reward for completing the quest this way is 5050 G.
Selling the items and reporting back also increases Roland's popularity by 10.