My latest Decoded Science article, "The Probability of the Allais Paradox in Lottery Preferences", explains this effect and why it actually worries some mathematicians.
As always, I also promote my article in DeHaan Services, where "Lottery Sabotage by the Allais Paradox" adds a teaser for this topic.
Writing Tip
If you commit to a series of articles, then you should seize specific topics as they present themselves or, perhaps, based on what is most exciting.
With the "Probability" series just beginning, I had known that I wanted to explore paradoxes. The "Allais paradox" was new to me, but I thought it gave a fascinating insight into the conflict between math and psychology.