John von Neumann, John Nash's and Ennio De Giorgi's Game Play Pecking Order

My previous posts centring around John Nash had me thinking and so I decided to read a bit more from his wiki page, until I came to this excerpt: 

In 2002, PBS produced a documentary about Nash titled A Brilliant Madness, 

I clicked the link to the documentary re: A Brilliant Madness (above),  and from there I clicked on the "Interview" link and then again to another link re: The Most Original, where Nash states: 

 I did that in game theory also.

So then I clicked on the above  link found in "game theory" , arriving at the following quote from Avinash Dixit (do note the "nash" suffix in his first name):

Game theory got its start with the work of John von Neumann in the 1920s

Since John von Neumann is another addition (on top of John Nash) to the recent "John..." pattern-cluster, I decided to check out John Von Neumann's wiki page where I discovered the following:

John von Neumann (/vɒn ˈnɔɪmən/; December 28, 1903 – February 8, 1957

His date of death, February 8th stood out... I recollect this same date cropping up in my previous post, made earlier today, entitled "Ennio De Giorgi, October 25th, and Sylvia Nasar's Nose", note this excerpt: 

Usually when things come in two's like this, the inner twin world played a part.  Note the following from Ennio de Giorgi's wiki page:

• Ennio De Giorgi (8 February 1928 – 25 October 1996) 

Ennio De Giorgi has a unique connection to John Nash as per this next excerpt from the post:

As a continuation from my previous post re John Nash, I noted the following from his wiki page rehttp://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.:

• In the book A Beautiful Mind, author Sylvia Nasar explains that Nash was working on proving a theorem involving elliptic partial differential equations when, in 1956, he suffered a severe disappointment when he learned of an Italian mathematician, Ennio de Giorgi, who had published a proof just months before Nash achieved his proof. Each took different routes to get to their solutions.  

I wasn't able to find an etymology source of the name Ennio, butt my suspicion is that it's related to John via the original source Ionnis, note the Irish versiton of John re "Eoin" found at http://www.behindthename.com/name/eoin .

So what sort of game theory would John Nash, Ennio De Giorgi and John von Neumann apply to the inner twin world?!