Happy Pi-day

Would one of the old folks here remember a thread pertaining to a mathematical game looking like tug-of-war we tried to analyze back in the days ?
It went like this, two players have a budget of 50 coins, there is a pawn at the center of a line of n squares. Each turn the players bid so many coins and the one with biggest bid push the pawn and wins if he reach the end of the board.
Someone after a few days managed to compute a Nash equilibrium (I learned about this then long before it was a trend to solve poker), and all I remember is that this equilibrium showed you should bid mych mote even than odd.
This oddity always puzzled me, I asked chatgpt to solve this game and in a few minutes he found a Nash equilibrium with the same oddities but capped between 1 and 7.
I'd like to reread the thread but it seems to have disappeared.
Maybe we should revive the best old threads (oldies but goldies)?

Sorry for the typos, the main sentence was "you should bid much more even bids that odds ones".
Chatgpt "thinks" it may be to avoid draws a bit like "chose your side of the road to drive".

I recall encountering this game at IJCAI '97. I think it was called "Alice"?

Thanks William, I could not find it on IJCAI 1997 web page, would you remember more, I guess the name used here when we analyzed it was different.

I see there was a Domineering and Dots and Boxes tournament for a $1000 price. I think it is the one organized by Elwyn Berlekamp referred here ?
There are many wonderful videos with regretted John Conway put out by Simons Foundation recently.

Here's the paper:

http://ch.meyer.free.fr/Ijcai.htm

(Rereading the paper, I see that the game was called "ALESIA".)

I know that Dr. Berlekamp organized a number of tournaments. I competed in both of those at IJCAI '97 -- I did pretty well in the dots and boxes (perhaps second?) but horribly in domineering.