Hi all,
I was bored today so have been having fun messing around with some graphs that may be of interest to others.
I'm not sure it turned out great; its a little difficult to understand but there are some interesting bits of info that can be learnt from the graph.
I didn't include offers 5 and 6 as they would have clogged up the graph too much making it difficult to understand. I might try using those for another graph.
All joke offers (like Lucy's £50, John G's 8 pounds, and the Swap Offers) are not included when the average is calculated.
The key shows which offer each line refers too.
The straight lines show what the mean is of a certain offer for the first 270 games. e.g. the straight yellow line is the average 1st first offer for the first 270 games.
1st Offer - Deal of 17
2nd Offer - Deal of 14
3rd Offer - Deal of 11
4th Offer - Deal of 8
What I thought:
1st Offers have risen relatively uniformly continuing to rise more steeply in recent games. I will be surprised if 1st offers keep rising for much if any longer.
2nd offers have had to follow the same trend as 1st Offers so it shows no surprises that the line is similar, just with an average of £2,500 more. The gap between 1st and 2nd offers has got larger and larger showing in strong starts the bank has increased his offer more and more.
The 2nd offer will reach the average winnings soon if the banker doesn't calm down his inflated early offers. (not necessarily a bad thing)
Offer 3 starts to get into the realm of depends-on-the-game, and when this is a graph of actual offers rather than generosities it can just depend on the strength of the game, but what is interesting is the following:
Offer 4 is always around £2,500 to £4,000 higher than Offer 3 on average until Game 140 where both decline sharply, probably due to a run of bad games. They both rise sharply as well mainly due to a run of strong games but possibly the bank is experementing with generosities and varying the offers a lot. When the two lines come out of their large oscillation at around Game 210 it is Offer 3 not Offer 4 that is around £2,500 to £5,000 more than offer 3 - completely different to what happened for the first 140 games.
The fact that offers 1 and 2 have increased signficantly and Offer 3 to an extent, and Offer 4 is currently a little lower than the earlier games show a possible strategy to make the player have to turn down larger values at first, but then receive lower offers later on to make the player to play on to chase their high earlier offers or to create more dramatic finishes.
For the last 20 games in fact, on average it has been only slightly worse to gon the 1st offer than the 4th offer with the 2nd and 3rd offers being the best time to go.
Considering that for the last 40 games going at the 2nd offer has been better than going at the 4th, it is surprising that we still don't have any dealers at that time.
Comments/thoughts, other analysis is welcome. Ideas or requests for other graphs anybody would like to see is welcome.
That was probably OTT and too complicated so it probably won't be that useful, but hey, I had fun doing it
*All thanks to the screwthebanker spreadsheet*