HanP, this is the second time in this thread you have failed to read/understand or just ignored what I wrote.
Instead, you gave a nice analysis about IMPs / VPs and the grand % required to bid both. While this is mildly interesting from an academic standpoint, I would agree its close enough not to worry about. And if I was really interested in calculating the VPs and converting that into a grand %, I could have handled that one on my own.
What I was hoping for was an analysis in response to my original question:
Quote
why it would make sense to ever put ourselves in an EV- situation by not bidding a % grand?
A sample position I was thinking about presenting to the math folk was this:
- We are in a match with a weaker team. Lets say we are, on average, 1 IMP / board better.
- The weaker team will NEVER bid the grand, but will ALWAYS bid the small slam.
- We are vulnerable, so we will win 13 if we make the grand and lose 17 if we do down.
As others have indicated, the longer the match, the better our chances, but it seems as though
there is a relationship between the % required to bid the grand slam and the length of the match, and the result can be plotted on a graph. The VP result might matter for the output, but for simplicity, lets assume its a straight win/loss. I suppose you would like a % of our chances of winning the match and lets say I want 95%, but I'd be interested in some of the conclusions here as well.
As a math layperson, I compare this to a billionaire coming in and playing one hand of blackjack for a VERY large sum of money. Say the house has a 52/48 edge over me, which is a lot lower than what is required for the grand. If the casino can keep him there for 'x' hands, they might take the action. Or, they might take the action on a game that has a higher return, like the Big Wheel or Keno.
Here's a study Jeff Goldsmith put on his website a number of years ago, which also relates to some of the questions asked:
Study of IMP matches