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June 3, 2015

Wednesday, June 3, 2015

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I’m sad Dan Feitel is gone – he was fun to watch, and he certainly kept things interesting. Will our new champ begin a streak of his own?The Final Wager – June 3, 2015

Things aren’t looking good for Jacob right now.

Jacob

Johnson

Pete

Miranti

Jami

Griffeth

5,200 15,000 16,800

“It’ll all come down to wagering and our players’ knowledge of:” *glink*

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Well, this one should be fun.

First-order calculations

Second doubles up

If Pete doubles his score, he’ll have 30,000.

To cover this all-in wager, Jami will need to wager 13,200.

Jacob
Pete
Jami
5,200 15,000 16,800
15,000 13,200
30,000 30,000
min max min max min max
13,200

If Jami is wrong, she’ll have 3,600.

To stay above her total, Pete can wager up to 11,400.

Jacob can wager up to 1,600.

Jacob
Pete
Jami
5,200 15,000 16,800
1,600 11,400 13,200
3,600 3,600 3,600
min max min max min max
1,600 11,400 13,200

Third doubles up

A successful doubling will put Jacob at 10,400.

To stay above him, Pete can wager at most 4,600.

Jami could wager at most 6,400 if she is so inclined.

Jacob
Pete
Jami
5,200 15,000 16,800
5,200 4,600 6,400
10,400 10,400 10,400
min max min max min max
1,600 4,600 13,200
11,400
6,400

Here’s where things stand after the first order:

Jacob
Pete
Jami
5,200 15,000 16,800
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,600 4,600 13,200
11,400
6,400

Notice that Pete can both (1) stay above Jacob no matter what and (2) cover a zero wager from Jami. Therefore, we are in Shore’s Conjecture.

Because Jacob can stand pat and beat Jami on a cover wager, this is the Strong Form.

Second-order calculations

Shoretegic wagers

If Pete chooses to stay above a double-up by Jacob, he will have at most 19,600.

Jami can cover that with a wager of 2,800.

Jacob
Pete
Jami
5,200 15,000 16,800
4,600 2,800
19,600 19,600
min max min max min max
1,600 4,600 13,200
11,400 2,800
6,400

To stay above Jami’s “Shoretegic” total, Pete can wager up to 1,000.

Jacob
Pete
Jami
5,200 15,000 16,800
1,000 2,800
14,000 19,600
min max min max min max
1,600 4,600 13,200
1,000 2,800
11,400 6,400

First’s max vs. third

Let’s say Jami plans to stay above Jacob. In that case, Pete would need to wager 8,200 to cover her.

Jacob
Pete
Jami
5,200 15,000 16,800
8,200 6,400
23,200 23,200
min max min max min max
1,600 4,600 13,200
1,000 2,800
8,200 8,200 6,400

Third’s max vs. first

I don’t like this one so much, but I’ll put it in anyway, because it doesn’t hurt to restrict wagers. This one really only applies to Pete.

Jacob
Pete
Jami
5,200 15,000 16,800
1,600 8,200 10,000
6,800 6,800 6,800
min max min max min max
1,600 4,600 13,200
1,000 2,800
8,200 8,200 6,400

If Jacob is scared of this possibility, he could wager everything.

Now, after two orders of analysis:

Jacob
Pete
Jami
5,200 15,000 16,800
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,600 4,600 13,200
1,000 2,800
5,200 8,200 8,200 6,400

Zero wagers

Score differences:
Jami and Pete: 1,800
Jami and Jacob: 11,600
Pete and Jacob: 9,800

Jacob
Pete
Jami
5,200 15,000 16,800
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,600 3,600 4,600 13,200
1,000 2,800 3,600
5,200 8,200 8,200 6,400

Also, in the video, I suggest that you could calculate a range for Jami between 9,600 (cover a first-order max from Pete) to 10,000 (stay a first-order Max from Jacob).

What actually happened

Jacob Pete Jami
5,200 15,000 16,800
0 4,500 5,800
5,200 10,500 11,000
min max min max min max
1,599 3,601 4,599 13,201
999 2,801 3,599
5,200 8,200 9,601 9,999

Yikes. I wonder if Pete is kicking himself over not wagering $3,600 or $3,601 – the minimum to cover a Colbyesque wager out of Jami.

Or $4,000. That wager would have given us our first tiebreaker under the new rules.

Well, Jami has continued my string of red grades. Will she continue it tomorrow? Tune in and find out.

The Final Jeopardy! clue

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THE NAME OF THIS SOUTHERN CITY FAMOUS IN LITERATURE IS FROM WORDS MEANING “KENT PEOPLE’S STRONGHOLD”
Correct response: Show
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4 Comments
  1. Jacob Johnson permalink

    The way I wagered on June 2nd: the only way I can win is Dan getting it wrong. Even though I knew what his wager would be (even though he wagered differently in his third win), I just wagered to cover 2x(Tara’s total) + 1 – (my total). I would have won whether Dan got it right or not.

    • Jacob Johnson permalink

      Excuse me. I mean, I would have won whether IIIIIIIII got it right or not, considering what I knew about the way Dan wagered, which was baaaaaaaaafling.

  2. Jacob Johnson permalink

    As for June 3rd, I am sad they both didn’t try to bid each other out of the game. I figured they would both go terribly big on their wagers. They didn’t. That is why I bet zero. I know I cannot win if either of them gets it right and bets rationally. So I hoped neither of them wouldn’t (which they didn’t!) and try to bet the other out of it. But they were a coupla sheep. The shoulda bet a shit ton and let me get over my SEVERE signaling an guessing problems to maybe be a decent multiple game champion.

  3. Sue permalink

    Making more news for Jeopardy today is the fact that none of the three knew that Loretta Lynch was the new Attorney General. Too much study of flags or spaceships, and not enough of current events?

What do you think?