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[Calamitas]

In regard to the next game, I will approach this from a utilitarian perspective with the intend to maximize average benefits. If cooperation is not possible like in the first round here I'm intending to maximize my own benfefit, though I'm willing to cooperate there as well (balance out gains, alternate winning,...). So if this is some kind of prisoners dilemma count on me doing something like tit-for-tat (I want to remark that I would cooperate in the last round as well).

[gkrieg13]

I can do it:

1. +15p: UoS
2. +10p: Faust
3. +5p: e
4. +3p: sudgy
5. +2p: Lalight
6. +2p,+2g: gkrieg
7. +1p: Jimmm
8. +1p: Gendo (even though I still wonder whether we should punish him for his insanely unaltrustic bid in R1)

Well I want people to agree on this before I do it.  I'm currently on +3 points, because I don't know what sudgy,LaLigh,Jimmmmmm, and Gendo are doing.

[LaLight]

Come on, why no one is seeing my posts again?

[LaLight]

may I have 3?

Ah, it's because I'm stupid. Already submitted +3

[gkrieg13]

may I have 3?

Ah, it's because I'm stupid. Already submitted +3

Um, ok.  I claimed +3 right after the last round ended and already submitted.  I'm fine working with the thing Calamitas proposed though.

[Calamitas]

You have probably a bad shot at achieving anything when not following along. Like seriously, there are going to be insanely many ties this round otherwise. I cannot tell whether everyone will see it in time, but it's the best chance I think.

[LaLight]

K, i will take +2 if this is allowed.

[Calamitas]

K, i will take +2 if this is allowed.

Yep

[GendoIkari]

I can do it:

1. +15p: UoS
2. +10p: Faust
3. +5p: e
4. +3p: sudgy
5. +2p: Lalight
6. +2p,+2g: gkrieg
7. +1p: Jimmm
8. +1p: Gendo (even though I still wonder whether we should punish him for his insanely unaltrustic bid in R1)

I'm fine with this; and thanks for putting the data together.

As for my first bid, I hadn't been thinking of it as a co-op game (I guess it is in some ways, and not in others)... I had decided to make that bid before your post saying you were going to; so technically I'm not sure what makes my bid the unaltruistic one and not yours; I didn't want the meta of this game to be a race to see who posts the fastest. In that particular situation, I felt that my best chance at actually increasing my score the most lied in the hope that you bid something different than what you said. Not that I actually had any reason to think that you weren't telling the truth; I just had to hope that you weren't.

[Calamitas]

First, you didn't make clear that you were actually voting for it. Secondly, I was actually first and I considered that the best way to deal with that situation at that point. In hindsight, randomization would have been way way way better. But either way, I'm seeing where you're coming from and it doesn't make sense to keep grudges for anything that early. Let's just not repeat this kind of thing and resolve similar matters with randomization in the future.

[GendoIkari]

First, you didn't make clear that you were actually voting for it. Secondly, I was actually first and I considered that the best way to deal with that situation at that point. In hindsight, randomization would have been way way way better. But either way, I'm seeing where you're coming from and it doesn't make sense to keep grudges for anything that early. Let's just not repeat this kind of thing and resolve similar matters with randomization in the future.

+1.

[scott_pilgrim]

Round 3 Results:

[scott_pilgrim]

You all have a little time to keep talking before I lock the thread.

[Calamitas]

That went bad.

[Calamitas]

I can only repeat myself, I will try to maximize average utility in the next round and play tit-for-tat like in prisoner dilemma situations.

[Axxle]

I plan on causing as much chaos as possible

[schadd]

ah, you got SK i see

[schadd]

if i repeated my last round i would have gotten a point. but i stuck to my word

[gkrieg13]

If I hadn't changed my bid, I would have one more point right now.

[scott_pilgrim]

THREAD LOCKED

[scott_pilgrim]

THERE IS TO BE NO COMMUNICATION AFTER RULES ARE POSTED.   
The thread is locked.  Please do not send game-related PM's to other players or spectators.
If you need to ask questions about the rules, please PM the mod.  Do not copy other players on the PM.

[scott_pilgrim]

2. Guess f of the Average

Rules   
This game will be played in three rounds.  Please do not discuss anything game-related or post in thread until all rounds are complete.   
Each player submits a number on the closed interval [0,100] to the mod.  DO NOT COPY ANY OTHER PLAYERS IN THE PM OR CLAIM YOUR NUMBER TO ANY OTHER PLAYER.   
Whoever submitted the number closest* to f(A) where A is the average of all numbers submitted scores 9 points.  If there is a tie for the winner, each tied player scores 9 points, MINUS 1 per additional player who tied with them, to a minimum of 1 point total.   
Note: your submission does not need to be an integer, or even a rational number.  It must be a real number, and you must be able to describe it unambiguously.  If there are more than 100 decimal digits, I will cut it off after the 100th digit after the decimal point.

Functions   
Each round, the function f(x) will change:   
Round 1   f(x)=0.99x
Round 2   f(x)=10000/(x^2-100x+2600)
Round 3   f(x)=50sin(3πx/200)+50

I'll accept submissions for each round at ~24 hour intervals and post results for the round at the end of that time frame, but if your submissions are not dependent on the results from previous rounds, you may submit numbers for all three rounds at once.  If I receive all submissions for a particular round early, I will post the results early, unless at least one player requests that I don't.

*The closest number x to y is the one which minimizes the absolute value of the difference, |x-y|.

The following post will have a link and an image of the graph for the round 2 and 3 functions.

[scott_pilgrim]

Round 2:



Round 3:



I couldn't get links to wolfram working but you can easily go to wolframalpha.com and copy/paste the functions in the previous post to see more information about them.

The sin function in round 3 is measured in radians.

[scott_pilgrim]

Deadline for round 1 will be at 8:00pm tomorrow (Wednesday).

[scott_pilgrim]

Round 1 Results:

Calamitas   0.99^2 * (1/100) * integral_0^100 0.99x dx~=48.51495...
LaLight (no submission)
gkrieg   45.9=45.9
Jimmmmm   (no submission)
pacovf   0.495=0.495
UmbrageOfSnow   square root of 2923~=54.06477596...
schadd   20.2=20.2
sudgy   50.0001=50.0001
GendoIkari   49=49
2.71828…   37=37
faust   0=0
Dylan32 (no submission)   
Tables (no submission)      
Axxle   (0.99 + 0.99^2 + 0.99^3 + 0.99^4 + 0.99^5 + 0.99^6 + 0.99^7) / 8~=0.84069132...
liopoil*   14.11097115...=14.11097115...
      
A=29.10241…
f(A)=28.81138…   

The closest submissions was 2.71828...'s submission of 37 (with a difference of 8.188, just beating out schadd's 20.2 which was off by 8.611...).

*liopoil's submission went on for much longer, I'll give the full number in the next post.