Topic: Hermit Island (A Single Submission Game - Results!) (Read 3918 times)

Schneau · « **on:** December 11, 2012, 08:25:35 am »

In this game, you are a hermit who has just sailed to a previously uninhabited island. You have a map of the island, which just happens to be a perfect circle with a radius of 100 km, and have to decide where to settle and build your hermit hut based on the map. But wait! It just happens that 14 other hermits have landed on the island at the same time! As a hermit, you want to live as far away from your neighbors as possible. In particular, you want to maximize the distance between you and your nearest neighboring hermit.

Here's the island:

To play, you have to choose where to build your hermit hut on Hermit Island. You must choose a point in the (x,y) plane that is within a distance of 100 (km) from (0,0). Once there are 15 hermits living on Hermit Island, the winner will be the hermit who chooses a point furthest away from its nearest neighbor. It is somewhat likely (though not guaranteed) that two hermits will be tied because their distance from each other is the same and closer than from any other hermit. In this case, ties will be broken by whoever is further from second nearest neighbor, then third nearest neighbor, etc.

Here are the logistics: You must post in this thread and PM me your point. Your point must be of the form (x,y), where x and y are decimal numbers with at most 2 digits past the decimal - if you want to choose (sqrt(2)*pi*e, 0), do the math yourself and submit (12.08, 0). Make sure your point is within the island's radius of 100 km.

By the way, I just made up this game last night when thinking about the convex hull game, so I have no idea how it will go. But, let's give it a shot!

Players:
Davio
Tables
Kuildeous
yuma
mith
Grujah
Watno
Axxle
cayvie
Galzria
Captain_Frisk
Insomniac
Jorbles
eHalcyon
Jimmmmm

Davio · « **Reply #1 on:** December 11, 2012, 08:31:58 am »

/in, ~~will submit promptly~~ submitted.

Just a quick rules check: Are you allowed to (try to) influence the competition either by public or private messages?
Not that I was planning to myself, but better get a ruling on this before someone says: I'm at X,Y, don't go there!

Tables · « **Reply #2 on:** December 11, 2012, 08:47:25 am »

Kuildeous · « **Reply #3 on:** December 11, 2012, 08:59:10 am »

yuma · « **Reply #4 on:** December 11, 2012, 11:28:20 am »

Schneau · « **Reply #5 on:** December 11, 2012, 11:39:19 am »

Quote from: Davio on December 11, 2012, 08:31:58 am

Just a quick rules check: Are you allowed to (try to) influence the competition either by public or private messages?
Not that I was planning to myself, but better get a ruling on this before someone says: I'm at X,Y, don't go there!

Eh, I guess no. Definitely no PMS. I mean, this is a psychology game, so you could borrow some bluffs and anti-bluffs from mafia to try to influence people. If people think it would be more fun, we could open it up to posts here, but I think it's a bad idea since it means people who submit early have different information than people who submit late. So, no influences this time around, maybe next time we could try it.

mith · « **Reply #6 on:** December 11, 2012, 12:39:06 pm »

Grujah · « **Reply #7 on:** December 11, 2012, 01:52:46 pm »

Watno · « **Reply #8 on:** December 11, 2012, 01:57:02 pm »

Axxle · « **Reply #9 on:** December 11, 2012, 02:00:01 pm »

Can we send polar coordinates instead?

/in

cayvie · « **Reply #10 on:** December 11, 2012, 02:07:58 pm »

Schneau · « **Reply #11 on:** December 11, 2012, 02:10:22 pm »

Quote from: Axxle on December 11, 2012, 02:00:01 pm

Can we send polar coordinates instead?

/in

Sure, why not?

Galzria · « **Reply #12 on:** December 11, 2012, 03:01:34 pm »

Captain_Frisk · « **Reply #13 on:** December 11, 2012, 03:55:17 pm »

in and submitted.

Insomniac · « **Reply #14 on:** December 11, 2012, 03:57:50 pm »

IN sending

Jorbles · « **Reply #15 on:** December 11, 2012, 05:02:04 pm »

In sending now.

eHalcyon · « **Reply #16 on:** December 11, 2012, 07:25:33 pm »

Sure. In.

Jimmmmm · « **Reply #17 on:** December 11, 2012, 07:44:28 pm »

Schneau · « **Reply #18 on:** December 11, 2012, 07:46:15 pm »

That's 15! So, no more entries. I'll calculate the scores and make a nice graph and be back in a jiffy!

Schneau · « **Reply #19 on:** December 11, 2012, 07:56:14 pm »

BTW, I forgot to say that distances will be calculated as the geometric distances (what most people think of when you say "distance"), not anything more special like Manhattan distance. But, that was probably obvious.

Tables · « **Reply #20 on:** December 11, 2012, 07:56:50 pm »

Wait, I had assumed Jungle Metric Norm, can I change my submission?

Schneau · « **Reply #21 on:** December 11, 2012, 08:25:23 pm »

Results: mith wins!

And the plot:

I think you guys are going to have to build a hermit co-op at (0,0). I couldn't believe how many people selected this point, considering it's probably the most likely point to get you 0 points. That was fun!

Tables · « **Reply #22 on:** December 11, 2012, 08:27:58 pm »

Most likely to get 0, but if it doesn't, it probably gets you a lot.

Axxle · « **Reply #23 on:** December 11, 2012, 08:28:31 pm »

Quote from: Tables on December 11, 2012, 08:27:58 pm

Most likely to get 0, but if it doesn't, it probably gets you a lot.

^

Tables · « **Reply #24 on:** December 11, 2012, 08:29:41 pm »

I'm more surprised that one one person was on the boundary.

eHalcyon · « **Reply #25 on:** December 11, 2012, 08:32:39 pm »

I don't want to do any math right now. Would (100,0) have beaten mith?

Grujah · « **Reply #26 on:** December 11, 2012, 08:39:21 pm »

Sooo close!

Damn you, Jorbles.

Tables · « **Reply #27 on:** December 11, 2012, 08:46:53 pm »

Quote from: eHalcyon on December 11, 2012, 08:32:39 pm

I don't want to do any math right now. Would (100,0) have beaten mith?

Absolutely

mith · « **Reply #28 on:** December 11, 2012, 09:56:49 pm »

Yay... After the way Convex Hull turned out, I guessed that everyone would avoid the first quadrant like the plague.

Grujah · « **Reply #29 on:** December 11, 2012, 10:27:03 pm »

Quote from: mith on December 11, 2012, 09:56:49 pm

Yay... After the way Convex Hull turned out, I guessed that everyone would avoid the first quadrant like the plague.

I counted on that as well.
My worry was classic Mafia WIFOM, what if everybody is guessing that everyone would avoid the first, so everyone goes to first again?

Davio · « **Reply #30 on:** December 12, 2012, 02:29:30 am »

I sort of hedged, and it failed.

It's better to go for broke in these kinds of games.

Kuildeous · « **Reply #31 on:** December 12, 2012, 08:04:06 am »

You guys get off m'rock! *shakes stick*

Jimmmmm · « **Reply #32 on:** December 12, 2012, 08:06:05 am »

I don't see anything to buy... are we all going to turn into Madmen (sorry Donald, Madmans)?

Grujah · « **Reply #33 on:** December 12, 2012, 08:06:13 am »

/in for seocond one.

Jimmmmm · « **Reply #34 on:** December 12, 2012, 08:07:54 am »

A second one might be interesting. We've proved that the origin is useless. So obviously no one's going to go there... hmm...

SwitchedFromStarcraft · « **Reply #35 on:** December 12, 2012, 08:32:39 am »

I cant believe that this time only one person submitted two POSITIVE coordinates.

cayvie · « **Reply #36 on:** December 12, 2012, 09:39:33 am »

this is another game where i can gain an advantage by declaring what i'm submitting in the thread.

Schneau · « **Reply #37 on:** December 12, 2012, 09:48:47 am »

Alright, I'll start a second one. Check it out here.

Captain_Frisk · « **Reply #38 on:** December 12, 2012, 09:49:37 am »

So angry... i saw the chart, saw my name smack dab in the middle with nobody around, and thought I won!

Jorbles · « **Reply #39 on:** December 12, 2012, 10:37:12 am »

Quote from: Grujah on December 11, 2012, 08:39:21 pm

Sooo close!

Damn you, Jorbles.

Argh! Same to you! (Also guys, I generated my choice using a random number generator.)

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Author Topic: Hermit Island (A Single Submission Game - Results!) (Read 3918 times)