I have a logic puzzle for everyone.

xinpig · 11-6-2008, 05:57 PM

I have devised a system of bargaining that goes like this:
Person A wants to buy an item from Person B. Person B has a value that he will accept for the item, but Person A doesn't know what that value is. Person A makes an offer. If the offer is greater than or equal to the value Person B has decided on, then the sale is completed at that price. However, if the offer is less than the value Person B has in mind, then Person B refuses the offer, AND increases the amount he will take for the item by 1. The amounts are limited to integers in the range 1-100, so if the value is already 100, then it stays at 100.
.
Example: Person B has 60 dollars in mind. Person A offers 30 dollars, is declined and the value goes up to 61 dollars. Person A offers 45 dollars, is declined, value is 62. Person A offers 60 dollars, is declined, value is 63. Person A offers 75 dollars, and is accepted, so he pays 75 dollars.
.
I have decided that a simple way to determine offers is to have X, an initial offer, and Y, an increment which is added to the offer at each refusal (but capped at 100, of course.) The example above has X=30, Y=15.
.
1) How often does Person A pay 100 dollars when X = Y = 25? Express your answer as a percentage or decimal.
2) What is the _average_ amount paid when X = Y = 25?
3) What is the _average_ amount paid when X = 15, Y = 10?
4) Find a function f(X,Y) such that f(X,Y) is equal to the average amount paid in this bargaining system, given initial offer X and increment Y. (Basically just give me a formula to find the average amount for ANY X,Y combo)
5) Find X and Y that produce minimum average this function can offer. I believe I have found the minimum, but if yours is lower, then I'll be able to calculate that.
6) Find a new system that beats the minimum found in (5). I'm not sure if such a system exists, but if you find one, kudos.

Please PM me your answers. Use Logic Puzzle in the subject line.

I will update with answers when I get enough. I may have prizes, if anyone wants to help out.

xinpig · 11-6-2008, 06:04 PM

Just post the answers here. first one in wins for that question. runners up too.

**devonin** · 11-6-2008, 06:21 PM

This isn't a CT thread...nor is it especially a game. To chit-chat with you.

xinpig · 11-6-2008, 06:22 PM

Well I just thought that this was a bit higher than the game thread... can we move it or do i repost?

**devonin** · 11-6-2008, 06:24 PM

It's already been moved. Welcome to chit-chat.

It's not a game, it looks more like someone doing your stats homework for you *grin*

Just because a subject matter is vaguely complex or difficult doesn't automatically make it a CT thread. Critical Thinking is for debate and discussion, it doesn't have a monopoly on everything the least bit intellectual. I'd like to see a few more threads that get posted in CT and moved here actually just start here again. The general quality of CC threads couldn't help but improve a little.

xinpig · 11-6-2008, 06:26 PM

Its not homework. Just something I got from a friend in another game. Already solved it and just thought I would pass it on as well. I am in Computer Networking so no math classes for me!

**phe0nixblade** · 11-6-2008, 06:45 PM

its 54

xinpig · 11-6-2008, 07:09 PM

for which one?
the first?

Professor Raine · 11-6-2008, 07:29 PM

I pay the man 100 dollars and tell him to shut up

**phe0nixblade** · 11-6-2008, 07:35 PM

no its 54 always
2+2=54

xinpig · 11-6-2008, 07:51 PM

I didnt think it was that complicated

Rubin0 · 11-6-2008, 08:26 PM

**phe0nixblade** · 11-6-2008, 09:46 PM

Quote:

Originally Posted by Rubin0

tldr

wow what the **** you lazy bum it's like 30 seconds of reading

Rubin0 · 11-6-2008, 10:11 PM

Quote:

Originally Posted by phe0nixblade

wow what the **** you lazy bum it's like 30 seconds of reading

....tldr.

LLaMaSaUceYup · 11-6-2008, 10:15 PM

talk about postwhore

and obviously you did read it
lol

Rubin0 · 11-6-2008, 10:21 PM

Lol just causing trouble while simultaneously avoiding homework.

Professor Raine · 11-7-2008, 12:43 AM

I call copyright

**Patashu** · 11-7-2008, 01:15 AM

I might look at this later

**x After Dawn x** · 11-7-2008, 01:18 AM

I just did a bunch of linear solution questions like these today at school. They're actually a bit interesting and really easy.

xinpig · 11-7-2008, 01:24 AM

I have said it already got it from a friend in a different game.

Two: I have no math classes at the moment in college. just Cisco and XP professional

11-6-2008, 05:57 PM	#1
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	I have a logic puzzle for everyone. I have devised a system of bargaining that goes like this: Person A wants to buy an item from Person B. Person B has a value that he will accept for the item, but Person A doesn't know what that value is. Person A makes an offer. If the offer is greater than or equal to the value Person B has decided on, then the sale is completed at that price. However, if the offer is less than the value Person B has in mind, then Person B refuses the offer, AND increases the amount he will take for the item by 1. The amounts are limited to integers in the range 1-100, so if the value is already 100, then it stays at 100. . Example: Person B has 60 dollars in mind. Person A offers 30 dollars, is declined and the value goes up to 61 dollars. Person A offers 45 dollars, is declined, value is 62. Person A offers 60 dollars, is declined, value is 63. Person A offers 75 dollars, and is accepted, so he pays 75 dollars. . I have decided that a simple way to determine offers is to have X, an initial offer, and Y, an increment which is added to the offer at each refusal (but capped at 100, of course.) The example above has X=30, Y=15. . 1) How often does Person A pay 100 dollars when X = Y = 25? Express your answer as a percentage or decimal. 2) What is the _average_ amount paid when X = Y = 25? 3) What is the _average_ amount paid when X = 15, Y = 10? 4) Find a function f(X,Y) such that f(X,Y) is equal to the average amount paid in this bargaining system, given initial offer X and increment Y. (Basically just give me a formula to find the average amount for ANY X,Y combo) 5) Find X and Y that produce minimum average this function can offer. I believe I have found the minimum, but if yours is lower, then I'll be able to calculate that. 6) Find a new system that beats the minimum found in (5). I'm not sure if such a system exists, but if you find one, kudos. Please PM me your answers. Use Logic Puzzle in the subject line. I will update with answers when I get enough. I may have prizes, if anyone wants to help out. __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING! Last edited by xinpig; 11-6-2008 at 06:16 PM..

11-6-2008, 06:04 PM	#2
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. Just post the answers here. first one in wins for that question. runners up too. __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING! Last edited by xinpig; 11-6-2008 at 06:10 PM..

11-6-2008, 06:21 PM	#3
devonin Very Grave Indeed Join Date: Apr 2004 Location: Ontario, Canada Age: 40 Posts: 10,098	Re: I have a logic puzzle for everyone. This isn't a CT thread...nor is it especially a game. To chit-chat with you.

11-6-2008, 06:22 PM	#4
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. Well I just thought that this was a bit higher than the game thread... can we move it or do i repost? __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING!

11-6-2008, 06:24 PM	#5
devonin Very Grave Indeed Join Date: Apr 2004 Location: Ontario, Canada Age: 40 Posts: 10,098	Re: I have a logic puzzle for everyone. It's already been moved. Welcome to chit-chat. It's not a game, it looks more like someone doing your stats homework for you grin Just because a subject matter is vaguely complex or difficult doesn't automatically make it a CT thread. Critical Thinking is for debate and discussion, it doesn't have a monopoly on everything the least bit intellectual. I'd like to see a few more threads that get posted in CT and moved here actually just start here again. The general quality of CC threads couldn't help but improve a little.

11-6-2008, 06:26 PM	#6
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. Its not homework. Just something I got from a friend in another game. Already solved it and just thought I would pass it on as well. I am in Computer Networking so no math classes for me! __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING!

11-6-2008, 06:45 PM	#7
phe0nixblade Praise the sun mofo Join Date: Sep 2005 Location: Lordran Age: 32 Posts: 4,281	Re: I have a logic puzzle for everyone. its 54 __________________

11-6-2008, 07:09 PM	#8
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. for which one? the first? __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING!

11-6-2008, 07:29 PM	#9
Professor Raine FFR Player Join Date: May 2007 Location: D: Age: 33 Posts: 1,560	Re: I have a logic puzzle for everyone. I pay the man 100 dollars and tell him to shut up __________________ My simfilez ---- Dancing Rain : Dancing Rain 2

11-6-2008, 07:35 PM	#10
phe0nixblade Praise the sun mofo Join Date: Sep 2005 Location: Lordran Age: 32 Posts: 4,281	Re: I have a logic puzzle for everyone. no its 54 always 2+2=54 __________________

11-6-2008, 07:51 PM	#11
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. I didnt think it was that complicated __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING!

11-6-2008, 08:26 PM	#12
Rubin0 FFR Player Join Date: Jun 2006 Location: New York Age: 35 Posts: 1,276	Re: I have a logic puzzle for everyone. tldr __________________ The weight of what I say depends on how you feel.

11-6-2008, 10:15 PM	#15
LLaMaSaUceYup FFR Player Join Date: Jan 2007 Location: Phoenix, Arizona. Age: 31 Posts: 3,759	Re: I have a logic puzzle for everyone. talk about postwhore and obviously you did read it lol

11-6-2008, 10:21 PM	#16
Rubin0 FFR Player Join Date: Jun 2006 Location: New York Age: 35 Posts: 1,276	Re: I have a logic puzzle for everyone. Lol just causing trouble while simultaneously avoiding homework. __________________ The weight of what I say depends on how you feel.

11-7-2008, 12:43 AM	#17
Professor Raine FFR Player Join Date: May 2007 Location: D: Age: 33 Posts: 1,560	Re: I have a logic puzzle for everyone. I call copyright __________________ My simfilez ---- Dancing Rain : Dancing Rain 2

11-7-2008, 01:15 AM	#18
Patashu FFR Simfile Author Join Date: Apr 2006 Location: we traced the call...it's coming from inside the house Age: 33 Posts: 8,609	Re: I have a logic puzzle for everyone. I might look at this later __________________ Patashu makes Chiptunes in Famitracker: http://soundcloud.com/patashu/8bit-progressive-metal-fading-world http://img.photobucket.com/albums/v216/Mechadragon/smallpackbanner.png Best non-AAAs: ERx8 v2 (14-1-0-4), Hajnal (3-0-0-0), RunnyMorning (8-0-0-4), Xeno-Flow (1-0-0-3), Blue Rose (35-2-0-20), Ketsarku (14-0-0-0), Silence (1-0-0-0), Lolo (14-1-0-1) http://i231.photobucket.com/albums/ee301/xiaoven/solorulzsig.png

11-7-2008, 01:24 AM	#20
xinpig FFR Player Join Date: Apr 2006 Location: At my Computer Age: 34 Posts: 1,072	Re: I have a logic puzzle for everyone. I have said it already got it from a friend in a different game. Two: I have no math classes at the moment in college. just Cisco and XP professional __________________ PSEUDO SKILL TOKENS! FC'd Blooddrunk with AVMISSING!

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