Title: game theory question Post by: jgcblack on September 24, 2014, 08:27:42 PM We have a unique lowest bidder auction.
http://en.wikipedia.org/wiki/Unique_bid_auction This means that your bid can be anything from £0.01 upwards, you pay £1 for your bid and you do not have to pay your bid to win. After everyone has bid the unique and lowest bid is the winner. In this game we have 400 players with an expected play rate of 80% Out of those players around 50% will play twice with around 5% playing 5 times. So we should have 400 × 0.8 = 320. 320×0.5 ×2 = 320 +160 +(0.05×5) = 496 total bids. The players are of mixed abilities but effectively we are assuming only us and maybe one other understand the game. The rest will take random bids at anything from 0.01 up to 9.43 (I saw that bid.... wff!?) As such I'm looking for how to work out how many bids we need to make to "block up the numbers" and allow our next bid to win. I think that 50 should be plenty bearing in mind that my guess is over 90% of bids will either be completely useless or under 0.20p. (So we have from 0.01-0.50) Does anyone know how to work out this problem? Title: Re: game theory question Post by: Eso Kral on September 24, 2014, 08:34:56 PM The new John Black aka KingPush is my nap to sort this out for you bud as I'm more of a feel type punter. :)
Title: Re: game theory question Post by: Doobs on September 24, 2014, 09:19:29 PM I thnk it is impossible without knowing other's budgets. I think your strategy looks fine.
I'd always stop at a number ending in 1 or 6. The thinking is people say I'll throw 50 entries at that, rather than I'd throw 51 at it. I'd probably just start at 11p and finish at 61. Don't know the right answer, but it feels good. Title: Re: game theory question Post by: jgcblack on September 24, 2014, 09:23:56 PM I thnk it is impossible without knowing other's budgets. I think your strategy looks fine. I'd always stop at a number ending in 1 or 6. The thinking is people say I'll throw 50 entries at that, rather than I'd throw 51 at it. I'd probably just start at 11p and finish at 61. Don't know the right answer, but it feels good. I think blocking out 0.01-0.10 is boring but key. I estimate that I should be north of 97% with 50 bids in a 496 bidder game. Title: Re: game theory question Post by: Tal on September 24, 2014, 09:26:10 PM The players are of mixed abilities but effectively we are assuming only us and maybe one other understand the game.
Copied from every staking thread ever. Title: Re: game theory question Post by: jgcblack on September 24, 2014, 10:14:05 PM The players are of mixed abilities but effectively we are assuming only us and maybe one other understand the game. Copied from every staking thread ever. Stop owning and be useful please Mr genius Title: Re: game theory question Post by: jgcblack on September 24, 2014, 10:17:12 PM A direct comparison to the "birthday problem" is as follows...
496÷365 = 1.35 × 50 = 67.5 However we don't have bids as evenly distributed as birthdays. Ours will be skewed to the 0.30 and under range.... and the random £2.56 type bids. Title: Re: game theory question Post by: Doobs on September 24, 2014, 10:29:36 PM A direct comparison to the "birthday problem" is as follows... 496÷365 = 1.35 × 50 = 67.5 However we don't have bids as evenly distributed as birthdays. Ours will be skewed to the 0.30 and under range.... and the random £2.56 type bids. So you have a good idea how to solve the problem, but start a thread anyway? OK Little known fact, the answer to the birthday problem is 3 in my family. Title: Re: game theory question Post by: kinboshi on September 24, 2014, 10:29:44 PM How do you know there is only one other who "gets it", and are you discounting him going for the same strategy as you?
Title: Re: game theory question Post by: jgcblack on September 24, 2014, 10:33:40 PM How do you know there is only one other who "gets it", and are you discounting him going for the same strategy as you? Guess, based on knowing the majority of the players personally, and having been close enough to see the players interacting with the game. Only one person mentioned strategy out loud, acting on it is another thing. He didn't. Title: Re: game theory question Post by: titaniumbean on September 24, 2014, 10:39:24 PM How do you know there is only one other who "gets it", and are you discounting him going for the same strategy as you? Guess, based on knowing the majority of the players personally, and having been close enough to see the players interacting with the game. Only one person mentioned strategy out loud, acting on it is another thing. He didn't. yeh It seems arrogant but people just don't get this stuff. watch this - http://oyc.yale.edu/economics/econ-159 episode 1 focuses on a very basic 'game' concept and is put to a room full of people who got accepted into yale. the bulk of the room just don't get it, some of them really really don't get it even after the strategy theory starts being discussed. you have to then work out how exploitably they will use the info that only you and they understand the game. as per people who play GTO in poker vs people you don't need to. Title: Re: game theory question Post by: kinboshi on September 24, 2014, 10:56:37 PM How do you know there is only one other who "gets it", and are you discounting him going for the same strategy as you? Guess, based on knowing the majority of the players personally, and having been close enough to see the players interacting with the game. Only one person mentioned strategy out loud, acting on it is another thing. He didn't. You know all 400 people and know their knowledge and understanding of game theory? Title: Re: game theory question Post by: jgcblack on September 24, 2014, 11:11:41 PM How do you know there is only one other who "gets it", and are you discounting him going for the same strategy as you? Guess, based on knowing the majority of the players personally, and having been close enough to see the players interacting with the game. Only one person mentioned strategy out loud, acting on it is another thing. He didn't. You know all 400 people and know their knowledge and understanding of game theory? I know a lot of them... And I heard and saw their actions when bidding. (Stall next door) Title: Re: game theory question Post by: MintTrav on September 24, 2014, 11:39:42 PM After everyone has bid the unique and lowest bid is the winner. In this game we have 400 players with an expected play rate of 80% Out of those players around 50% will play twice with around 5% playing 5 times. So we should have 400 × 0.8 = 320. 320×0.5 ×2 = 320 +160 +(0.05×5) = 496 total bids. Wouldn't it be 544 bids (if you treat yourself as additional to the 320 players)? I don't suppose that changes anything. Title: Re: game theory question Post by: jgcblack on September 25, 2014, 03:43:30 AM After everyone has bid the unique and lowest bid is the winner. In this game we have 400 players with an expected play rate of 80% Out of those players around 50% will play twice with around 5% playing 5 times. So we should have 400 × 0.8 = 320. 320×0.5 ×2 = 320 +160 +(0.05×5) = 496 total bids. Wouldn't it be 544 bids (if you treat yourself as additional to the 320 players)? I don't suppose that changes anything. True but we're working out how many bids we need to make so haven't placed any yet Title: Re: game theory question Post by: tikay on September 25, 2014, 07:37:45 AM The new John Black aka KingPush is my nap to sort this out for you bud as I'm more of a feel type punter. :) Spooky. I'm the same, I insta think of JB when I read the stuff by King Push. Incredible similarities. Title: Re: game theory question Post by: david3103 on September 25, 2014, 12:46:58 PM The new John Black aka KingPush is my nap to sort this out for you bud as I'm more of a feel type punter. :) Spooky. I'm the same, I insta think of JB when I read the stuff by King Push. Incredible similarities. we appear to be in tune today Are you John Black? Title: Re: game theory question Post by: tikay on September 25, 2014, 01:05:08 PM The new John Black aka KingPush is my nap to sort this out for you bud as I'm more of a feel type punter. :) Spooky. I'm the same, I insta think of JB when I read the stuff by King Push. Incredible similarities. we appear to be in tune today Are you John Black? Ha! The question was whimsical & rhetorical, but there are striking similarities. For the avoidance of doubt, they are different people. Title: Re: game theory question Post by: jgcblack on September 25, 2014, 10:33:02 PM Best of luck to this King Push fellow, has anyone any wizard friends who can help me here?
Title: Re: game theory question Post by: pleno1 on September 25, 2014, 10:35:36 PM send pratyush a message on facebook
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