The single outcome delemma
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Please help me figure this one out… If I look at the outcome of a question like “Who will win this years competition?” you will have indeed one winner with a probability of 90 or above when the cashing out is about to happen… That’s all ok, but if you look at the market in its whole, there’s only 10% left to be devided by other stocks and as such there is no comparison possible between the other stocks. Also, if we state that team-a (the winner) was predicted with “there’s a 96% change that they will win.” and we look at the runner up which states “there’s a 6% chance that they will be the winner.” doesn’t that look wrong? I create a multiple correct answer question like: “who will make the top-10” out of the possible 20 teams and I add some payout rules like:
Do you think the result of this market would represent really much better? |
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Thanks for the question. But I’m probably misunderstanding your point.
The probability of all outcomes of something all have to add up to 1 (100%). So if the contest you describe only has one winner how can 2 people have a (.85 + .96 = 1.81) 181% probability of winning? |
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I wanted to have correct initial prices for my question “who will be the winner of this competition?” As such T1 has 87.5% chance of winning the competition and T2 75% chance of winning the competition… Then I though… Well isn’t this what the market should predict? rather then just saying T1 95% and T2 5% and all other 0%... That’s when I thought I should change the question and make it have multiple answers and ask “who will make the top-4?”. I’m sure I’m getting something wrong here… so please help me figure this one out… |
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Assume different… Now they have NO idea what to launch because they don’t have a clue what the runner up idea is… If they chose to have a multiple correct answer outcome, they would certainly have a runner up… They could ask: which will be the next 3 idea’s that we will launch? |
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It sounds link you want to predict a ranking of proposed projects, and then use the rankings to decide which projects to choose, and then payoff the shares for the projects chosen. But it gets a little tricky since the market turns into trying to predict which 3 proposals will be in top three proposals at the end of the market period. The problem with running such a market when the market uses an automated market maker (at least the version that Inkling uses) is that the last trader in the market can effectively pick which three projects end up with the highest price and therefore become selected (if market price is the sole criteria for project selection, and assuming the trader has sufficient funds). So rather than ‘wisdom of crowds’ you get the decision of the last trader in the market. Haven’t thought about this much, but a continuous double auction style prediction market may be less subject to this criticism when used for this purpose. |
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Pretty good remark… Those with the most funds still can have a bigger impact on the market, but then again they have bigger funds because they are better in making predictions… Just the altitude of the impact is limited… For the double auction style you need to map a buy with a sell and to most people, this is too complicated… I did read something that was interesting where they said that a person with a larger amount of funds gets weigthed higher automatically when calculating the new rate of the stock because his track record was better. This extra coefficient was actually applied per category so that in one category you have a higer rate then another… I’m still puzzled if multiple answers are better then a single outcome both in business and pleasure markets… |
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onemike: Inkling is meant to help you predict something you can measure later on. Will something happen? How many of X will happen? Etc. This thing that you measure at the end you want to be independent of how the prediction market works. If you are just asking, “which project should we pick”, this is a much better question for a traditional poll or take a vote. This isn’t the fault of our market maker or using some other mechansim. It’s just not a good fit for what a prediction market is meant for. A prediction market is meant to predict something. If you ask your market to just trade and we’ll pick the highest priced stock as a project and then pay off that highest priced stock just because it’s the highest priced stock, people are now just trying to predict what other people are going to pick as the highest priced stock. There’s no actual feedback loop on anything important. If the project ends up losing you a million dollars, how do you “punish” your traders for choosing a project with a negative ROI? You’ve already rewarded them for just picking the stock they thought everyone else was going to pick, not on some criteria that is completely independent from the market. ednique: I’m still having a tough time understanding what your getting at. I don’t really know what (points * 100) / maxpoints is an equation for. Probability is the measure of how likely an event is. All the probabilities of all the possible outcomes of an event have to add up to 1. Let’s pretend the 6 teams in your example, were complete identical (like the side s of a coin) you would say they all have an equal chance of winning. What is the probability of T1 winning: 1/6. That’s about 17%. How about T2. It’s the same 1/6 17%. Add them all up and it equals 1 or 100%. That’s all you can work with.
If the market actually thinks that this team has a 96% of winning the rest of the field has a 4% of winning since 96+4 = 100. There’s nothing wrong with how this looks. The crowd feels that team 1 is awesome, and almost a sure thing of winning this thing. The rest of the field doesn’t have much of a chance. Well they have a 4% chance.
Inkling isn’t always spitting out these sure thing predictions because life isn’t filled with these sure things. Look at: http://home.inklingmarkets.com/market/show/6569 The Sopranos definitely had a better chance of winning than any other show in their category. But the rest of the field as a whole had a chance of winning of over 50%. |
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ednique: It looks like the real goal of your market is not to dwell in the world of probabilities but you might just want to compare how many points your teams are going to score. You could just create a market by choosing “The answer to your question will be a number.” and then “Determine a specific number (e.g. xx.yy)” and ask “How many points will these teams score in the competition.” This way you can create stocks for each of your teams, and have traders pick actual point scores of each team. If you only have a max of 8 points in the game you are describing, make sure you pick a scale of .1 so you traders have a bit more room to play. So a price of $80 will equal 8 points. |
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Nate: I didn’t mean to imply criticism of the market maker or anything other than, as you put it, “It’s just not a good fit.” I’m a big fan of the LMSR. ;) |
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You guys are great… Thanx! The proposal of nate might be just what I am looking for! Nate: the equation is actually “how much % of the maximum points did a particulart team makes up till now” where I assumed that if they perform exactly the same troughout the competition, that they have that % chance of winning the competition as 100% is winning all points. But as I realize now, I’m asking the wrong question. The how many points question will much better represent what I am looking for. My “which project should we pick” question is indeed more of a poll although in a poll you ask the voter’s choice whereas in a market people will trade in a stock where they think most people will trade in… |