January 4, 2009

Time for math studies?

Haven't played much lately, just when I was wrapping up figuring out how everything was working, the math got 'tweaked', rendering most of my work obsolete. The basics were still the same, but learning where the break points were that made it all tick was more trouble than I had time for. Several months have passed, I may yet go back and see if I can work out the new numbers.

August 10, 2008

Blogshares Math 102 - Reindexing

Reindexing a blog in Blogshares will cause its total value to be recalculated, and will also cause ideas to be produced, based on industries the blog is voted into. Math 101 gave the basics of outgoing shares values, Math 102 covers reindexing as it relates to shares math.

Reindexing is very straightforward, when this happens, the total values of all incoming links are added, and the blog's base value of B$ 1,000 is added, to give the blog's current valuation, which is then used to calculate the blog's outgoing valuation as outlined in the Math 101 article.

The key point to understand here is when it is appropriate to reindex a blog. The most elementary concept is to only reindex a blog when this will result in an increase in the blog's value. The Stock Broker function in Blogshares is very handy for this, if you own any shares at all in the blogs you are interested in reindexing, as it will tell you exactly how much a blog may gain if reindexed at that particular moment. The second most common way to determine this would be to pull up a blog's page in Blogshares, and add up the incoming values yourself with a calculator.

Ideally, the blog should gain at least 2% in value to be worthwhile to reindex, if a blog is worth B$ 500,000, and will gain B$ 10,000, then reindexing would be good, if it may only gain B$ 5,000, then reindexing may actually harm the blog.

One new change in the shares math is the use of a multiplier that can cause a large boost to a blog's outgoing value, if it has roughly 3x the number of outgoing links as incoming (as detailed in Math 101). The multiplier varies on a daily basis, I hope to have more exact details on this posted soon. There are times in the cycle where a blog can actually lose a small amount of incoming value, but gain outgoing value, but there are other times where a blog may gain a small amount of incoming value, but lose outgoing value. The 2% rule above will generally guarantee that a blog will have more outgoing value, assuming all else stays the same.

The things that are likely to change, of course, are the number of incoming and outgoing links. When reindexing a blog, either your own or someone else's, you should check the blog's page in Blogshares, and see what the current number of incoming links are, and compare that to the value from when the blog was last reindexed. If the outgoing total from the last reindex is still roughly 3x the incoming number, and the blog's value will be going up, then it should be safe to reindex. If the incoming link total is significantly different from the last reindex, reindexing may cause the blog's outgoing value to crash. If you are not the owner of that blog, contact the blog's owner, and advise them that they may need to add (or possibly remove) outgoing links to avoid their value crashing.

Blogshares Math 101 - Outgoing Shares Value

What follows is a basic primer for shares math in Blogshares. Some concepts will be greatly simplified, for additional background, read elsewhere in this blog for more information, starting with the earlier entries and moving forward.

Some months ago, the way that shares values were calculated changed, old caps on values were removed, and other tweaks to the math were added to keep things interesting. This has thrown much of the shares market for a loop, but as with any game change, if you understand the math involved, you can make a profit.

For the purposes of this article, it is assumed that you have one or more claimed blogs in Blogshares. If not, go to your favorite blogging site, and get with it! Now, on your claimed blog, you will have incoming links (folks that have links to your site on theirs), and outgoing links (links on your site to other folk's blogs). The value of your blog is the total of your incoming links, plus B$1,000 for the base value of your blog.

The fun part is the outgoing value, under the old math, this would simply be the total value of your blog, divided by the number of outgoing links, with a cap of B$25,000. The more outgoing links you had, the less the outgoing links were valued. With the new math, this is now quite the reverse.

Outgoing values now are variable, depending on the number of incoming links relative to the number of outgoing links. If your outgoing link totals are very similar to the incoming link totals, your outgoing value will be your blog's total value, divided by the number of outgoing links. So, say your blog had a total value of B$ 1,000,000, and you had 10 outgoing links, these would have an outgoing value of B$ 100,000 each. However, if you had, say, less than 5 outgoing links, these may only be worth about B$ 25,000 each or less, but if you had 30 outgoing links, they could have a value of around B$ 500,000 each.

There are various thresholds in the new math, and I haven't collected enough information to know where all the danger spots are, but for this article we'll stick with the basics.

The first point is to have 10 or more incoming links. This point shouldn't be hard, as many folks trade links all the time, sometimes just linking to another player's blog will turn up an incoming link back to you within a few days. The second point is slightly trickier...

Ideally, you want to have about 3 times the number of outgoing links as incoming. If you have 10 incoming links, you want to have 30 outgoing. If you have 20 incoming, you want 60 outgoing. If you have 75 incoming, you want to have 225 outgoing, etc. Again, there are thresholds in place, so you can go slightly above or below these values, but too far out of range will see your outgoing values crash.

For shares play, keeping your outgoing value high by maintaining a good link list is critical. Generally, you will want to link back to those that link to you, this will add value to their blogs, which will in turn potentially add value back to yours. For other links, those can go almost anywhere, as long as the sites are listed in Blogshares.

July 31, 2008

Cracking the math, Pt. 2

So, the big question now is, how to use all of this information. The most pressing thought would be is it safe to reindex a given blog, even if the value is on the rise. I don't have data points to give exact numbers, but early analysis indicates that as the multiplier is about 7 days from reaching its peak, a blog's incoming value can actually drop about 3% in a day, and still see an increase in the outgoing value, after that a blog can lose less value each day to keep the same outgoing (obviously increasing values here would be very helpful), and on the other side of the curve, about 7 days after the multiplier peaks, a blog would have to increase in value almost 4% over the prior day to keep the same outgoing value.

Going back to the 1st table from Part 1, we can determine that the blog only gained 2.14% from the 30th to the 31st. Had the blog instead increased about 2.37% (B$51,258,207.783), it would have been able to keep the same outgoing value.

So, based on this info, if a blog will gain at least 4% in value, it should be safe to reindex, regardless. If the blog will gain less than 4%, it will be important to determine where in the multiplier cycle B$ is to avoid potentially costly mistakes.

Cracking the math, Pt. 1

I've noticed this sort of thing before, but hadn't found a great example until now. I've noticed that sometimes a change in incoming value doesn't always correspond to a similar change in outgoing value. You would assume that more in equals more out, all else being equal. Obviously, something is not equal:

Inc. LinksOut. LinksValueOut. Link ValueMarket Share
12:51 31 Jul 20081135B$51,143,195.71B$5,581,796.100.000093766 %
10:48 30 Jul 20081135B$50,068,599.21B$5,594,348.580.000134516 %
15:21 28 Jul 20081135B$51,296,168.99B$6,075,437.080.000147697 %
14:56 27 Jul 20081135B$50,460,461.54B$6,181,589.980.000101717 %
11:17 26 Jul 20081135B$53,450,325.98B$6,787,356.810.000107811 %

Note that in each case, the incoming and outgoing link totals are the same. From the 26th to the 27th, incoming value dropped, and we saw a drop in outgoing value. On the 28th incoming value rose, but outgoing dropped again. On the 30th, incoming dropped, and outgoing dropped even more than before. On the 31st, incoming rose to a similar level as the 28th, but outgoing fell again by a small amount.

Does outgoing depend on a trend of past outgoing values, or is there some other factor at work?

Let's take a look at the data again, this time with the multiplier in the table instead of Market Share (which isn't a terribly useful value anyway). Multiplier calculated as follows: (Outgoing Value * Outgoing Links) / Incoming Value

Inc. LinksOut. LinksValueOut. Link ValueMultiplier
12:51 31 Jul 20081135B$51,143,195.71B$5,581,796.103.8199189704
10:48 30 Jul 20081135B$50,068,599.21B$5,594,348.583.9106786167
15:21 28 Jul 20081135B$51,296,168.99B$6,075,437.084.1453446132
14:56 27 Jul 20081135B$50,460,461.54B$6,181,589.984.2876272372
11:17 26 Jul 20081135B$53,450,325.98B$6,787,356.814.4444534995

Now, let's take a look at a different blog, with very different numbers, picking reindex values for those same dates:

Inc. LinksOut. LinksValueOut. Link ValueMultiplier
17:43 31 Jul 200853144B$211,393,946.77B$5,607,684.383.8199133091
15:16 30 Jul 200853143B$193,656,051.20B$5,295,982.223.9106728283
10:21 28 Jul 200848136B$168,688,822.41B$5,141,708.474.1453389853
10:20 27 Jul 200847106B$158,365,825.61B$1,494,018.171.000000634
10:18 26 Jul 200845107B$138,897,093.41B$5,769,354.794.4444483853

Here we can definitely see a pattern, the multiplier vales are identical to several decimal places, and there may be extra precision (more than two decimal places) being tracked by B$ that isn't displayed here which would result in rounding errors, so for our purposes this is close enough to being exact.

Some last values I was able to pull from B$ for several others, with a few more prior dates:

Inc. LinksOut. LinksValueOut. Link ValueMultiplier
09:50 25 Jul 200874213B$209,360,891.00B$4,534,365.424.6131817163
14:51 24 Jul 200818125B$61,231,437.13B$2,346,429.324.7900829827
13:59 23 Jul 200819125B$53,939,375.58B$2,144,683.074.9701239747
23:05 23 Jul 2008981191B$19,236,094.28B$80,273.84.9701239747
22:51 21 Jul 200819125B$43,392,824.41B$1,844,410.105.3131195223
16:03 19 Jul 2008340931B$24,044,713.57B$144,114.045.5800278448
11:11 15 Jul 2008100347B$11,395,325.89B$186,029.825.6648092528
02:41 07 Jul 2008971202B$4,206,465.44B$15,553.954.4445504585
22:10 02 Jul 2008971212B$3,129,347.06B$9,675.743.819979751
13:11 24 Jun 2008991211B$5,474,202.35B$17,267.833.74742611
23:16 23 Jun 200895346B$5,894,777.90B$65,080.673.8199762912
22:52 14 Jun 2008851052B$5,512,945.09B$26,972.855.147056199
219:02 04 Jun 200899349B$8,823,377.67B$134,326.855.3131660463

Note that I have two entries for July 23, the very large number of outgoing compared to incoming (12x!) seemed very interesting, but since it fit the multiplier pattern I added the entry for that date mainly as a proof, reindex values for that blog appear later in the chart for June. Going back a month, we can see the values for the multiplier increase, then start falling going back to July 7, bottoming out on June 24.

We have multipliers of 3.8199 on June 23, July 2, and July 31. Since values were lower between June 23 and July 2, the June 23 value was on the downward slope, as is the value on July 31, this puts the cycle of the multiplier at about 38 days. We also see a multiplier of 5.313 on both June 4 and July 21, but I believe that the June 4 value was still on the rise, but may have been close to peaking. We know that the cycle bottomed out between June 23 and July 2, a period of 9 days, so going back to the topmost table, outgoing values will continue to have a lesser multiplier for the next 4-5 days before the cycle hits an upswing again.

July 30, 2008

Argh...

Had to open my mouth and post... Had a minor problem two days ago, had some new incoming links and didn't notice, outgoing links fell too low and outgoing value crashed. Managed to recover the next day, but was then hit by a few blogs unlinking from the roll, also some lesser blogs delisted, meaning slow going for a spell while things rebuild.

More blogs linking in today, caught this early and was able to link back before reindexing, but the roll is very unstable now, too many changes happening at once, not enough value being looped back in. The new blogs are going to have to stabilize and start putting out more value before we can keep building.

I can temporarily hold some of this back by keeping my blogs from being indexed with local firewall controls, to keep anything from losing value, but I can't control the other blogs in the roll.

July 28, 2008

Turning back the clock...

Back in January, B$ Operation Potent Wind went into effect, driving share prices up far higher than we'd seen in the game previously, in one of the stated purposes was to increase blog values. By March, top blogs had values of hundreds of thousands of B$, some into the Billion B$ range, including some blogrolled ones, as noted by charts in early entries here. Sadly, the math at that point was not well understood, and values could not be maintained.

We are a ways to go yet before seeing blogs hitting the Billion B$ mark, but the various blogrolls in the game are chugging along nicely, with values in the low hundreds, the Top 100 blogs filled with blogrolled sites. The top 5 blogs have even been encroached upon, and we may be only a week or so away from the #1 blog being replaced.

More sites continue to link together, wheels within wheels. So far the B$ market index graphs have seen little impact from Project Bootstrap, but a small upward spike can now be seen on these graphs. I'm taking this as a promising sign.

July 21, 2008

Rising values again

Values rising again... I was able to build a small blogroll up after repeated reindexing, and eventually got values up so that I could reindex other blogs feeding mine to get the values rolling again. Took some time, but it's paying off now again.

Saw a few blogs drop out of the blogroll, can't tell which ones at this point, but it only created a minor hiccup.

Worst problem I'm dealing with now are new links coming in, and balancing outgoing links to match. Had two blogs crash outgoing value because the outgoing count fell too low, had to add more outgoing links and reindex before anything else happened to get those values back up.

July 7, 2008

An interesting downturn

Here's an interesting tidbit: For blogs with few incoming and many outgoing links, apparently 5 incoming links or less will put out a nice outgoing value, but 6 or more will drop this back down to 'lesser' levels. 5 links here put out about 12x the blog's actual value, but 6 - 10 links put out only about 4x the blog's total value.

Inc. LinksOut. LinksValueOut. Link ValueMarket Share
20:55 06 Jul 200810116B$10,039,966.89B$371,103.150.000136539 %
06:17 05 Jul 20086116B$6,255,320.07B$223,541.500.000082900 %
23:44 03 Jul 20085116B$4,209,856.18B$442,978.130.000083503 %
20:53 02 Jul 20085116B$4,042,608.79B$428,558.130.000062285 %
20:37 01 Jul 20085109B$3,590,355.28B$407,601.270.000071000 %
20:21 30 Jun 2008485B$2,470,504.71B$107,338.080.000077287 %
16:30 29 Jun 2008179B$560,683.14B$88,562.140.000016722 %

June 28, 2008

Rises and falls

We were finally seeing some rising values again recently, but have again hit a decline cycle. Some badly timed reindexing and issues with the spiders being down has caused a downward spiral, as the declining values caused blogs that would have received gains to lose value. A change in the reindex order may have resulted in gains all around...

This is one important reason why it is important to use the Stock Broker feature for blogs you own shares in, or do some quick calculations for blogs you don't own shares in.

One quick way that I do this to see if a blog will gain or lose is to just add up the millions and hundred-thousands with a calculator and see if this comes out as higher than the current blog value. To get a bit more accuracy for small increases, I may round down to the thousands place (ex, an incoming blog with a value of B$ 1,218,168.92 I'd enter into the calculator as 1218). A small gain would be enough to warrant a reindex.

Blogs that feed into each other should have the blog with the highest increase indexed first for maximum benefit, buy if you aren't using the Stock Broker, that's hard to determine, but any positive trend is a good thing. Don't reindex blogs that are to be losers, let them keep the higher value until other incoming blogs catch up.

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