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A '''matrix scheme''', also known as a Matrix Site, Elevator Scheme, Escalator Scheme or Ladder Scheme, is a [[business model]]{{Fact|date=February 2007}} involving the exchange of money for a certain product with a side bonus of being added to a waiting list for a product of greater value than the amount given.<ref name =oftpress>{{cite web | url = http://www.oft.gov.uk/news/press/2005/161-05 | title=Matrix Website Scheme stopped by Office of Fair Trading | accessdate=2006-08-05}}</ref> Matrix schemes are also sometimes considered similar to [[Ponzi scheme|Ponzi]] or [[Pyramid scheme|pyramid]] schemes. <ref name =msn1>{{cite web | url = http://msnbc.msn.com/id/3078957 | title=$150 plasma TV site faces lawsuit | accessdate=2006-08-05}}</ref> They have been called unsustainable by the United Kingdom's [[Office of Fair Trading]]. <ref name =oftpress/> The Matrix Scheme is also an example of an exploding queue in [[Queueing Theory]].
==History==
The first known matrix scheme is widely believed to be EZExpo.com, which started the popularity of Matrix Schemes in 2002. <ref name =msn1/> By 2003 more than 200 matrix schemes were in operation, including one which had the same owner as the payment processor Stormpay (TymGlobal). Subsequently TymGlobal and Stormpay were accused of running an illegal Ponzi scheme.<ref name = leaf>{{cite web | url = http://www.theleafchronicle.com/apps/pbcs.dll/article?AID=/20060208/NEWS01/602080335/1002 | title = The Leaf Chronicle | accessdate = 2006-08-10}}</ref> Stormpay later claimed to be independent of TymGlobal, and they no longer accept matrix schemes. Although many have since ceased trading, some schemes are still known to be operating worldwide.
==Operation==
The operation of matrix schemes varies, though they often operate similar to Ponzi schemes. <ref name =msn2>{{cite web | url = http://msnbc.msn.com/id/3078976 | title=$150 for a plasma TV? A bad bet | accessdate=2006-08-05}}</ref> To move upward in the list, a person must wait for new members to join or refer a certain number of people to the list. This is accomplished through purchasing a token product of marginal value: usually e-books, cell phone boosters, screen savers, or shareware CDs. When a pre-defined number of people have purchased the token product the person currently at the top of the list receives their reward item, and the next person in the list moves to the top. The rewards for those at the top of the matrix list are usually high-demand consumer electronics, such as portable [[digital audio player]]s, high-definition [[television]] sets, laptop [[computers]], and [[cellular phone]]s.
In many cases, the token product alone could not be reasonably sold for the price listed, and as such legal experts claim that, regardless of what is said, the real product being sold is the "reward" in question in those situations. Steven A. Richards, a lawyer who represents [[multi-level marketing|multi-level marketing (MLM)]] companies for Grimes & Reese in Idaho Falls, Idaho, has stated that often there are no clear legal tests for Ponzi schemes. But if the product sold has no value or very little value, and consumers wouldn’t buy it without the attached free gift, the scheme probably runs afoul of federal and state laws. <ref name = msn2/>
The “Matrix List” by which the sites receive their name would be what is known as a straight-line matrix, or 1 by X matrix. This is similar to many MLMs that use Y by X matrices to fill a down-line.
For example, one situation may be a 1 by 10 matrix for a PS2 (which was quite common). In such a matrix the site would usually sell an e-book for $50 to be placed on the list. After 9 additional people purchased a spot, the first person would receive either a PS2 or cash value equivalent and would be removed from the list. The person who had been second would move up to the first spot and an additional 10 people would have to purchase in order for this person to receive a PS2. It is this orderly movement which has also given the name “Elevator Scheme” to these sites as people would move up the elevator (escalator, ladder) to the top at which they would then “cycle” out of the matrix.
In such a matrix, 9 out of 10 or 90% of all customers would never receive their reward item as eventually the matrix must reach a point by which it will be nearly impossible for new people added to the list to reach the top. Supporters claim that additional revenue streams from advertising are used to keep the lists moving. However, detractors claim that it is impossible to generate enough outside revenue. If the entire world were to join the list, 90% of the world would be unable to cycle if the site did not draw sufficient alternate revenue streams. Adding more people to the list does not change the fact that the majority would receive nothing without these streams.
Additionally, the amount of time needed before a given individual will receive the product in question is often mistaken. In a matrix in which 10 people are required before it will cycle, the first person to join only needs 9 additional sign ups, but the second person needs 18 additional sign ups, 8 more for the person above him, and then 10 more for himself. The third person on the list likewise needs 27 additional signups, 7 for the person on top of the list, 10 for the person directly above him, and then 10 for himself. And then the number of people required continues to grow for each new person joining the list. For the 10th person to cycle it would require 100 people total, and 1000 for the 100th, and so on.
==Matrix Scheme in [[Queueing Theory]]==
A Matrix Scheme is easily represented as a simple M/M/1 queue within the context of [[Queueing Theory]] In such a system you have a Markovian arrival, Markovian service, and one single server (F. S. Hiller and G. J. Lieberman. Introduction to Operations Research. McGraw-Hill, New York, 1995). In the standard Matrix queue service rates are a function of arrival rates since the time to cycle out of the queue is based off the entry fee into the matrix from arriving members. Also, since members move through the matrix in single file, it is easy to associate the single server.
The basic premise of [[queueing theory]] is that when service rates equal or exceed arrival rates overall waiting time within the queue moves towards infinity (Hiller and Lieberman).
The basic formulation includes three formulae. The traffic intensity, ρ, is the average arrival rate (λ) divided by the average service rate (μ):
ρ=λ/μ
The mean number of customers in the system (N):
N = ρ/(1-ρ)
And the total waiting time within the queue (T):
T = 1/(μ-λ)
It is possible to see that as arrival rates rise towards service rates the total waiting time (T) and mean number of customers in the system (N) will move towards infinity
<ref name =oftpress2>{{cite web | url=http://www.eventhelix.com/RealtimeMantra/CongestionControl/m_m_1_queue.htm
| title=M/M/1 Queueing System| accessdate = 2007-03-03}}</ref>. Since service time can never exceed the arrival time in the standard matrix, and total waiting time can only be defined if service times exceed arrival times, the only way for the matrix queue to reach stability is for outside income sources to exceed those being entered into the system.
==Legality==
Currently there are no laws specifically naming matrix schemes illegal in the US. However, the US [[Federal Trade Commission]] has issued warnings to the public about these sites. In the UK, the Office of Fair Trading has declared some of them to be illegal. On July 1, 2005, two matrix sites, pulsematrix.com and phones4everyone (themobilematrix.com), were declared to be running a form of illegal lottery. Additionally, the US [[Federal Trade Commission]] and the UK [[Trading Standards]] have issued warnings to the public regarding the ease with which these models can be manipulated for fraudulent purposes.
Many of the original matrix sites, including EZExpo.com, are no longer in operation; some of them closed down while defending civil lawsuits. In 2003 EZExpo and several payment processors were sued in the civil courts for running an illegal lottery in the state of California, with the payment processors abetting the scam.<ref>{{cite web | url =http://appellatecases.courtinfo.ca.gov/search/case/dockets.cfm?dist=0&doc_id=371626 | title = California Courts - Appelate Court Case Information -Docket Entries| accessdate = 2005-08-06}}</ref> <ref>{{cite web | url =http://wagelaw.typepad.com/wage_law/2006/05/prop_64_cases_t.html | title = Wage Law: Prop 64 Cases To Be Argued | accessdate = 2005-08-06}}</ref><ref>{{cite web | url =http://www.diaz-law.com/diazlaw/2005/05/prop_64_to_the_.html | title = The Antitrust Monitor: Prop 64 to the Rescue for Neovi, PaySystems, and PayPal But Not for Ginix| accessdate = 2005-08-06}}</ref> However, the civil case is still ongoing. One result of the lawsuit is that those payment processors and some others no longer accept matrix schemes as customers. Currently, no legal precedent exists regarding the matrix scheme in the US.
==Notes==
<references />
==News articles==
*[http://www.thisislondon.com/news/articles/11783353?source=Evening%20Standard Warning over iPod scam] - [[This is London]]
*[http://www.wired.com/news/culture/0,1284,62226,00.html eBay scam uses iPods as bait] - [[Wired magazine|Wired]]
==External Links==
* {{dmoz|Society/Issues/Fraud/Investment/Ponzi_or_Pyramid_Schemes|Ponzi and Pyramid schemes}}
▲* [http://msnbc.msn.com/id/3078976/ MSNBC article]
[[Category:Multi-level marketing]]
[[Category:Pyramid and Ponzi schemes]]
[[ru:Матричная схема]]
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