False. If you are under 200 cups and someone attacks you, you will lose 1-3 trophies whereas the attacker gains something like 20-30 trophies.
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I hate to have to say it but, trophy inflation is a far better analogy than a pyramid scheme.
Pyramid Scheme Definition:
"a scheme in which people are recruited to make payments to the person who recruited them while expecting to receive payments from the persons they recruit"
This is nothing like the trophy situation. In a pyramid scheme the guy who is at the top stays at the top no matter how big the the people below him get, in fact he gets bigger the bigger they get, this doesn't happen at all in CoC, it's a free for-all game, not a pyramid scheme.
With regards to the inflation analogy: Trophies are entering and leaving the system all the time, if they didn't we would have less and less trophies in game, how exactly they are added to the game is not 100% clear but they are being added, by virtue of this fact trophies can very much be described to be in an economy and are thus subject to inflation. By the way under inflation the value of the commodity, in this case trophies, does not "inflate" it decreases.
Yeah, there is other anamolies similar to this like when you win a revenge battle or when th disparity comes into play. I'm not sure how or where those anomalies exactly come up and where those cups go, even when the supercell official stance is that cups aren't created or destroyed.
Though readings these becomes convoluted because i don't think you can see the exact snapshot of trophy loss or gain based on the battle, especially if it was a revenge.
Let me expand on this analogy further.
In a pyramid scheme, or a pyramid selling/multilevel marketing scheme...people that have been in the program the longest receive payments from everyone below them in the pyramid. That is everyone that entered the program after. The higher you are in the pyramid the payments go up exponentially. At the bottom there comes a point where the new members can't progress in the organization because there is no new willing members, and/or there is market saturation for the products being sold, so new sales go off a cliff. This is where the pyramid collapses.
In COC, new members have to battle to gain trophies and gain resources. Initially. and forever after, they have to attack similar or lesser towns in order to get ahead. They will get attacked for resources and cups by players slightly higher in cups/experience, because they (the higher players) are in the same boat. Everyone pretty much goes up against towns of equal or lesser level, for the most part. The people at the top of this pyramid are the people that have been playing COC the longest and have the highest level towns. The "payments" they receive from junior players are the resources and cups. So hence, the resources get routed up the pyramid, both gold/elix/de/ and cups. Everything is good as long as there is new members joining the community. If newbies drop off, then the people that joined a month ago will see a scarcity in towns with resources or flat out towns to attack for cups. (maybe). They get stuck at their current level unable to progress further in cups OR upgrades because the collector income wont match what's getting taken from them from higher level attackers, and the constant raiding will dwindle their cups from higher level players that the lower player has no chance to revenge. The next higher level attackers wont feel the effects until shortly after. The players at high levels wont feel the effects for a much longer time after.
The point is that resources are being directed up the cup levels. Sure there are losses in resources due to spending on upgrades, but that is similar to the mary kay seller who has to buy inventory to sell. The excess profit is what makes it up the chain. What happens at the lower levels in resource availability will be invisible to people at higher levels and with a much delayed reaction.