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I imagine the following:
Suppose 2 movies have been produced, movie A by company A and movie B by company B. Suppose further that these movies target the same audience and are fungible, at least according to a large fraction of the audience. Both movies cost 500 000 dollars to make.
Company A sells tickets for 10 dollars each, and hopes to get at least 100 000 customers in the first week, thereby getting 1000 000 dollars, thus making a net gain of 500 000 dollars.
Company B precommits to selling tickets priced as 10 f(n) dollars, with f(n) defined as 1 / ( 1 + (n-1)/150000 ) , a slowly decreasing function. If they manage to sell 100 000 tickets, they get 766 240 dollars. Note that the first ticket also costs 10 dollars, the same as for company A.
200 000 undecided customers hear about this.
If both movies had been 10 dollars, 100 000 would have gone to see movie A and 100 000 would have seen movie B.
However, now, thanks to B's sublinear pricing, they all decide to see movie B. B gets 1270 000 dollars, A gets nothing.
Wolfram alpha can actually plot this! neat!
If movie A sells for 9 dollars, people able to do a side-by-side comparison will never purchase movie B. Movie A will accrue 1.8 million dollars.
I don't see what sublinear pricing has to do with it unless the audience is directly engaging in some collective buying scheme.