  According to common understanding, in free completion of a private product,
market and price, the two main factors in the competition that leads to
economic efficiency, always exist together. This paper, however, points out the
phenomenon that in some free competitions the two factors are separated hence
causing inefficiency. For one type, the market exists whereas the price is
absent, i.e. free, for a product. An example of this type is the job
application market where the problem of over-application commonly exists,
costing recruiters much time in finding desired candidates from massive
applicants, resulting in inefficiency. To solve the problem, this paper
proposes a solution that the recruiters charge submission fees to the
applications to make the competition complete with both factors, hence
enhancing the efficiency. For the other type, the price exists whereas the
market is absent for a product. An example of this type is the real estate
agent market, where the price of the agents exists but the market, i.e. the
facility allowing the sellers' information to be efficiently discovered, is
largely absent, also causing inefficiency. In summary, the contribution of this
paper consists of two aspects: one is the discovery of the possible separation
of the two factors in free competitions; the other is, thanks to the discovery,
a solution to the over-application problem in the job market.
