The committee is made up of a number of people:
Rodgers
Ayre - to look at the prices/wages
Fallows, Hunter and Edwards - the main scouts/analysts
My understanding is that it is Fallows, Hunter and Edwards who are the ones who present the players. IMO - they are the ones with the expertise.
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Regarding players who choose the city over the club - we need to get over that and wake up to the fact that we're not the club we think we are.
Sigurdson did pick Spurs over us but we must remember, they were in a better position that we were and offered more wages.
Sanchez chose Arsenal over us - yes, we finished 2nd but Arsenal are a more stable club, consistently in the CL and with a well known manager.
We're simply not the big name in world football so buying tier 1 footballers is pretty much out of the question *(combined with FSG's reluctance to pay top wages). Di Maria, Benzema, Higuain etc do not want to join us.
However, that is not an excuse to sign mediocrity and average players like Balotelli, Lallana and Lovren (less so in Lallana's, more with price). We should be in the market for tier 2 players - the ones who have yet reached their peak but with good experience.
Firmino, Shaqiri, Lacazette, Volland etc etc. These are the players who would have really helped us and improved our first XI.