[mykwyner]

Deep pockets means having a lot of cash to invest or spend.

...have not had it all their way means they did not get everything they wanted.


Evidence of reluctance...maturity In this case, maturity means experience, and it is the Chinese who are overpaying.

China has a lot of cash to invest in new businesses. They are finding out that in some cases they are paying more for these businesses than those businesses are worth (this is overpaying). As the Chinese become more experienced (mature), they are being more careful about which companies they buy and how much they pay for them.