Even some trading platform is not having the option to trade publicly, I believe we could follow other people's trade by following open interest for buying or selling. This is an obvious technique to know the mentality of other traders. But I'm not sure about the options to make our trade public with different types of trading platforms.
Open interests are indicators for market sentiments. OP is asking for options to make our trading activities public.
I have seen some forex brokers are having this types of options. Within that, still you will be making your trade privately in your computer/mobile, but if you have enabled the option of showing your trades to others, your recent trading activity in be listed in a common 'notice board' with your nickname.
Yet, those who paid for accessing that notice board, will be seeing your trading activity. Based on your previous performances others may follow your trades. (your nickname will have link for your past trading performances).
Based on your number of followers you may get some incentives. It would be nice, if some bitcoin exchanges also will be implementing this.