The stock market will keep going, though, just as it did all the way through World War II, and the game there will remain the same, as it has through all the changes over the last few hundred years.  Just with a larger audience now, since in future most people will be in front of the computer working (or not) from home.

88 Energy (88E) announced drilling of the production hole is to commence imminently.  Pantheon Resources (PANR) now have strategically refocussed with Alaska as their primary asset and are looking for a farm out.

Jersey Oil & Gas (JOG) announced it is evaluating with neighbouring field operators a collaborative development of the wider Greater Buchan Area, which contains discovered oil and gas resources in excess of 200 million barrels of oil equivalent. 

Rockhopper Exploration (RKH) outlined the impact of the Coronavirus on its operations.  In fact, none, and it appears the announcement was really just an excuse to mention that their cash balance is greater than their market capitalisation.

Caspian Sunrise (CASP) decided to suspend all new drilling activities and the Board will defer a significant portion of its salary payments to help bring ongoing costs into line with the income receivable at the reduced world and domestic prices. 

https://www.share-talk.com/oil-man-jim-company-oil-gas-podcast-blog-22nd-march-2020/