One filter criteria for two different displays of the same view?
Seems like you want to display two different views with a common shared exposed filter in the same page (or as you said "same path"), instead of making two displays of the same view:


After created your view and your primary "view block", add the needed filter to that block, make sure that the filter is valid for all pages. 
Then create an Attachment (you can find it in view configuration page Add>Attachment), and attach its to the block in
Attachment settings by chosing "Attach to:Block" and set a preferred
display position of that attachment (Attachment position) 
Configure your Attachment with your needed format and fields, making
sure that these configurations are for "this Attachment
only"(*override) 
Finally Set to Yes the "Inherit exposed
filters:" in Attachment settings 
Et voilà enjoy your block+attachment with the same shared filter!


If you want to share the same filter in more than one views globally in the entire site, you can take a look to modules like Views Global Filter