The phrase "anchored in a shared" is correct and usable in written English.
It can be used when discussing concepts, values, or beliefs that are based on common understanding or mutual agreement among a group.
Example: "Our project is anchored in a shared vision of sustainability and community engagement."
Alternatives: "rooted in a common" or "based on a mutual".
But while his films are rife with cultural and scientific allusions, his unusual imagery possesses an accessibility that feels anchored in the shared language of the subconscious, making his films equally rewarding to the culturally hyperliterate and to those who simply enjoy visual stimulation.
Australia v England is a relationship that's evolved with every on-field chapter – heroic, unjust or just downright undignified – but always anchored in the shared history, awful and wonderful, of post-settlement Australia.
Weiner's piece was also anchored in some shared understanding of the subject -- in his case, the rock cognoscenti's wide dismissal of Creed.
Participant experiences however, were anchored in broadly shared cultural and structural systems.
Europe moves towards a political structure reminiscent of the situation in the late Middle Ages with a loose central power, strong regions, small political entities (Europe's original components), anchored in common and shared values -- in those days Catholicism, now an updated version of European values forged under pressure from globalization.
Under the leadership of Yayi Boni, Chair of the African Union and President of Benin, Africa is proposing a new approach -- one based on African leadership and anchored in shared responsibility and global solidarity.
When you are anchored in shared truth, you start to solve problems together.
The individual reacts by moving back to basics: Who am I? The response has been to look for joining groups anchored in common and shared values.
