Step 1: What is asked.
We need the writer of the Booker Prize winning novel The Inheritance of Loss.
Step 2: About the book.
This novel deals with ideas like migration, change, and the search for identity in a globalised world.
Step 3: The author.
It was written by the Indian writer Kiran Desai. The book came out in 2006.
Step 4: The award.
It won the Man Booker Prize for the year 2006, which was a proud moment for Indian writing in English.
Step 5: Remove wrong names.
Shakespeare, Salman Rushdie, and Ralph Ellison are famous writers, but none of them wrote this book.
Step 6: Conclusion.
So the author is Kiran Desai.
Answer: Kiran Desai