Question: Which award was won by John G. Avildsen after the death of Alice Guy-Blaché?

Context paragraphs:
Solax Studios: Solax Studios was an American motion picture studio founded in 1910 by executives from the Gaumont Film Company of France.  Alice Guy-Blaché, her husband Herbert, and a third partner, George A. Magie, established The Solax Company.  Alice Guy-Blaché was artistic director and the director for many of its films, while her husband Herbert Blaché managed production for the new company.  They took over the studio Gaumont had built in Flushing, New York in 1908 for the production of Chronophone sound films, a venture which proved unsuccessful for Gaumont.  Solax produced silent films in Flushing from October 1910 to the summer of 1912.  Prospering, Solax invested more than $100,000 in a modern production plant in 1912 in Fort Lee, New Jersey, which had become the center of America's first motion picture industry.

Matrimony's Speed Limit: Matrimony's Speed Limit is a 1913 silent comedy short film produced and directed by pioneering female film maker Alice Guy-Blaché.  It was produced by Solax Studios when it and many other early film studios in America's first motion picture industry were based in Fort Lee, New Jersey at the beginning of the 20th century.

Falling Leaves (1912 film): Falling Leaves is a 1912 American silent short film by Alice Guy-Blaché, produced at Solax Studios.  Starring Solax stock actors, the story concerns a child's earnest effort to keep her dying sister alive by naive means.

Ash Avildsen: Ash Avildsen (born November 5, 1981, son of John G. Avildsen) is the founder and CEO of Sumerian Records and Sumerian Films, as well as the writer and director of the films "What Now" and "American Satan".  Avildsen also played a lead role in "What Now" and is responsible for numerous nationwide tours such as Summer Slaughter, All Stars Tour, Thrash and Burn, and the recent Sumerian 10 Year Anniversary tours.

Esmeralda (1905 film): Esmeralda (French: "Esméralda" ) is a 1905 French short silent film based on the novel "The Hunchback of Notre-Dame" written by Victor Hugo.  It was directed by Alice Guy-Blaché and Victorin-Hippolyte Jasset.

The Great Adventure (1918 film): The Great Adventure, also known as Her Great Adventure and Spring of the Year, is a 1918 silent film directed by Alice Guy-Blaché, and starring Bessie Love.

Alice Guy-Blaché: Alice Guy-Blaché (July 1, 1873 – March 24, 1968) was the first person to be a film director and writer of narrative fiction films.  She experimented with Gaumont's Chronophone sound syncing system, color tinting, interracial casting, and special effects.

John G. Avildsen: John Guilbert Avildsen (December 21, 1935 – June 16, 2017) was an American film director.  He won the Academy Award for Best Director in 1977 for "Rocky".  Other films he directed include "Joe" (1970), "Save the Tiger" (1973), "Fore Play" (1975), "The Formula" (1980), "Neighbors" (1981), "For Keeps" (1988), "Lean on Me" (1989), "Rocky V" (1990), "The Power of One" (1992), "8 Seconds" (1994), "Inferno" (1999) and the first three "The Karate Kid" films.

Luise Fleck: Luise Fleck, also known as Luise Kolm or Luise Kolm-Fleck, née Louise or Luise Veltée (1 August 1873–15 March 1950), was an Austrian film director, and considered the second ever female feature film director in the world, after Alice Guy-Blaché.  Her son, Walter Kolm-Veltée, was also a noted film director.

Tarnished Reputations: Tarnished Reputations is a 1920 American silent adventure drama film directed by Herbert Blache, Alice Guy-Blaché, and Léonce Perret and starring Dolores Cassinelli, Alan Roscoe, and Georges Deneubourg.  It is presumed to be a lost film.

Supporting paragraphs: Alice Guy-Blaché John G. Avildsen
Answer: Academy Award for Best Director