Question: Are both Lydia Davis and Neil Simon playwrights?

Context articles: Lydia Davis
Neil Simon's I Ought to Be in Pictures
Last of the Red Hot Lovers (film)
David Scott Milton
The Sunshine Boys (1975 film)
Cook Islands literature
Neil Simon
Mel Tolkin
The Odd Couple (1970 TV series)
Clifford Odets

Lydia Davis (born July 15, 1947) is an American writer noted for literary works of extreme brevity (commonly called "flash fiction").
 Davis is also a short story writer, novelist, essayist, and translator from French and other languages, and has produced several new translations of French literary classics, including "Swann’s Way" by Marcel Proust and "Madame Bovary" by Gustave Flaubert.
Neil Simon's I Ought to Be in Pictures (also known simply as I Ought to Be in Pictures) is a 1982 American comedy-drama film directed by Herbert Ross and based on Neil Simon's play of the same name.
 The film stars Walter Matthau, Ann-Margret, and Dinah Manoff (the only cast member to reprise her Broadway role in the film).
 Other actors who have supporting roles are Lance Guest, Eugene Butler, David Faustino, Martin Ferrero and Michael Dudikoff.
Neil Simon's Last of the Red Hot Lovers is a 1972 comedy film based on Neil Simon's play of the same name.
 Alan Arkin, Sally Kellerman, Paula Prentiss and Renée Taylor star in it.
David Scott Milton (born September 15, 1934) is an American author, playwright, screenwriter, and actor.
 His plays are known for their theatricality, wild humor, and poetic realism, while his novels and films are darker and more naturalistic.
 As a novelist, he has been compared to Graham Greene, John Steinbeck, and Nelson Algren.
 Ben Gazzara’s performance in Milton’s play, "Duet", received a Tony nomination.
 Another play, "Skin", won the Neil Simon Playwrights Award.
 His theater piece, "Murderers Are My Life", was nominated as best one-man show by the Valley Theater League of Los Angeles.
 His second novel, "Paradise Road", was given the "Mark Twain Journal" award "for significant contribution to American literature."
The Sunshine Boys is a 1975 American comedy film directed by Herbert Ross and produced by Ray Stark, released by Metro-Goldwyn-Mayer and based on the play of the same name by Neil Simon, about two legendary (and cranky) comics brought together for a reunion and revival of their famous act.
 The cast included real-life experienced vaudevillian actor George Burns as Lewis, Walter Matthau as Clark, and Richard Benjamin as Ben, with Lee Meredith, F. Murray Abraham, Rosetta LeNoire, Howard Hesseman, and Ron Rifkin in supporting roles.
 This would be Matthau's last Neil Simon movie until 1982's "I Ought to Be in Pictures" with Ann-Margret and Dinah Manoff.
Written Cook Islands literature (as distinct from oral literature) has in some ways been a precursor to the development of Pacific Islands literature.
 Cook Islander Florence Frisbie was one of the Pacific Islands' first writers, publishing her autobiographical story "Miss Ulysses of Puka Puka" in 1948.
 Tongareva poet Alistair Te Ariki Campbell published his first collection, "Mine Eyes Dazzle", in 1950 (Christchurch: Pegasus Press).
 In 1960, Cook Islanders Tom Davis and Lydia Davis published "Makutu", "perhaps the first novel by South Pacific Island writers".
Marvin Neil Simon (born July 4, 1927) is an American playwright, screenwriter and author.
 He has written more than thirty plays and nearly the same number of movie screenplays, mostly adaptations of his plays.
 He has received more combined Oscar and Tony nominations than any other writer.
Mel Tolkin, né Shmuel Tolchinsky(August 3, 1913 – November 26, 2007), was a television comedy writer best known as head writer of the seminal live TV sketch comedy series "Your Show of Shows" (NBC, 1950–1954) during the Golden Age of Television.
 There he presided over a storied staff that at times included Mel Brooks, Neil Simon, Danny Simon, and Larry Gelbart.
 The writers' room inspired the film "My Favorite Year" (1982), produced by Brooks, and the Broadway play "Laughter on the 23rd Floor" (1993), written by Neil Simon.
The Odd Couple, formally titled onscreen Neil Simon's The Odd Couple, is an American television situation comedy broadcast from September 24, 1970, to March 7, 1975, on ABC.
 It stars Tony Randall as Felix Unger and Jack Klugman as Oscar Madison, and was the first of several sitcoms developed by Garry Marshall for Paramount Television.
 The show is based on the play of the same name, which was written by Neil Simon.
 Felix and Oscar are both divorced.
 They share a Manhattan apartment, and their different lifestyles inevitably lead to conflicts and laughs.
Clifford Odets (July 18, 1906 – August 14, 1963) was an American playwright, screenwriter, and director.
 Odets was widely seen as successor to Nobel Prize-winning playwright Eugene O'Neill as O'Neill began to retire from Broadway's commercial pressures and increasing critical backlash in the mid-1930s.
 From early 1935 on, Odets' socially relevant dramas proved extremely influential, particularly for the remainder of the Great Depression.
 Odets' works inspired the next several generations of playwrights, including Arthur Miller, Paddy Chayefsky, Neil Simon, David Mamet, and Jon Robin Baitz.
 After the production of his play "Clash by Night" in the 1941–1942 season, Odets focused his energies on film projects, remaining in Hollywood for the next seven years.
 He began to be eclipsed by such playwrights as Miller, Tennessee Williams and, in 1950, William Inge.