1992 verlor er die interne Ausscheidung seiner Partei für die Wahl zum Senat der Vereinigten Staaten gegen Dianne Feinstein, die Bürgermeisterin von San Francisco. ###>===1992 campaign for Senate===Davis ran against San Francisco mayor Dianne Feinstein for the Democratic nomination for the United States Senate in the 1992 special election to fill the Senate seat vacated by Pete Wilson who was elected Governor of California in 1990.