Matching values in multiple columns in R based on condition

Say I have a datafame df

resident    faculty    submittedBy    match    caseID    phase

george      sally      george         1        george_1  pre
george      sally      sally          0        george_1  pre
george      sally      george         1        george_1  intra
jane        carl       jane           1        jane_1    pre
jane        carl       carl           1        jane_1    pre
jane        carl       carl           0        jane_1    intra

and I want to add a column df$response to this dataframe according to the following parameters (I'm thinking I need a set of nested ifelses, but I'm struggling to execute it correctly):

For a given row X, if df$match = 1, print "1" in df$response if any row in df$match where df$match = 0 has the same contents in df$caseID, df$faculty, and df$phase as row X. Otherwise print "0".

So the output should be this:

response

1
0
0
1
0
0