Delete all files if another files in the same directory has a matching occurence of a

Hello,
I have several files in a specific directory.
A specific string in one file can occur in another files.
If this string is in other files. Then all the files in which this string occured should be deleted and only 1 file should remain with the string.

Example.
file1
ShortName "Blue Jeans"
price 89.47
cur EURO
file2
ShortName "Blue Jeans"
Price 59.47
CUR USD
file3
ShortName "Blue Jeans"
Price 99.47
CUR GBP
Since the value of ShortName "Blue Jeans" is occuring in file2 & file3. Both this file should be deleted. Similarly files with other ShortName
Could any one please help me how can it done via script (ksh, SED, AWK). I am on solaris.

Thank you

ShortName "Blue Jeans"

is not a really good way....
grep -c "ShortName .Blue Jeans"
give you the NUMBER of files containing this string
if less 2, exit
grep -l "ShortName .Blue Jeans"
give a LIST of files containing this string
skip the first and kill the rest
regards