How to store data with dynamic number of attributes in a database
Solution 1:
If you ever plan on searching for specific attributes, it's a bad idea to serialize them into a single column, since you'll have to use per-row functions to get the information out - this rarely scales well.
I would opt for your second choice. Have a list of attributes in an attribute table, the objects in their own table, and a many-to-many relationship table called object attributes.
For example:
objects:
object_id integer
object_name varchar(20)
primary key (object_id)
attributes:
attr_id integer
attr_name varchar(20)
primary key (attr_id)
object_attributes:
object_id integer references (objects.object_id)
attr_id integer references (attributes.attr_id)
oa_value varchar(20)
primary key (object_id,attr_id)
Your concern about performance is noted but, in my experience, it's always more costly to split a column than to combine multiple columns. If it turns out that there are performance problems, it's perfectly acceptable to break 3NF for performance reasons.
In that case I would store it the same way but also have a column with the raw serialized data. Provided you use insert/update triggers to keep the columnar and combined data in sync, you won't have any problems. But you shouldn't worry about that until an actual problem surfaces.
By using those triggers, you minimize the work required to only when the data changes. By trying to extract sub-column information, you do unnecessary work on every select.
Solution 2:
A variation on your 2d solution is just two tables (assuming all attributes are of a single type):
T1: |Object data columns|Object_id|
T2: |Object id|attribute_name|attribute value| (unique index on first 2 columns)
This is even more efficient when combined with 3rd solution, e.g. all of the common fields go into T1.
Sstuffing >1 attribute into the same blob is no recommended - you can not filter by attributes, you can not efficiently update them