When you start using PostgreSQL 10 logical replication you might think it is a good idea to setup bi-directional replication so you end up with two or more masters that are all writable. I will not go into the details of multi master replication here (conflict resolution, …) but will show what happens when you try to do that. Lets go …

My two instances run on the same host, one on port 6000 the other one on 6001. To start I’ll create the same table in both instances:

postgres=# create table t1 ( a int primary key, b varchar(50) );
CREATE TABLE
postgres=# alter table t1 replica identity using INDEX t1_pkey;
ALTER TABLE
postgres=# d+ t1
                                            Table "public.t1"
 Column |         Type          | Collation | Nullable | Default | Storage  | Stats target | Description 
--------+-----------------------+-----------+----------+---------+----------+--------------+-------------
 a      | integer               |           | not null |         | plain    |              | 
 b      | character varying(50) |           |          |         | extended |              | 
Indexes:
    "t1_pkey" PRIMARY KEY, btree (a) REPLICA IDENTITY

Create the same publication on both sides:

postgres=# create publication my_pub for table t1;
CREATE PUBLICATION
postgres=# select * from pg_publication;
 pubname | pubowner | puballtables | pubinsert | pubupdate | pubdelete 
---------+----------+--------------+-----------+-----------+-----------
 my_pub  |       10 | f            | t         | t         | t
(1 row)
postgres=# select * from pg_publication_tables;
 pubname | schemaname | tablename 
---------+------------+-----------
 my_pub  | public     | t1
(1 row)

Create the same subscription on both sides (except for the port, of course):

postgres=# show port;
 port 
------
 6000
(1 row)
ppostgres=# create subscription my_sub connection 'host=localhost port=6001 dbname=postgres user=postgres' publication my_pub;
CREATE SUBSCRIPTION
postgres=# select * from pg_subscription;
 subdbid | subname | subowner | subenabled |                      subconninfo                       | subslotname | 
---------+---------+----------+------------+--------------------------------------------------------+-------------+-
   13212 | my_sub  |       10 | t          | host=localhost port=6001 dbname=postgres user=postgres | my_sub      | 
(1 row)


### second instance

postgres=# show port;
 port 
------
 6001
(1 row)

postgres=# create subscription my_sub connection 'host=localhost port=6000 dbname=postgres user=postgres' publication my_pub;
CREATE SUBSCRIPTION
postgres=# select * from pg_subscription;
 subdbid | subname | subowner | subenabled |                      subconninfo                       | subslotname | 
---------+---------+----------+------------+--------------------------------------------------------+-------------+-
   13212 | my_sub  |       10 | t          | host=localhost port=6000 dbname=postgres user=postgres | my_sub      | 
(1 row)

So far, so good, everything worked until now. Now lets insert a row in the first instance:

postgres=# insert into t1 (a,b) values (1,'a');
INSERT 0 1
postgres=# select * from t1;
 a | b 
---+---
 1 | a
(1 row)

That seemed to worked as well as the row is there on the second instance as well:

postgres=# show port;
 port 
------
 6001
(1 row)

postgres=# select * from t1;
 a | b 
---+---
 1 | a
(1 row)

But: When you take a look at the log file of the first instance you’ll see something like this (which is repeated over and over again):

2017-11-03 09:56:29.176 CET - 2 - 10687 -  - @ ERROR:  duplicate key value violates unique constraint "t1_pkey"
2017-11-03 09:56:29.176 CET - 3 - 10687 -  - @ DETAIL:  Key (a)=(1) already exists.
2017-11-03 09:56:29.178 CET - 29 - 10027 -  - @ LOG:  worker process: logical replication worker for subscription 16437 (PID 10687) exited with exit code 1
2017-11-03 09:56:34.198 CET - 1 - 10693 -  - @ LOG:  logical replication apply worker for subscription "my_sub" has started

Now the second instance is constantly trying to insert the same row back to the first instance and that obviously can not work as the row is already there. So the answer to the original question: Do not try to do that, it will not work anyway.