Why can't you manage one node from another?

[Mark Jones]

I have 3 nodes in the cluster, and
    bin/nodetool --host this-host-name ring
Works as expected, but
    bin/nodetool --host some-other-host ring

always throws this exception:

Error connecting to remote JMX agent!
java.rmi.ConnectException: Connection refused to host: 127.0.1.1; nested 
exception is:
        java.net.ConnectException: Connection refused
        at sun.rmi.transport.tcp.TCPEndpoint.newSocket(TCPEndpoint.java:619)
        at 
sun.rmi.transport.tcp.TCPChannel.createConnection(TCPChannel.java:216)
        at sun.rmi.transport.tcp.TCPChannel.newConnection(TCPChannel.java:202)
        at sun.rmi.server.UnicastRef.invoke(UnicastRef.java:128)
        at javax.management.remote.rmi.RMIServerImpl_Stub.newClient(Unknown 
Source)
        at 
javax.management.remote.rmi.RMIConnector.getConnection(RMIConnector.java:2343)
        at 
javax.management.remote.rmi.RMIConnector.connect(RMIConnector.java:296)
        at 
javax.management.remote.JMXConnectorFactory.connect(JMXConnectorFactory.java:267)
        at org.apache.cassandra.tools.NodeProbe.connect(NodeProbe.java:105)
        at org.apache.cassandra.tools.NodeProbe.<init>(NodeProbe.java:81)
        at org.apache.cassandra.tools.NodeCmd.main(NodeCmd.java:404)
Caused by: java.net.ConnectException: Connection refused
        at java.net.PlainSocketImpl.socketConnect(Native Method)
        at 
java.net.AbstractPlainSocketImpl.doConnect(AbstractPlainSocketImpl.java:310)
        at 
java.net.AbstractPlainSocketImpl.connectToAddress(AbstractPlainSocketImpl.java:176)
        at 
java.net.AbstractPlainSocketImpl.connect(AbstractPlainSocketImpl.java:163)
        at java.net.SocksSocketImpl.connect(SocksSocketImpl.java:384)
        at java.net.Socket.connect(Socket.java:542)
        at java.net.Socket.connect(Socket.java:492)
        at java.net.Socket.<init>(Socket.java:389)
        at java.net.Socket.<init>(Socket.java:203)
        at 
sun.rmi.transport.proxy.RMIDirectSocketFactory.createSocket(RMIDirectSocketFactory.java:40)
        at 
sun.rmi.transport.proxy.RMIMasterSocketFactory.createSocket(RMIMasterSocketFactory.java:146)
        at sun.rmi.transport.tcp.TCPEndpoint.newSocket(TCPEndpoint.java:613)
        ... 10 more


My hosts file looks like:

127.0.0.1       localhost
127.0.1.1       ec1

# The following lines are desirable for IPv6 capable hosts
::1     localhost ip6-localhost ip6-loopback
fe00::0 ip6-localnet
ff00::0 ip6-mcastprefix
ff02::1 ip6-allnodes
ff02::2 ip6-allrouters
ff02::3 ip6-allhosts