XML Children Nodes

This is my XML file:

<gamesList>
   <ID1>00000000000</ID1>
   <ID>USER</ID>
   <games>
      <game>
         <appID>000000</appID>
         <name>Dead Rising 3</name>
         <logo></logo>
         <storeLink></storeLink>  
         <hoursLast2Weeks>7.2</hoursLast2Weeks>
         <hoursOnRecord>7.2</hoursOnRecord>
         <statsLink></statsLink>
         <globalStatsLink></globalStatsLink>
      </game>
      <game>
         <appID>000000</appID>
         <name>Dead Rising 3</name>
         <logo></logo>
         <storeLink></storeLink>  
         <hoursLast2Weeks>7.2</hoursLast2Weeks>
         <hoursOnRecord>7.2</hoursOnRecord>
         <statsLink></statsLink>
         <globalStatsLink></globalStatsLink>
      </game>
   </games>
</gameslist>

I'm trying to get the 'name' and 'appID' sections of the XML. There will be up to 200+ items in the list.

I tried doing

foreach($xml->children() as $child)
    echo $child['name'];

and it didn't work.

I've never worked with PHP in this way, so I have literally no idea how or what way to start this.