React.js create loop through Array

In CurrentGame component you need to change initial state because you are trying use loop for participants but this property is undefined that’s why you get error.,

getInitialState: function(){
    return {
       data: {
          participants: [] 
       }
    };
},

also, as player in .map is Object you should get properties from it

this.props.data.participants.map(function(player) {
   return <li key={player.championId}>{player.summonerName}</li>
   // -------------------^^^^^^^^^^^---------^^^^^^^^^^^^^^
})

Example