gistfile1.js

var url = 'https://dominion.isotropic.org/gamelog/201302/24/game-20130224-103117-6c8c2cb8.html';
var regex = /^https?:\/\/dominion\.isotropic\.org\/gamelog\/\d*\/\d\d\/game\-(\d*)\-([^.]*)\.html$/;
var result = url.match(regex);
//console.log(result);
if(result){
  console.log('date: '+result[1]);
  console.log('id: '+result[2]);
};

/* Annotated
/^  //Begin regex, anchor to beginning of line
https?:\/\/dominion\.isotropic\.org 
    // s? means, match zero or one s

\/gamelog\/\d*\/\d\d 
    //forward slashes, dots, dash must be escaped. \d=digit

\/game\-(\d*)\-([^.]*)
    // capture group 1 is game date
    // capture group 2 (from - to next .) is game id or something?

\.html
$/  //End regex, anchor to EOL
*/