Semi-protected edit request on 6 May 2014 

 Artifical Intelligence based Solver 
On 4th April 2014, an algorithm submission contest to solve 2048 game was started in Matlab Central Exchange.http://blogs.mathworks.com/pick/2014/04/04/submit-your-algorithms-to-solve-2048/
On 2nd May 2014, the algorithms submitted by Oliver Woodford, Athi Narayanan and Viktor were declared as the winning algorithms.
Both Oliver's and Athi's submissions were able to very successfully achieve 2048 and reach 4096 (in a 1000-run simulation experiment).
http://blogs.mathworks.com/pick/2014/05/02/2048-algorithms/
The Matlab implementation of the Artificial intelligence based 2048 Game solver submitted by Athi is available online.
http://www.mathworks.in/matlabcentral/fileexchange/46483-2048-game-solver