I've recently stumbled upon Yoram Hazony's important lecture in the "The Bible and Philosophy" conference. It touches many ideas that I've encountered while studying Biblical Thought, either through R' Eliezer Berkovits' work or others like R' Yoel Bin-Nun and R' Yuval Cherlow. The main idea which I agree with, is that according to ancient Hebrew worldview, reality was quite fluid, and that there is no such thing as static being, in full negation with Greek philosophy (especially Aristotelian). This idea was essential for us when we investigated the meaning of the Tetragrammaton (YHWH – יהו"ה ) on this page.
Another important idea (already observed and maybe given to Hazony by Ethan Dor-Shav here), that "davar" דבר is never a concrete thing – but always related to speech.
That being said, I'm not sure I can agree with what he claimed in 12:34 – 13:50 that God is also changing. He bases it on Exodus 3/13-14. He rightly claims that the name give is "I WILL BE" and not "I AM".
However, as Rabbi Berkovits mentioned , "I WILL BE" is correctly understood by the Talmudic Rabbis as God's involvement with history . That means that "I WILL BE" should be understood as an ethical claim, rather than just a theological one. Moses is asking to know God's name which is His manifestation (see Man and God – a summary). Therefore, "I WILL BE" does not speak about a changing essence but a changing understanding of His involvement. Since our understanding is changing, so is his name, because it's we humans who are doing the naming. 
 God, Man and History, pg. 171
 rather the common-yet-wrong translation "I AM", the Rabbis rightly made a derash:
tell them that as have been with them in this subjugation, so shall I will be with them in their future subjugations (Berachot, 9/b)
 Because I think that most Biblical passages deal with ethics, rather than with metaphysics, I didn't rely on Malachi 3/6, which according to the context of the whole chapter talks in ethical terms rather than theological (I therefore think that the translation is misleading):
For I YHWH hasn't changed; and ye, O sons of Jacob, are not consumed.