Adrian Kent has a lengthy and detailed overview of MWIs pre-2009 which may interest you [0]. He discusses Wallace's formulation, contrasts it with other formula

Adrian Kent has a lengthy and detailed overview of MWIs pre-2009 which may interest you [0]. He discusses Wallace's formulation, contrasts it with other formulations and touches on branching indifference. He also has a more recent (and much more brief) article which refers to the Self-locating Uncertainty arguments [1]. I have previously come across Deutsch's formulation in terms of information flow [2], along with what seemed like a very strong criticism from Wallace and Christopher Timpson [3] that his model was not gauge-invariant. [0] https://arxiv.org/pdf/0905.0624.pdf https://arxiv.org/pdf/0905.0624.pdf [1] https://arxiv.org/abs/1408.1944 https://arxiv.org/abs/1408.1944 [2] https://arxiv.org/ftp/quant-ph/papers/9906/9906007.pdf https://arxiv.org/ftp/quant-ph/papers/9906/9906007.pdf [3] http://users.ox.ac.uk/~bras2317/dhshort2.pdf http://users.ox.ac.uk/~bras2317/dhshort2.pdf