Introduction / Jens David Ohlin, Larry May and Claire Finkelstein -- Part I. Necessity and the lives of combatants -- The dispensable lives of soldiers / Gabriella Blum -- Sharp wars are brief / Jens David Ohlin -- Humanity, necessity, and the rights of soldiers / Larry May -- The deaths of combatants : superfluous injury and unnecessary suffering in contemporary warfare / Michael L. Gross -- Part II. Proportionality, civilian harm, and soldiers -- Proportionate defense / Jeff McMahon -- Proportionate killing : using traditional jus in bello conditions to model the relationship between liability and lesser-evil justifications for killing in war / Jovana Davidovic -- Compensation and proportionality in war / Saba Bazargan-Forward -- A theory of jus in bello proportionality / Adil Ahmad Haque -- Proportionality in warfare as a political norm / Ariel Colonomos -- Part III. Combatancy and the value of lives in asymmetric conflict -- The equality of combatants in asymmetric war / Claire Finkelstein -- Rewriting the AUMF : bringing guidance to executive decisions on combatancy and returning the US to the path of the War Convention / Jon Todd -- Weighing unjust lives / Andrew T. Forcehimes -- Joint and combined targeting : structure and process / Michael Schmitt, Jeffrey Biller, Sean C. Fahey, David S. Goddard, and Chad Highfill.