This paper considers, in the context of the fixed-population constant-sum comparison of income distributions, a number of intransitive binary relations smaller than Lorenz dominance. We determine their transitive closure and we study how they relate to each other and to other relations that have...

Mankind must cooperate to reduce GHG emissions to prevent a catastrophic rise in global temperature. How can the necessary costs of reducing GHG emissions be allocated across regions of the world, within the next few generations, and simultaneously address growth expectations and economic...

Several authors in the economics literature have referred to Kantian behavior, informally, as a kind of cooperation. We model this notion precisely, and define two kinds of Kantian allocation. An set of strategies by players is Kantian if, informally, no player would advocate that all players...