Socialism is conceptualized as a society in which individuals cooperate, distinguished from capitalism, characterized as involving ubiquitous economic competition. Here, I embed a formal model of cooperation in an Arrow-Debreu model, using the Kantian optimization protocol, and define a...

We study the assignment of discrete resources in a general model encompassing a wide range of applied environments, such as school choice, course allocation, and refugee resettlement. We allow single-unit and general multi-unit demands and any linear constraints. We prove the Second Welfare...