Social welfare relations and irregular sets

Social welfare relations satisfying Pareto and equity principles on infinite utility streams have revealed a non-constructive nature, specifically by showing that in general they implies the existence of non-Ramsey sets non-Lebesgue measurable sets. In [5, Problem 11.14], authors ask whether such connection holds with non-Baire as well. this paper we answer question several versions acting different domains imply Furthermore, analyse more details needed fragments AC start systematic investigation social diagram similar fashion done past decades concerning cardinal invariants regularity properties reals. doing use tools from forcing theory, specific tree-forcings (in particular variants Silver Mathias forcings) Shelah's amalgamation.