3 problems

Given a finite set of indivisible items $M$, agents $N=\{1,\ldots,n\}$ with positive entitlements $w_i>0$, and additive valuations $v_i:2^M\to\mathbb{R}$, does there always exist a…

Let Algorithm be the algorithm defined in the paper, let $M$ denote its termination parameter, and let $\epsilon>0$. Termination conjecture. Algorithm will terminate with…

Let $\Lambda\in(0,1)$ be a peak. A Single-Peaked Jump Schelling Game and a Single-Peaked Swap Schelling Game are instances of the respective models, and $\operatorname{NE}$ denotes…