employ (variants of) the so-called Boston mechanism the transition would lead to efficiency gains. The first two mechanisms … fixed number of schools to be acceptable. We focus on the stability and efficiency of the Nash equilibrium outcomes. Our … main results identify rather stringent necessary and sufficient conditions on the priorities to guarantee stability or …

outlined. To compute stability, the new notation is used for implementation into computer coding. Implementation and … of being stable and/or effective. This paper focuses on computing stability in a game on multiple coalition formation … computation aspects are discussed. Numerical illustration of the algorithm shows that stability varies with the applied membership …