short-selling prohibition has been one of the primary assumptions of markowitz mean-variance model. solving markowitz quadratic model creates investment efficient frontier by considering only two return and budget constraints. in order to develop a more realistic portfolio selection model, in this paper, a new mathematical model is developed to allow short-selling under some practical constrain...

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, goods--each a specific size and value--need to be allocated such that bundle assigned each agent is total at most agent's budget. Since envy-free allocations do not necessarily exist in context, compelling relaxations--in particular, notion envy-freeness up...