This paper proposes a conceptual framework for the analysis of reward sharing schemes in mining pools, such as those associated with Bitcoin. The framework is centered around the reported shares in a pool instead of agents and results in two new fairness criteria, absolute and relative...

We consider a budget-constrained mechanism designer who selects an optimal set of projects to maximize her utility. A project's cost is private information and its value for the designer may vary. In this allocation problem, the selection of projects - both which and how many - is endogenously...