Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

In this paper we show how an upstream firm can prevent destructive competition among downstream firms producing relatively close substitutes by implementing a price-dependent profit-sharing rule. The rule also ensures that the downstream firms undertake investments which benefit the industry in...