Pivotal Buyers and Bargaining Position

Securing sales to a large buyer can be pivotal to a supplier's decision to produce. While conventional wisdom suggests that being pivotal improves a buyer's bargaining position, the opposite is shown in a multilateral bargaining model. If other buyers' payments fall short of costs, a pivotal buyer must cover the shortfall or forfeit consumption. This affords leverage that the supplier lacks when bargaining with non-pivotal buyers. The analysis illuminates contracting in markets with high fixed costs, such as cable television programming, motion pictures, and large-scale project finance, and has implications for the FCC's horizontal ownership limits on cable system operators.     

On invariant parametric covariance families

Summary In this note we characterize all linear transformations of random vectors which are invariant for a given parametric covariance family. Two one-dimensional covariance families are discussed in detail.