Foundations of Dominant-Strategy Mechanisms

Robert Wilson criticizes applied game theory's reliance on common-knowledge assumptions. In reaction to Wilson's critique, the recent literature of mechanism design has adopted the goal of finding detail-free mechanisms in order to eliminate this reliance. In practice this has meant restricting attention to simple mechanisms such as dominant-strategy mechanisms. However, there has been little theoretical foundation for this approach. In particular it is not clear the search for an optimal mechanism that does not rely on common-knowledge assumption would lead to simpler mechanisms rather than more complicated ones. This paper tries to fill the void. In the context of an expected revenue maximizing auctioneer, we investigate some foundations for using simple, dominant-strategy auctions.     

A different perspective on operating leverage: Comments

A recent article in this journal by Dran (1991) suggests that the usual treatment of degree of operating leverage (DOL) is misleading because it improperly attributes the DOL to the ratio of fixed to total costs rather than the closeness of the firm’s output to breakeven. Managerial economics texts are clear in identification of DOL as an elasticity concept which varies with the nearness to break-even. Examples associating DOL with the relative level of fixed cost arise from association of higher fixed costs with higher breakeven points, and this appears to be the normal economic relationship.     

Moment inequalities for order statistics from ordered families of distributions

Summary In this paper some inequalities for the variance and covariance of convex monotone functions of order statistics from ordered families of distributions are presented. The considered order relations in the set of distributions are the stochastic ordering relation and the convex ordering relation. Stochastic comparisons of spacings and their sums are also given. As corollaries the results for IFR and DFR distributions are obtained.     

Unfair dismissal legislation and property rights: some reflections

Starting from the premise that workers have ‘property rights’ in their jobs, this article considers ways in which British unfair dismissal legislation might be said to uphold such rights. The evidence indicates that remedies of compensation and re-employment afford minimal property rights to unfairly dismissed workers.     

THE JOINT ARRIVAL AND DEPARTURE PROCESS FOR THE M/M/l QUEUE

We consider the M/M/1-queue and derive an explicit expression for the joint distribution of the number of arrivals and the number of departures in [0, t), given the number of customers initially present. The derivation is almost purely combinatorial, it avoids the use of generating functions, and immediately yields a simple probabilistic interpretation of the result.