Diverse problems in optimization, engineering, and economics have natural formulations in terms of complementarity conditions, which state (in their simplest form) that either a certain nonnegative variable must be zero or a corresponding inequality must hold with equality, or both. A variety of algorithms have been devised for solving problems expressed in terms of complementarity conditions. ...

An extension of the linear complementarity problem (LCP) of mathematical programming is the so-called rational complementarity problem (RCP). This problem occurs if complementarity conditions are imposed on input and output variables of linear dynamical input/state/output systems. The resulting dynamical systems are called linear complementarity systems. Since the RCP is crucial both in issues ...

Joint ventures, a particularly popular form of corporate cooperation, exhibit ownership patterns that are clustered around equal shareholdings for a wide variety of parent firms. In this paper, we investigate why 50-50 or “50 plus one share" equity allocations should be so prevalent. In our model, parent firms trade off control benefits and costs with incentives for resource contributions in th...

We present a partnership model where heterogeneous agents bargain over the gains from trade and are allowed to search on the match. Because of frictions, agents extract higher rents from more productive partners, generating an endogenous preference for high types. As individuals search while matched, more productive agents upgrade their partners more often, and therefore the equilibrium distrib...

This paper develops a theory of technology transfer when technology is embodied in human capital and learning requires on-the-job communication between managers and workers. Patterns of knowledge diffusion depend on where high knowledge managers work and how much time they allocate to training workers. Managers appropriate the surplus training creates and in the open economy managers face a cro...

Motivated by Mermin’s analysis of Einstein-Podolsky-Rosen correlations [25] and [6] we study two computational complementarity principles introduced in [7] for a class of probabilistic automata. We prove the existence of probabilistic automata featuring both types of computational complementarity and we present a method to reduce, under certain conditions, the study of computational complementa...

Theory predicts shifts in the magnitude and direction of biodiversity effects on ecosystem function (BEF) over succession, but this theory remains largely untested. We studied the relationship between aboveground tree biomass dynamics (Δbiomass) and multiple dimensions of biodiversity over 8-16 years in eight successional rainforests. We tested whether successional changes in diversity-Δbiomass...

We analyse liquidity constraints in the Vintage Human Capital Model of Chari and Hopenhayn (1991). Comparing two economies with di¤ering degrees of liquidity constraints, the more constrained economy exhibits slower technology di¤usion, uses a larger range of technologies and displays more lifetime income inequality. Allowing for skill transfers between the two economies gives rise to technique...

In this contribution, we propose an efficient collaborative strategy for online change detection, in a distributed sensor network. The collaborative strategy ensures the efficiency and the robustness of the data processing, while limiting the required communication bandwith. The observed systems are assumed to have each a finite set of states, including the abrupt change behavior. For each disc...