This paper describes a preliminary investigation into the use of normal form theory for modelling large non-linear dynamical systems. Limit cycle oscillations are determined for simple two-degree-of-freedom double pendulum systems. The double pendulum system is reduced into its centre manifold before computing normal forms. Normal forms are obtained using a period averaging method which is appl...

This paper provides a tractable characterization of feasibility of asymmetric reduced form auctions. Using this, auction design problems can be stated in terms of the reduced form only. This allows to solve optimal auction problems when classical solution techniques fail. DOI: https://doi.org/10.1016/j.econlet.2010.09.019 Posted at the Zurich Open Repository and Archive, University of Zurich ZO...

This paper studies resource-allocation mechanisms by using a reduced-form notion of mechanism. We formulate a mechanism by specifying the state space of the mechanism, the set of outcomes that agents can induce in a given state, and the set of admissible outcomes in each state. This notion of mechanism includes the Walrasian mechanism and majority voting as well as all game forms. With this not...

We present a family of resource constraints which allow us to model scheduling problems with time variable resource cost. Our main use case is energy cost minimization, by avoiding peak electricity usage periods in the generated schedule. This at the same time helps to balance the overall demand profile, leading to reduced stress on the national electricity grid. The proposed constraints extend...

Geography models have introduced and estimated a set of competing explanations for the persistent relationships between firm and location characteristics, but cannot identify these forces. I introduce a solution method for models in arbitrary geographies that generates reduced-form predictions and tests to identify forces acting through geographic linkages. This theoretical approach creates a n...