Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problems are co...

In this paper we model coupled genetic and metabolic networks as hybrid systems. The vector fields are multi affine, i.e., have only product type nonlinearities to accommodate chemical reactions, and are defined in rectangular invariants, whose facets correspond to changes in the behavior of a gene or enzyme. For such systems, we showed that reachability and safety verification problems can be ...

Abstract We study a unique dataset with comprehensive coverage of daily prices in large multi-product retailers Israel. Retail stores synchronise price changes around occasional ‘peak’ days when they reprice 10% their products. To assess aggregate implications partial synchronisation, we develop new model which firms face economies scope adjustment, and synchronisation is endogenous. Synchronis...

It is essential that any system to be introduced to the cockpit for use by the flight crew be thoroughly evaluated. This evaluation must include a comprehensive range of human factors measures designed to provide a multi-dimensional assessment of the system in use. Additionally, the evaluation must be carried out within its unique operational environment. A rigorous assessment methodology is ne...

We address a generic price competition model in an industry with an arbitrary number of competitors, each offering all or a subset of a given line of N products. The products are substitutes in the sense that the demand volume of each product weakly increases whenever the price of another product increases. The cost structure is linear, with arbitrary cost rates. Our demand model is the unique ...

This paper develops a general equilibrium model of international trade that features selection across firms, products and countries. Firms’export decisions depend on a combination of firm “productivity” and firm-product-country “consumer tastes”, both of which are stochastic and unknown prior to the payment of a sunk cost of entry. Trade liberalization induces endogenous reallocations of resour...