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Aoki, M. New Approaches to Macroeconomic Modeling: Evolutionary Stochastic Dynamics, Multiple Equilibria, and Externalities as Field Effects.
They also explore the design of policies to avoid the problem of multiple equilibria and indeterminacy.
This assumption avoids complications with the presence of multiple equilibria, and also greatly simplifies the computational burden of analyzing these models.
The present model features surprisingly rich population dynamics with multiple equilibria and unprotected dimorphisms, but the evolutionarily stable dimorphism is always protected.
This paper demonstrates that multiple equilibria and multiple local optima in metapopulations might lead to nonconvexities in the production possibilities set of agricultural profits and species conservation.
In general, the underlying economic structure may involve multiple equilibria and it is unclear whether or not the system can be controlled through internal pricing.
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In this paper we explain the basic idea of NMPC, give a proof concerning the accuracy of NMPC for discounted optimal control problems, present implementational details, and demonstrate the ability of NMPC to solve dynamic decision problems in economics by solving low and high dimensional examples, including models with multiple equilibria, tracking and stochastic problems.
The possibility of the presence of multiple equilibria in closed exchange and production-and-exchange economies is usually ignored in macroeconomic models even though they are important in real economies.
In this paper the problems of controller design for a class of nonlinear pendulum-like control system with multiple equilibria guaranteeing dichotomy and gradient-like property of the closed-loop systems are investigated.
First, the sum of the mole fractions of uncoupled Tn, corresponding to 0, 1, and 2 calcium bound (T1, T2, T3; Fig. 2), equals the sum of C and M. The mole fractions of coupled and uncoupled Tn states can be calculated by solving the partially overlapping multiple equilibria of coupled and uncoupled Tn states.
In fact, while it is not possible that an interaction affecting the chemical shift of a proton does not affect that of a nearby atom, it is highly likely that one proton is affected by multiple equilibria contributing cooperatively and leading to a magnified equilibrium constant.
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