Questions tagged [ode]

ode - ordinary differential equations

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71 views

Game theory and differential equations

Does anybody know, any (advanced/classic) textbook that combines game theory with differential equations in mathematical economics. Specifically, I an interested in asymmetric information problems.
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Exchange rate modeling using a system of ODEs

I am looking for a book that explains exchange rates, capital flows, reserves, trade balance using a system of ordinary differential equations. An economist by the name of Muller-Plantenberg has this ...
5
votes
1answer
58 views

In economic modelling, how are we sure the linearized equilibria behave similarly to original equilibria?

The following problem is in the context of continuous time, although I suspect something could be said about discrete time also. Let's assume that we have the following equation: $$\dot x=f(x)$$ ...
2
votes
1answer
237 views

Dynamic Market Equilibrium: motivation for differential equations

I came across this discussion, claiming supply and demand are expressible in terms of its price as $$Q_s=c_1+w_1P+u_1P'+v_1P'',\,Q_d=c_2+w_2P+u_2P'+v_2P''.$$Equating supply to demand for an ...
2
votes
1answer
128 views

Analytically tractable Ramsey model: how to solve ODE for optimal trajectories

In Brunner and Strulik (2002) the authors claim, that the solution of \begin{align} \dot c &= \frac{c}{\sigma}(\alpha k^{\alpha-1} - \delta - \rho)\\ \dot k &= k^\alpha - \delta k - c \end{...
3
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0answers
105 views

Solving this system of ODE

I have the following system of equations $$ \rho V(u, \epsilon^i) = F(u, \epsilon^i) + V_u(u, \epsilon^i)g(u, V(u, \epsilon^i) + \lambda^i \left(V(u, \epsilon^{-i}) - V(u, \epsilon^i)\right)$$ with $...
3
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1answer
4k views

Dornbusch model for exchange rate undershooting

Is it possible to reproduce the nominal exchange rate undershooting within the framework of the Dornbusch model? If the government uses fiscal expansion, does undershooting happen?