# Questions tagged [continuous-time]

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### complete market in a two country context, continuous time

In a standard two country macro context (think Obstfeld-Rogoff), there is the unit root problem which prevents local analysis around the steady state. One way to get around this is to assume complete ...
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### Mechanism Design and game theory with stochastic caclulus

Does anybody know if there is a literature that combines mechanism design or market games with dynamic programming or stochastic calculus in general? I have heard about stochastic differential game ...
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### Relationship of continuous and discrete time models

I am trying to understand two comments from a colleague. I have no clue about continuous time models. He said something like "just replace $\delta$ with $e^{-rdt}$ the Poisson process becomes a ...
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### He, Krishnamurthy (2013)

How do you derive equation (10) on page 740 from He, Krishnamurthy (2013 AER)? They say that "Given the log objective function in equation (8), the risky asset household chooses $\alpha_t^h$ to solve ...
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### Finding optimal path in continuous time

I have the following optimal control problem $$\max_{c_t,l_t} \int_0^{\infty} [ln(c_t)+\theta ln(1-l_t)]e^{-pt}dt$$ st. $$\dot{k_t}=k_t^{1/2}l_t^{1/2}-c_t-\beta l_t$$ $$k_0>0$$ I do big part of ...
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Continuous trading economies. I see this expression in many papers but I do not know what it means in the precise technical sense. And I'm not an economist. Maybe it could refer to an economic ...
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### Stochastic growth in continuous time

Literature: See Chang (1988) for theoretical part and Achdou et al. (2015) for numerical part respectively. Model Consider the following stochastic optimal growth problem in per capita notation. \...
So I understand the derivation of the Kolmogorov Forward and Backward Equations, but I don't quite understand the intuition. Here is from Stokey, 2008: "The backward equation involves time $t$ and ...