# 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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### Complete Markets in Continuous Time

In the standard discrete time economies with a finite number of states, $n$, a complete markets economy is simply an economy with $n$ independent assets (Think Ljunqvist and Sargent Chapter 8). This ...
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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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### Application of Poisson process in economic modelling

To understand the emergence of constitution, Myerson (2008) models a scernario that a political leader gathers supports from captains in order to defeat challengers whose arrival is modelled by a ...
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### Intuition of the Kolmogorov Equations

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 ...
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