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We are looking for a perception-perfect strategy with $s=(0,0,\dots)$ and $\hat s=(1,1,\dots)$

The agent may believe she will enrol tomorrow if:

$$\begin{align} 0+\hat\beta\delta\left(-c_0-c_1+\frac\delta{1-\delta}b\right)&\le-c_0-c_1+\frac{\hat\beta}\delta1-\delta b\\ (1-\hat\beta\delta)(c_0+c_1)&\le\hat\beta\delta b \end{align}$$

I know that the LHS refers to the utility the agent thinks she will get if she consumes tomorrow, but I don't know what the RHS is. Can anyone tell me what the RHS refers to?

This is from my economics lecture notes. This is in the context of beta-delta discounting, where $c_0+c_1$ is the cost of doing the task, and $b$ is the benefit from doing the action in all periods following the task.

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    The right hand side is nothing but a series of symbols presented without context.2012-12-18
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    this is in the context of calculating present values, if that helps2012-12-18
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    Unfortunately, it doesn't help at all. Those symbols are completely undefined as far as I, or anyone else here, can tell. You should fully write out the question, state what things mean, and state what you know. Only then can you hope to receive an answer.2012-12-18

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