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Apr
22
reviewed Approve Minimum Volume of a circular, right cone, with a sphere inscribed in it.
Apr
22
comment How do I weight votes based on number of possible voters?
Nice! But it is hardly THE solution, merely A (albeit elegant) solution.
Apr
22
reviewed Approve Summation of trigonometric series
Apr
22
reviewed Approve How to prove $\operatorname{Span}(\operatorname{Span}(S)) = \operatorname{Span}(S)$
Apr
20
comment Non-uniqueness of worst-case (max-min or min-max) optimization
I think I was unclear before, so I edited and tried to give you the rough steps you could take to find the policy that maximizes the worst possible outcome. I hope this helps!
Apr
20
revised Non-uniqueness of worst-case (max-min or min-max) optimization
added 525 characters in body
Apr
18
comment Gross Substitutes under continuous perturbations
Could you provide a definition of the gross substitute property?
Apr
17
revised Method of moments estimation for $\theta$
Fixed typos / English
Apr
17
answered Profit Function where total revenue is re-spent on production?
Apr
17
answered Comparison of parameter: two different populations
Apr
17
answered Non-uniqueness of worst-case (max-min or min-max) optimization
Apr
14
awarded  Popular Question
Mar
25
awarded  Yearling
Dec
19
awarded  Constituent
Dec
17
comment Sufficient conditions for monotonicity with probability distributions
No, a negative $\delta$ reverses everything: larger $n$ reduces $A_n$.
Dec
17
answered Assumptions of a probability distribution
Dec
17
comment Derivatives defined on a discrete state space
Well this is standard economics; deriving demand functions should be explained in every microeconomics textbook. The above decision problem seems a bit macroish, so you might also find something useful in macroeconomics textbooks, typically with infinitely many future periods and a discount factor ("infinite horizon decision problem") instead of just two periods as in your case. Acemoglu: "Introduction to modern economic growth", ch. 5 and others work with suchs problems.
Dec
17
comment Derivatives defined on a discrete state space
Not necessarily: typically the demand function is defined/constructed for all $\omega\in[0,\bar{\omega}]$, where $\bar{\omega}$ is the largest possible realization of $\omega$. So the function can be continuous in $\omega$ (Berge's maximum theorem guarantees the demand function will be upper hemi-continuous in $\omega$). The demand function is like a plan: it gives you a consumption level for each value $\omega\in[0,\bar{\omega}]$. But since not every value in that set actually realizes, it is true that the actual consumption may be discontinuous, because wealth is discrete.
Dec
17
comment Derivatives defined on a discrete state space
Here's how I think it works: at some point $t$, the decision maker (DM) has wealth $\omega$. This is the state variable. Wealth may be exogenous or evolves according to some process. At time $t$, the DM knows $\omega$, and he chooses consumption this period and saves the rest for next period. Next period, there is some uncertainty (over $\omega_{t+1}$?), hence the E-operator. So the demand/consumption function is a mapping $C:[0,\omega]\to[0,\omega]$ which tells you which part of wealth is consumed now and which is saved. I think just the the $\omega$ process over time is discrete.
Dec
17
answered Derivatives defined on a discrete state space