# Questions tagged [decision-theory]

For questions regarding formal decision problems. In contrast, questions involving strategic aspects (where the solution depends on the behavior of others) are discussed in game theory.

270 questions
Filter by
Sorted by
Tagged with
24 views

### Ranking methods for [1-X] voters and N candidates

Situation I must rank N options (N = 54 here, but could be lower or higher) according to X voters (X = 1 here, though I am also ...
33 views

207 views

1 vote
839 views

### Probability of Error: Binary Communication Channel?

I have a binary communication channel shown below: with the following parameters: $\pi_0 = 0.3$ $\pi_1 = 0.7$ $\epsilon_0 = 0.2$ $\epsilon_1 = 0.1$ Goal: compute the probability of error and ...
30 views

### Decision based on decision tree

Based on a text I created a decision tree. This decision tree shows options A, B and C. I calculated the value that could be expected for each decision and the highest one would be that of option C ...
1 vote
204 views

### Use Jensen's inequality to show $\underset {\theta}{\operatorname {max}} \mathbb E[L(\theta, \delta(X)]\ge ...$

Consider binary random vector $X \in \{0, 1\}^n$. Consider the most general model for such a random vector \$\Omega = \{ \theta=(\theta_x)_{x \in\{0,1\}^n} | \theta_x\ge0, \forall x \in \{0, 1\}^n, \...
1 vote