Skip to content

Commit

Permalink
Update page_2.md
Browse files Browse the repository at this point in the history
  • Loading branch information
alxfed authored Jan 26, 2024
1 parent 814da0c commit e323ec8
Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions pages/page_2.md
Original file line number Diff line number Diff line change
Expand Up @@ -6,14 +6,14 @@ $$ P(A | B) = \frac{P(B | A) \cdot P(A)}{P(B)} $$

Incorporate feedback with Bayes' rule:

\[ P(A | B_1, B_2, ..., B_n) \propto P(A) \cdot \prod_{i=1}^{n} P(B_i | A) \]
$$ P(A | B_1, B_2, ..., B_n) \propto P(A) \cdot \prod_{i=1}^{n} P(B_i | A) $$

For game theory, Nash equilibrium guides strategic choices:

\[ \text{NE:} \quad \pi_i(s_i^*, s_{-i}^*) \geq \pi_i(s_i, s_{-i}^*) \]
$$ \text{NE:} \quad \pi_i(s_i^*, s_{-i}^*) \geq \pi_i(s_i, s_{-i}^*) $$

Explore meta-induction by adapting strategies based on opponents' past behaviors:

\[ s_i(t+1) = f(s_i(t), h_{-i}(t)) \]
$$ s_i(t+1) = f(s_i(t), h_{-i}(t)) $$

Iteratively update strategies considering historical outcomes and opponents' strategies.

0 comments on commit e323ec8

Please sign in to comment.