Iterated Removal of Dominated Strategies
The ability to systematically eliminate dominated strategies. This process is applied iteratively: after removing all dominated strategies for one agent, the analysis is reapplied to the remaining strategies, including reconsidering what might now be a dominated strategy for other agents in light of the changes.
Part 1
Below, find the payoff matrix for some game. You are the row player, which means the first number in the cell is your payoff and the second number is your opponent's payoff. Which one of your opponent's actions is dominated? payoff matrix
Part 2
Because you know that your opponent will not play a dominated action, we can remove that action from the payoff matrix. In the resulting game seen below, which one of your actions is dominated? reduced matrix
Use it
from datasets import load_dataset
ds = load_dataset("narunraman/steer", "iterated_removal")curl "https://steer-benchmark.cs.ubc.ca/api/sample?element_name=iterated_removal&n=5&seed=42"
See the Reference for the parameters.