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In the table, why does the host picking one of the other boxes get combined into a single probability row? If the host could pick either box, and both of those
by darkerside 4y ago
In the table, why does the host picking one of the other boxes get combined into a single probability row? If the host could pick either box, and both of those choices result in a loss, should we count that as additional possibilities?
- lapinot 4y agoThe random action of the host choosing to open one of the two loosing boxes is not distinguishable by the player: the resulting states are always part of the same information-set in game-theory parlance. As player actions are always only depending on information-sets, the table actually contains information-sets as rows. It only looks weird because most of the information-sets of the game assign deterministic values to all the variables.