A picking sequence is a protocol for fair item assignment. Suppose m items have to be divided among n agents. One way to allocate the items is to let one agent select a single item, then let another agent select a single item, and so on. A picking-sequence is a sequence of m agent-names, where each name determines what agent is the next to pick an item.
As an example, suppose 4 items have to be divided between Alice and Bob. Some possible picking sequences are:
AABB - Alice picks two items, then Bob picks the two remaining items.
ABAB - Alice picks one item, then Bob picks one item, then Alice again, then Bob again. This is more "fair" than AABB since it lets Bob more chance to get a better item.
ABBA - Alice picks one item, then Bob picks two items, then Alice receives the remaining item. This is intuitively even more "fair" than ABAB, since, in ABAB, Bob is always behind of Alice, while ABBA is more balanced.[1]
^Steven Brams and Alan D. Taylor (1999–2000). ' The Win-Win Solution: Guaranteeing Fair Shares to Everybody. New York: W. W. Norton.
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