This lecture covers game theoretical lotteries, support of lotteries, and degenerate lotteries, showing why we need to cover preferences over lotteries to be able sensibly solve our games.
A lottery is a probability distribution over outcomes.
Something is in the support of a lottery if there is positive probability of it occuring.
A degerenate lottery is a lottery where a single event occurs with probability 1; that is, a single event is guaranteed to happen. Thus, our discussion of deterministic events is also a discussion of degenerate lotteries.
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