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- W2964306534 abstract "AbstractConsider an arbitrary set S and an arbitrary function f : ℝ → S. We think of the domain of f as representing time, and for each x ∊ ℝ, we think of f(x) as the state of some system at time x. Imagine that, at each time x, there is an agent who can see the values of f on (—∞, x) and is trying to guess f(x)—in other words, the agent is trying to guess the present state of the system from its past history. In a 2008 paper, Christopher Hardin and Alan Taylor use the axiom of choice to construct a strategy that the agents can use to guarantee that, for every function f, all but countably many of them will guess correctly. In a 2013 monograph, they introduce the idea of anonymous guessing strategies, in which the agents can see the past but don't know where they are located in time. In this paper, we consider a number of variations on anonymity. For instance, what if, in addition to not knowing where they are located in time, agents also do not know the rate at which time is progressing? What if they hav..." @default.
- W2964306534 created "2019-07-30" @default.
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- W2964306534 date "2016-01-01" @default.
- W2964306534 modified "2023-09-27" @default.
- W2964306534 title "Anonymity in Predicting the Future" @default.
- W2964306534 doi "https://doi.org/10.4169/amer.math.monthly.123.8.777" @default.
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