With an eye on uncertainty: Modelling pupillary responses to environmental volatility
Fig 2
Sequences of outcomes emerging from random transition dynamics.
Fig 2a shows the sequence of outcomes (o) produced by the sequence of states (s) when the transition matrices for both sequences are deterministic. Fig 2b shows the sequence of states, and outcomes those states generate, when the matrix defining the transitions between states (B) is not deterministic. Even though the transitions from states to outcomes are still deterministic, as in Fig 2a, the final sequence of outcomes is different. In Fig 2c we show the consequences of introducing randomness into the transitions (matrix A) from states to events. The sequence of states remains the same as in Fig 2a, but the outcomes generated by each state are random, resulting in a different sequence of outcomes. Figs 2a and 2c demonstrate how randomness in the transition matrices can results in unpredictable sequences of outcomes.