Let us first consider the sequential-decision argument for learning in response to new evidence by Bayesian conditionalisation, as it serves as a useful comparison for other sequential arguments.
The aim is to characterise the attitudes of agents who are practically rational, and various (static and sequential) arguments are typically made to show that certain practical catastrophes befall agents who do not satisfy standard decision-theoretic constraints.
Eloe, Kaufmann and Tisdell [12] have presented some sufficient conditions for the existence of three solutions for the equation x″ - a(t)x + f t, x) = 0 with the boundary conditions x 0) = x0 and x t) bounded on [0, +∞) by employing the degree theory on compact domains and the sequential arguments on unbounded domain.
This raises certain questions: (1) What precisely are the mutual or common knowledge assumptions that are required to justify the backwards induction argument for a particular sequential game? (2) As a sequential game increases in complexity, would we expect the mutual knowledge that is required for backwards induction to start to fail?
Here we review current approaches, with an emphasis on information theory, sequential data processing, and optimality arguments.
For instance, Chadli et al. in [31] obtained conditions for the existence of solutions of a sequential equilibrium problem via a viscosity argument under quite strong conditions.
Moran, M. D. Arguments for rejecting the sequential Bonferroni in ecological studies.
The illiterate cannot read while the post-literate read otherwise.î [Imagology] The fruits of literacy -- sequential reasoning, controlled and boundaried distinctions, logical argument -- are being dislodged from their millenia-llong dominance over Western thought.
The original argument in favor of the sequential lineup procedure comes from combining the correct and incorrect suspect ID rates into a ratio known as the diagnosticity ratio (DR).
Taken together these arguments favor the conclusion that sequential signal learning in the T-maze does not mimic a navigational task.
