We conceive of a player in dynamic games as a set of agents, which are assigned the distinct tasks of reasoning and node-specific choices. The notion of agent connectedness measuring the sequential stability of a player over time is then modeled in an extended type-based epistemic framework. Moreover, we provide an epistemic foundation for backward induction in terms of agent connectedness. Besides, it is argued that the epistemic independence assumption underlying backward induction is stronger than usually presumed.

Backward induction, epistemic independence, interactive epistemology, multiple-selves
dx.doi.org/10.1142/S0219198911002940, hdl.handle.net/1765/65240
International Game Theory Review
Erasmus School of Philosophy

Bach, C.W, & Heilmann, C. (2011). Agent connectedness and backward induction. International Game Theory Review, 13(2), 195–208. doi:10.1142/S0219198911002940