Agent Connectedness and Backward Induction

International Game Theory Review 13 (2):195-208 (2011)

Authors
Conrad Heilmann
Erasmus University Rotterdam
Abstract
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.
Keywords Backward induction  Epistemic independence  Interactive epistemology  Multiple-selves
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