This chapter introduces a novel framework for modeling interacting humans in a multi-stage game. This \u201diterated semi network-form game\u201d framework has the following desirable characteristics: (1) Bounded rational players, (2) strategic players (i.e., players account for one another\u2019s reward functions when predicting one another\u2019s behavior), and (3) computational tractability even on real-world systems. We achieve these benefits by combining concepts from game theory and reinforcement learning. To be precise, we extend the bounded rational \u201dlevel-K reasoning\u201d model to apply to games over multiple stages. Our extension allows the decomposition of the overall modeling problem into a series of smaller ones, each of which can be solved by standard reinforcement learning algorithms. We call this hybrid approach \u201dlevel-K reinforcement learning\u201d. We investigate these ideas in a cyber battle scenario over a smart power grid and discuss the relationship between the behavior predicted by our model and what one might expect of real human defenders and attackers.<\/p>\n","protected":false},"excerpt":{"rendered":"
This chapter introduces a novel framework for modeling interacting humans in a multi-stage game. This \u201diterated semi network-form game\u201d framework has the following desirable characteristics: (1) Bounded rational players, (2) strategic players (i.e., players account for one another\u2019s reward functions when predicting one another\u2019s behavior), and (3) computational tractability even on real-world systems. We achieve […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Springer","msr_publisher_other":"","msr_booktitle":"Decision Making and Imperfection","msr_chapter":"4","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"978-3-642-36406-8","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"","msr_page_range_start":"101","msr_page_range_end":"128","msr_series":"","msr_volume":"474","msr_copyright":"\u00a9 Springer-Verlag Berlin Heidelberg 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