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Depth of reasoning in strategic form games
Affiliation:1. Nara University, Japan;2. Department of Management and Policy, University of Arizona, McClelland Hall 405, Tucson, AZ 85721, USA;3. Hong Kong University of Science and Technology, Hongkong;1. Faculty of Economics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan;2. Department of Economics, National University of Singapore, AS2 Level 6, 1 Arts Link, Singapore 117570, Singapore;1. Department of Neurology, University of Lübeck, Lübeck, Germany;2. Institute of Psychology II, University of Lübeck, Lübeck, Germany;3. Department of Neurology, Westküstenklinikum Heide, Heide, Germany;1. RoboticsLab, Department of Industrial and Digital Innovation (DIID), Universitá degli Studi di Palermo, Palermo, Italy;2. Dipartimento di Scienze Umanistiche, Universitá degli Studi di Palermo, Palermo, Italy;3. Intelligent Robotics Laboratory, Graduate School of Engineering Science, Osaka University, Osaka, Japan;4. Hiroshi Ishiguro Laboratories, Advanced Telecommunications Research Institute International, Kyoto, Japan;5. ICAR-CNR, Palermo, Italy
Abstract:The depth of human reasoning in interactive decision-making situations can be assessed experimentally in dominance solvable non-cooperative games. We first review the studies employing two sorts of games—the Beauty Contest game and the Investment game. Studies employing these games show that: (i) people typically engage in relatively low levels of strategic reasoning; and (ii) there are individual differences in the depth of reasoning. There are other lines of research employing other types of games and definitions of the depth of reasoning that support the two conclusions above. We argue that these studies underestimate depth of reasoning because it is also necessary to apply a mental model about other players’ reasoning ability in order to play well. Implications of those findings to the theory-of-mind or Machiavellian Intelligence research are discussed.
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