| 研究実績の概要 |
The last year of my research period was mainly devoted to a new operation on extensive forms, which clarifies the notion of the chronological order of a play.
For the first issue, an operation called compactification is introduced to reduce an extensive form to a compact one which allows simultaneous moves. It attempts to faithfully capture the chronological order of the moves in a dynamic situation, which is not the “real” order of moves but whether new information is available. The salient difference of this operation from the traditional compactifications originating from Thompson (1952) is the preservation of unambiguity of the order among information sets. Well-ordered information sets were considered to be essential by von Neumann and Morgenstern (1944). They had long been ignored since Kuhn’s (1953) re-formulation of extensive forms until recent experimental evidences suggest their critical role in dynamic decision making (e.g., Weber-Camerer-Knez 2004). Preserving an unambiguous order is especially vital for reasoning in dynamic situations; indeed, behavior changes when people perceive the once well-ordered move order was significantly disrupted. This insight is illustrated by that our compactification eliminates the influence of multiple standard extensive form representations on belief in the opponents’ future rationality (Perea 2014). These results are contained in my paper “Compactification of Extensive Forms and Belief in the Opponents’ Future Rationality” which is now under the revise-resubmit process of International Journal of Game Theory.
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