A translation of information/memory conditions from extensive games to information protocols.

Cao, Thi Lan Vi (2011). A translation of information/memory conditions from extensive games to information protocols. Honours Thesis, School of Economics, The University of Queensland.

       
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Author Cao, Thi Lan Vi
Thesis Title A translation of information/memory conditions from extensive games to information protocols.
School, Centre or Institute School of Economics
Institution The University of Queensland
Publication date 2011
Thesis type Honours Thesis
Supervisor A/Prof Jeffrey Kline
Total pages 91
Language eng
Subjects 340000 Economics
Formatted abstract

Inductive Game Theory was introduced by Kaneko & Kline (2008) as a theory about the formation of individual knowledge from individual experiences of players with bounded rationality. It assumes that each player possesses certain memory ability (memory condition) and receives certain information (information condition), which allow him to record his experiences as short-term memories. This thesis translates some information/memory conditions in the literature, namely perfect information, perfect recall, occurrence memory and action memory, from their original extensive form to an information protocol. In our discussion of the transformation from extensive games to information protocols, we prove that Kuhn’s (1953) irreflexivity implies Kaneko-Kline’s (2008) K4 when K1−K3 are satisfied. In addition, we show that when occurrence memory is satisfied, the action memory condition given by Bonanno (2004) is equivalent to a stronger action memory condition that requires the individual to remember the order of his past actions.

Keyword Inductive game theory
Memory function
Perfect rationality
Bounded rationality
Information protocols

 
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Created: Tue, 28 Feb 2012, 11:03:25 EST by Carmen Mcnaught on behalf of School of Economics