TY - JOUR
T1 - Type indeterminacy
T2 - A model of the KT(Kahneman-Tversky)-man
AU - Lambert Mogiliansky, Ariane
AU - Zamir, Shmuel
AU - Zwirn, Hervé
PY - 2009/10
Y1 - 2009/10
N2 - In this paper, we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e., realized, and not merely revealed) only when the action takes place. An agent is described by a state that is a superposition of potential types (or preferences or behaviors). This superposed state is projected (or "collapses") onto one of the possible behaviors at the time of the interaction. In addition to the main goal of modeling uncertainty of preferences that is not due to lack of information, this formalism seems to be adequate to describe widely observed phenomena of non-commutativity in patterns of behavior. We explore some implications of our approach in a comparison between classical and type indeterminate rational choice behavior. The potential of the approach is illustrated in two examples.
AB - In this paper, we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e., realized, and not merely revealed) only when the action takes place. An agent is described by a state that is a superposition of potential types (or preferences or behaviors). This superposed state is projected (or "collapses") onto one of the possible behaviors at the time of the interaction. In addition to the main goal of modeling uncertainty of preferences that is not due to lack of information, this formalism seems to be adequate to describe widely observed phenomena of non-commutativity in patterns of behavior. We explore some implications of our approach in a comparison between classical and type indeterminate rational choice behavior. The potential of the approach is illustrated in two examples.
KW - Indeterminacy
KW - Non-commutativity
KW - Quantum state
UR - http://www.scopus.com/inward/record.url?scp=70350624787&partnerID=8YFLogxK
U2 - 10.1016/j.jmp.2009.01.001
DO - 10.1016/j.jmp.2009.01.001
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AN - SCOPUS:70350624787
SN - 0022-2496
VL - 53
SP - 349
EP - 361
JO - Journal of Mathematical Psychology
JF - Journal of Mathematical Psychology
IS - 5
ER -