Emergence and Instability of Individual Identity

The Type Indeterminacy model is a theoretical framework that uses some elements of quantum formalism to model the constructive preference perspective suggested by Kahneman and Tversky. In a dynamic decision context, type indeterminacy provides a framework for investigating the emergence and evolution of identity as the outcome of the interaction between multiple potential selves (eigentypes). We define a dynamic game among the selves with individual identity (preferences) as the state variable. In the Markov perfect equililibrium of the game, identity arises as "a relational property" that does not pre-exist the decision context. The approach allows to characterize generic personality types and derive some comparitive static results.

[1]  Ariane Lambert-Mogiliansky,et al.  Type indeterminacy - A Model of the KT(Khaneman Tversky)- Man , 2009 .

[2]  R. H. Strotz Myopia and Inconsistency in Dynamic Utility Maximization , 1955 .

[3]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure , 2010 .

[4]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure: From Psychology to Finance , 2010 .

[5]  V. I. Danilov,et al.  Expected utility theory under non-classical uncertainty , 2010 .

[6]  Eric Maskin,et al.  Markov Perfect Equilibrium: I. Observable Actions , 2001, J. Econ. Theory.

[7]  Jean Tirole,et al.  Willpower and Personal Rules , 2002, Journal of Political Economy.

[8]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[9]  Shmuel Zamir,et al.  Type Indeterminacy: A Model for the KT(Kahneman-Tversky)-Man , 2006, physics/0604166.

[10]  Pierfrancesco La Mura Correlated Equilibria of Classical Strategic Games with Quantum Signals , 2003, ArXiv.

[11]  Vladimir I. Danilov,et al.  Measurable systems and behavioral sciences , 2008, Math. Soc. Sci..

[12]  J. Tirole,et al.  Identity, morals, and taboos: beliefs as assets. , 2011, The quarterly journal of economics.

[13]  D. Fudenberg,et al.  A Dual Self Model of Impulse Control , 2004, The American economic review.

[14]  D. Bem Self-Perception Theory , 1972 .

[15]  B. Peleg,et al.  On the Existence of a Consistent Course of Action when Tastes are Changing , 1973 .

[16]  Faruk Gul,et al.  Temptation and Self‐Control , 1999 .

[17]  Jerome R. Busemeyer,et al.  An Exploration of Type Indeterminacy in Strategic Decision-Making , 2009, QI.

[18]  Faruk Gul,et al.  SELF-CONTROL AND THE THEORY OF CONSUMPTION , 1999 .

[19]  James T. Townsend,et al.  Quantum dynamics of human decision-making , 2006 .

[20]  Riccardo Franco,et al.  The conjunction fallacy and interference effects , 2007, 0708.3948.

[21]  G. Ainslie Breakdown of will , 2001 .

[22]  David Deutsch Quantum theory of probability and decisions , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.