17 research outputs found
How brains make decisions
This chapter, dedicated to the memory of Mino Freund, summarizes the Quantum
Decision Theory (QDT) that we have developed in a series of publications since
2008. We formulate a general mathematical scheme of how decisions are taken,
using the point of view of psychological and cognitive sciences, without
touching physiological aspects. The basic principles of how intelligence acts
are discussed. The human brain processes involved in decisions are argued to be
principally different from straightforward computer operations. The difference
lies in the conscious-subconscious duality of the decision making process and
the role of emotions that compete with utility optimization. The most general
approach for characterizing the process of decision making, taking into account
the conscious-subconscious duality, uses the framework of functional analysis
in Hilbert spaces, similarly to that used in the quantum theory of
measurements. This does not imply that the brain is a quantum system, but just
allows for the simplest and most general extension of classical decision
theory. The resulting theory of quantum decision making, based on the rules of
quantum measurements, solves all paradoxes of classical decision making,
allowing for quantitative predictions that are in excellent agreement with
experiments. Finally, we provide a novel application by comparing the
predictions of QDT with experiments on the prisoner dilemma game. The developed
theory can serve as a guide for creating artificial intelligence acting by
quantum rules.Comment: Latex file, 20 pages, 3 figure
Quantum decision making by social agents
The influence of additional information on the decision making of agents, who
are interacting members of a society, is analyzed within the mathematical
framework based on the use of quantum probabilities. The introduction of social
interactions, which influence the decisions of individual agents, leads to a
generalization of the quantum decision theory developed earlier by the authors
for separate individuals. The generalized approach is free of the standard
paradoxes of classical decision theory. This approach also explains the
error-attenuation effects observed for the paradoxes occurring when decision
makers, who are members of a society, consult with each other, increasing in
this way the available mutual information. A precise correspondence between
quantum decision theory and classical utility theory is formulated via the
introduction of an intermediate probabilistic version of utility theory of a
novel form, which obeys the requirement that zero-utility prospects should have
zero probability weights.Comment: This paper has been withdrawn by the authors because a much extended
and improved version has been submitted as arXiv:1510.02686 under the new
title "Role of information in decision making of social agents
Processing Information in Quantum Decision Theory
A survey is given summarizing the state of the art of describing information
processing in Quantum Decision Theory, which has been recently advanced as a
novel variant of decision making, based on the mathematical theory of separable
Hilbert spaces. This mathematical structure captures the effect of
superposition of composite prospects, including many incorporated intended
actions. The theory characterizes entangled decision making, non-commutativity
of subsequent decisions, and intention interference. The self-consistent
procedure of decision making, in the frame of the quantum decision theory,
takes into account both the available objective information as well as
subjective contextual effects. This quantum approach avoids any paradox typical
of classical decision theory. Conditional maximization of entropy, equivalent
to the minimization of an information functional, makes it possible to connect
the quantum and classical decision theories, showing that the latter is the
limit of the former under vanishing interference terms.Comment: Review article, 49 pages, Latex fil
Evolutionary Processes in Quantum Decision Theory
The review presents the basics of quantum decision theory, with the emphasis
on temporary processes in decision making. The aim is to explain the principal
points of the theory. The difference of an operationally testable rational
choice between alternatives from a choice decorated by irrational feelings is
elucidated. Quantum-classical correspondence is emphasized. A model of quantum
intelligence network is described. Dynamic inconsistencies are shown to be
resolved in the frame of the quantum decision theory.Comment: Latex file, 39 page