On Quantum Probability Calculus for Modeling Economic Decisions

2018 ◽  
pp. 18-34 ◽  
Author(s):  
Hung T. Nguyen ◽  
Songsak Sriboonchitta ◽  
Nguyen Ngoc Thach
Keyword(s):  
Quantum Probability ◽  
Probability Calculus ◽  
Economic Decisions

Quantum Probability Calculus as Fuzzy-Kolmogorovian Probability Calculus

2009 ◽  
Author(s):  
Jarosław Pykacz ◽  
Luigi Accardi ◽  
Guillaume Adenier ◽  
Christopher Fuchs ◽  
Gregg Jaeger ◽  
...  
Keyword(s):  
Quantum Probability ◽  
Probability Calculus

HILBERT SPACE OVER COMPLEX HYPERBOLIC NUMBERS AND HYPER-TRIGONOMETRIC INTERFERENCE

2009 ◽  
Vol 12 (03) ◽  
pp. 469-478
Author(s):  
A. KHRENNIKOV
Keyword(s):  
Hilbert Space ◽  
Quantum Probability ◽  
Complex Hilbert Space ◽  
Hyperbolic Numbers ◽  
Probability Calculus ◽  
Interference Of Probabilities

This note is devoted to extension of quantum probability calculus to generalizations of complex Hilbert space. Starting with Hilbert space over complex hyperbolic numbers, we derive general hyper-trigonometric interference of probabilities.

The quantum probability calculus

Synthese ◽  
1974 ◽  
Vol 29 (1-4) ◽  
pp. 131-154 ◽  
Author(s):  
J. M. Jauch
Keyword(s):  
Quantum Probability ◽  
Probability Calculus

BELL-TYPE INEQUALITIES IN FUZZY PROBABILITY CALCULUS

2001 ◽  
Vol 09 (02) ◽  
pp. 263-275 ◽  
Author(s):  
JAROSŁAW PYKACZ ◽  
BART D'HOOGHE
Keyword(s):  
Fuzzy Set ◽  
Mathematical Physics ◽  
Quantum Probability ◽  
Physical Situation ◽  
Fuzzy Probability ◽  
Probability Models ◽  
Triangular Norms ◽  
Probability Calculus ◽  
Standard Set ◽  
Fuzzy Probabilities

Bell-type inequalities, used in mathematical physics as a criterion to check whether a physical situation allows description in terms of classical (Kolmogorovian) or quantum probability calculus are applied to various fuzzy probability models. It occurs that the standard set of Bell-type inequalities does not allow to distinguish Kolmogorovian probabilities from fuzzy probabilities based on the most frequently used Zadeh intersection or probabilistic intersection, but it allows to distinguish all these models from fuzzy probability models based on Giles (Łukasiewicz) intersection. It is proved that if we use fuzzy set intersections pointwisely generated by Frank's fundamental triangular norms Ts(x,y), then the borderline between fuzzy probability models that can be distinguished from Kolmogorovian ones and these fuzzy probability models that cannot be distinguished is for [Formula: see text].

An Invitation to Quantum Probability Calculus

2020 ◽  
pp. 121-140
Author(s):  
Hung T. Nguyen ◽  
Nguyen Duc Trung ◽  
Nguyen Ngoc Thach
Keyword(s):  
Quantum Probability ◽  
Probability Calculus

Call for Papers: “Consumer Behavior and Economic Decisions”

2009 ◽  
Vol 217 (4) ◽  
pp. 240-240
Author(s):  
Erich Kirchler ◽  
Erik Hölzl
Keyword(s):  
Consumer Behavior ◽  
Economic Decisions

Rational Expectations and Inflation

2017 ◽  
Author(s):  
Thomas J. Sargent
Keyword(s):  
World War I ◽  
French Revolution ◽  
Rational Expectations ◽  
Ronald Reagan ◽  
Fiscal Policies ◽  
Economic Policies ◽  
Budget Deficits ◽  
Nobel Lecture ◽  
Economic Decisions ◽  
The French Revolution

This collection of essays uses the lens of rational expectations theory to examine how governments anticipate and plan for inflation, and provides insight into the pioneering research for which the author was awarded the 2011 Nobel Prize in economics. Rational expectations theory is based on the simple premise that people will use all the information available to them in making economic decisions, yet applying the theory to macroeconomics and econometrics is technically demanding. This book engages with practical problems in economics in a less formal, noneconometric way, demonstrating how rational expectations can satisfactorily interpret a range of historical and contemporary events. It focuses on periods of actual or threatened depreciation in the value of a nation's currency. Drawing on historical attempts to counter inflation, from the French Revolution and the aftermath of World War I to the economic policies of Margaret Thatcher and Ronald Reagan, the book finds that there is no purely monetary cure for inflation; rather, monetary and fiscal policies must be coordinated. This fully expanded edition includes the author's 2011 Nobel lecture, “United States Then, Europe Now.” It also features new articles on the macroeconomics of the French Revolution and government budget deficits.

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