lnu.sePublications
Change search
Refine search result
1 - 4 of 4
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Rows per page
  • 5
  • 10
  • 20
  • 50
  • 100
  • 250
Sort
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
Select
The maximal number of hits you can export is 250. When you want to export more records please use the Create feeds function.
  • 1.
    Basieva, Irina
    et al.
    City Univ London, UK.
    Khrennikova, Polina
    Univ Leicester, UK.
    Pothos, Emmanuel M.
    City Univ London, UK.
    Asano, Masanari
    Natl Inst Technol, Japan.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics. Natl Res Univ Informat Technol Mech & Opt, Russia.
    Quantum-like model of subjective expected utility2018In: Journal of Mathematical Economics, ISSN 0304-4068, E-ISSN 1873-1538, Vol. 78, p. 150-162Article in journal (Refereed)
    Abstract [en]

    We present a very general quantum-like model of lottery selection based on representation of beliefs of an agent by pure quantum states. Subjective probabilities are mathematically realized in the framework of quantum probability (QP). Utility functions are borrowed from the classical decision theory. But in the model they are represented not only by their values. Heuristically one can say that each value ui u(x(i)) is surrounded by a cloud of information related to the event (A, x(i)). An agent processes this information by using the rules of quantum information and QP. This process is very complex; it combines counterfactual reasoning for comparison between preferences for different outcomes of lotteries which are in general complementary. These comparisons induce interference type effects (constructive or destructive). The decision process is mathematically represented by the comparison operator and the outcome of this process is determined by the sign of the value of corresponding quadratic form on the belief state. This operational process can be decomposed into a few subprocesses. Each of them can be formally treated as a comparison of subjective expected utilities and interference factors (the latter express, in particular, risks related to lottery selection). The main aim of this paper is to analyze the mathematical structure of these processes in the most general situation: representation of lotteries by noncommuting operators. (C) 2018 Elsevier B.V. All rights reserved.

  • 2.
    Giebe, Thomas
    TU Berlin, Germany.
    Innovation contests with entry auction2014In: Journal of Mathematical Economics, ISSN 0304-4068, E-ISSN 1873-1538, Vol. 55, p. 165-176Article in journal (Refereed)
    Abstract [en]

    We consider innovation contests for the procurement of an innovation under moral hazard and adverse selection. Innovators have private information about their abilities, and choose unobservable effort in order to produce innovations of random quality. Innovation quality is not contractible. We compare two procurement mechanisms—a fixed prize and a first-price auction. Before the contest, a fixed number of innovators is selected in an entry auction, in order to address the adverse selection problem. We find that–if effort and ability are perfect substitutes–both mechanisms implement the same innovations in symmetric pure-strategy equilibrium, regardless of whether the innovators’ private information is revealed or not. These equilibria are efficient if the procurer is a welfare-maximizer.

  • 3.
    Haven, Emmanuel
    et al.
    Mem Univ, Canada.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Ma, Chenghu
    Fudan Univ, Peoples Republic of China.
    Sozzo, Sandro
    Univ Leicester, UK.
    Introduction to quantum probability theory and its economic applications2018In: Journal of Mathematical Economics, ISSN 0304-4068, E-ISSN 1873-1538, Vol. 78, p. 127-130Article in journal (Other academic)
  • 4.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics. Int Ctr Math Modeling Phys Engn Econ & Cognit Sci.
    Quantum version of Aumann's approach to common knowledge: Sufficient conditions of impossibility to agree on disagree2015In: Journal of Mathematical Economics, ISSN 0304-4068, E-ISSN 1873-1538, Vol. 60, p. 89-104Article in journal (Refereed)
    Abstract [en]

    Aumann's theorem states that if two agents with classical processing of information (and, in particular, the Bayesian update of probabilities) have the common priors, and their posteriors for a given event E are common knowledge, then their posteriors must be equal; agents with the same priors cannot agree to disagree. This theorem is of the fundamental value for theory of information and knowledge and it has numerous applications in economics and social science. Recently a quantum-like version of such theory was presented in Khrennikov and Basieva (2014b), where it was shown that, for agents with quantum information processing (and, in particular, the quantum update of probabilities), in general Aumann's theorem is not valid. In this paper we present conditions on the inter-relations of the information representations of agents, their common prior state, and an event which imply validity of Aumann's theorem. Thus we analyze conditions implying the impossibility to agree on disagree even for quantum-like agents. Here we generalize the original Aumann approach to common knowledge to the quantum case (in Khrennikov and Basieva (2014b) we used the iterative operator approach due to Brandenburger and Dekel and Monderer and Samet). Examples of applicability and non-applicability of the derived sufficient conditions for validity of Aumann's theorem for quantum(-like) agents are presented. (C) 2015 Elsevier B.V. All rights reserved.

1 - 4 of 4
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf