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    Wyświetlanie 1-4 z 4
    Tytuł:
    The No-Spoiler Condition for Choice Correspondences
    Autorzy:
    Lahiri, Somdeb
    Powiązania:
    https://bibliotekanauki.pl/articles/578528.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Ekonomiczny w Katowicach
    Tematy:
    Kryterium Pareto
    Choice correspondence
    Pareto criterion
    Opis:
    We show that any choice correspondence which satisfies the weak Pareto criterion and the Majority property must violate the no-spoiler condition. Subsequently we strengthen the weak Pareto criterion. We show that if the number of criteria or individuals or states of nature is odd, then there is no choice correspondence which satisfies this strengthened version of weak Pareto criteria, Majority property and no-loser spoiler condition. However if the number of criteria/individuals/states of nature is even, we need two more properties to ensure the impossibility result. The first of these two properties is top neutrality. The second property is top anonymity.
    Źródło:
    Multiple Criteria Decision Making; 2019, 14; 60-74
    2084-1531
    Pojawia się w:
    Multiple Criteria Decision Making
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Axiomatic characterizations of probabilistic max-min extended Coice Correspondence
    Autorzy:
    Lahiri, Somdeb
    Powiązania:
    https://bibliotekanauki.pl/articles/2216201.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Ekonomiczny w Katowicach
    Tematy:
    state-dependent preferences
    extended choice correspondence
    Opis:
    In this paper we provide two axiomatic characterizations of the probabilistic max-min extended choice correspondence support, for a decision maker who has state-dependent preferences (represented by a linear order) over the set of alternatives and a (subjective) probability vector over states of nature, where both preferences and probability vectors are variable.
    Źródło:
    Multiple Criteria Decision Making; 2022, 17; 87-101
    2084-1531
    Pojawia się w:
    Multiple Criteria Decision Making
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extended choice functionals – a cardinal framework for the analysis of choice under risk
    Autorzy:
    Lahiri, Somdeb
    Powiązania:
    https://bibliotekanauki.pl/articles/2027761.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Ekonomiczny w Katowicach
    Tematy:
    Extended choice functionals
    Risk
    State-dependent evaluation
    Opis:
    We propose a framework that extends the one developed by Professor Amartya Sen (with Arrowian roots), for the analysis of choice under risk by an individual, hereafter referred to as a decision maker. The framework is based on the decision maker’s state dependent numerical evaluations − referred to as utility, worth, or pay-off − of the alternatives. We provide several examples to illustrate meaningful possibilities in the model proposed here. The expected utility choice functional assigns to each given state- -dependent data profile (i.e., a pair consisting of a profile of state-dependent evaluation functions and a probability distribution over states of nature) the non-empty set of alternatives obtained by maximizing expected utility. A significant result in this paper, which illustrates the workability of our frameworks of analysis, is an axiomatic characterization of the expected utility choice functional using purely combinatorial techniques. Aim/Purpose: To use a minor extension of the Arrow-Sen model of social choice theory to study individual decision making/aiding under risk and with state dependent evaluation functions. Methodology: Combinatorics (theory of finite sets). Findings: Plausible decision-aids for decision making under uncertainty with state dependent evaluation functions. Research Implications: Exactly same model and results apply for the study of “weighted” multi-criteria decision making/aiding with state dependent evaluation functions. Contribution: Apart from useful decision-aids for managerial decision making under risk and operations research, we provide an axiomatic characterization of the expected utility choice functional.
    Źródło:
    Multiple Criteria Decision Making; 2020, 15; 66-78
    2084-1531
    Pojawia się w:
    Multiple Criteria Decision Making
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ascending Probabilistic Max-min Extended Choice Correspondence
    Autorzy:
    Lahiri, Somdeb
    Powiązania:
    https://bibliotekanauki.pl/articles/11542158.pdf
    Data publikacji:
    2023-08-30
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    decision-making under risk
    state-dependent preferences
    extended choice correspondences
    ascending probabilistic max-min
    Opis:
    In this paper, we provide an axiomatic characterization of the ascending probabilistic max-min extended choice correspondence for a decision-maker who has state-dependent preferences (represented by a linear order) over a set of alternatives and a (subjective) probability vector over states of nature, where both the preferences and probability vectors are variable. Further on the domain of all extended preference profiles for which the Ascending Probabilistic Max-Min Extended Choice Correspondence is resolute, the same choice correspondence is completely characterized by just two of the three axioms that are required for the axiomatic characterization on the more general domain. A significant feature of our solution concept and the related axiomatic analysis is that we use no more information than the probability with which each alternative realizes each rank.
    Źródło:
    Przegląd Statystyczny; 2023, 70, 1; 1-12
    0033-2372
    Pojawia się w:
    Przegląd Statystyczny
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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