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Martha Osegueda Escobar - One of the best experts on this subject based on the ideXlab platform.
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fuzzy inspired hierarchical version of the von neumann Morgenstern solutions as a natural way to resolve collaboration related conflicts
Systems Man and Cybernetics, 2016Co-Authors: Olga Kosheleva, Vladik Kreinovich, Martha Osegueda EscobarAbstract:In situations when several participants collaborate with each other, it is desirable to come up with a fair way to divide the resulting gain between the participants. Such a fair way was proposed by John von Neumann and Oscar Morgenstern, fathers of the modern game theory. However, in some situations, the von Neumann-Morgenstern solution does not exist. To cover such situations, we propose to use a fuzzy-inspired hierarchical version of the von Neumann-Morgenstern (NM) solution. We prove that, in contrast to the original NM solution, the hierarchical version always exists.
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SMC - Fuzzy-inspired hierarchical version of the von Neumann-Morgenstern solutions as a natural way to resolve collaboration-related conflicts
2016 IEEE International Conference on Systems Man and Cybernetics (SMC), 2016Co-Authors: Olga Kosheleva, Vladik Kreinovich, Martha Osegueda EscobarAbstract:In situations when several participants collaborate with each other, it is desirable to come up with a fair way to divide the resulting gain between the participants. Such a fair way was proposed by John von Neumann and Oscar Morgenstern, fathers of the modern game theory. However, in some situations, the von Neumann-Morgenstern solution does not exist. To cover such situations, we propose to use a fuzzy-inspired hierarchical version of the von Neumann-Morgenstern (NM) solution. We prove that, in contrast to the original NM solution, the hierarchical version always exists.
Robert Leonard - One of the best experts on this subject based on the ideXlab platform.
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the collapse of interwar vienna oskar Morgenstern s community 1925 50
History of Political Economy, 2011Co-Authors: Robert LeonardAbstract:From the perspective of science, art and intellectual life in general, Interwar Vienna was one of the most vibrant communities in modern European history. Within the field of economics, it was home to, amongst others, Ludwig von Mises, Friedrich von Hayek, Hans Mayer, Gottfried Haberler, Fritz Machlup, Oskar Morgenstern, Karl Menger and Abraham Wald. The community flourished after the end of World War I, and then began to suffer in the early 1930’s as a result of growing political instability and rising anti-semitism. With the Anschluss of Austria by the Third Reich in March 1938, it collapsed completely, never to recover. Drawing on the personal papers of two key participants, Oskar Morgenstern and Karl Menger, and also on the archives of the Rockefeller Foundation, this paper provides a portrait of that community, chronicling its evolution and dramatic collapse. Particular attention is paid to the milieu surrounding Morgenstern, both as director of the Rockefeller-funded Austrian Institute for Business Cycle Research and as philosophical “dissident”. In collaborating with mathematicians Menger, Wald and, later, John von Neumann, he gradually forsook his Austrian theoretical legacy. The account detailed here shows conflict and tension to have been central to both the life and death of this fabled community.
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The Collapse of Interwar Vienna: Oskar Morgenstern's Community, 1925–50
History of Political Economy, 2011Co-Authors: Robert LeonardAbstract:From the perspective of science, art and intellectual life in general, Interwar Vienna was one of the most vibrant communities in modern European history. Within the field of economics, it was home to, amongst others, Ludwig von Mises, Friedrich von Hayek, Hans Mayer, Gottfried Haberler, Fritz Machlup, Oskar Morgenstern, Karl Menger and Abraham Wald. The community flourished after the end of World War I, and then began to suffer in the early 1930’s as a result of growing political instability and rising anti-semitism. With the Anschluss of Austria by the Third Reich in March 1938, it collapsed completely, never to recover. Drawing on the personal papers of two key participants, Oskar Morgenstern and Karl Menger, and also on the archives of the Rockefeller Foundation, this paper provides a portrait of that community, chronicling its evolution and dramatic collapse. Particular attention is paid to the milieu surrounding Morgenstern, both as director of the Rockefeller-funded Austrian Institute for Business Cycle Research and as philosophical “dissident”. In collaborating with mathematicians Menger, Wald and, later, John von Neumann, he gradually forsook his Austrian theoretical legacy. The account detailed here shows conflict and tension to have been central to both the life and death of this fabled community.
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Von Neumann, Morgenstern, and the Creation of Game Theory: From Chess to Social Science, 1900-1960
2010Co-Authors: Robert LeonardAbstract:Introduction Part I. Struggle and Equilibrium: From Lasker to von Neumann: 1. 'The strangest states of mind': chess, psychology and Emanuel Lasker's Kampf 2. 'Deeply rooted yet alien': Hungarian Jews and mathematicians 3. From Budapest to Gottingen: an apprenticeship in modern mathematics 4. 'The futile search for the perfect formula': von Neumann's minimax theorem Part II. Oskar Morgenstern and Interwar Vienna: 5. Equilibrium on trial: the young Morgenstern and the Austrian school 6. Wrestling with complexity: Wirtschaftsprognose and beyond 7. Ethics and the excluded middle: Karl Menger and social science 8. From Austroliberalism to Anschluss: the Viennese economists in the 1930s Part III. From War to Cold War: 9. Mathematics and the social order: von Neumann's return to game theory 10. Ars combinatoria: writing the theory of games 11. Morgenstern's catharsis 12. Von Neumann's war 13. Social science and the 'present danger': game theory and psychology at the RAND Corporation, 1946-60 Conclusion.
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Von Neumann, Morgenstern, and the Creation of Game Theory
Von Neumann Morgenstern and the Creation of Game Theory, 1Co-Authors: Robert LeonardAbstract:Drawing on a wealth of archival material, including personal correspondence and diaries, Robert Leonard tells the fascinating story of the creation of game theory by Hungarian Jewish mathematician John von Neumann and Austrian economist Oskar Morgenstern. Game theory first emerged amid discussions of the psychology and mathematics of chess in Germany and fin-de-siA¨cle Austro-Hungary. In the 1930s, on the cusp of anti-Semitism and political upheaval, it was developed by von Neumann into an ambitious theory of social organization. It was shaped still further by its use in combat analysis in World War II and during the Cold War. Interweaving accounts of the period's economics, science, and mathematics, and drawing sensitively on the private lives of von Neumann and Morgenstern, Robert Leonard provides a detailed reconstruction of a complex historical drama.
P. Yageen Thomas - One of the best experts on this subject based on the ideXlab platform.
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Estimation of parameter of Morgenstern type bivariate exponential distribution using concomitants of order statistics
Statistical Methodology, 2011Co-Authors: Manoj Chacko, P. Yageen ThomasAbstract:Abstract In this paper we have considered concomitants of order statistics arising from Morgenstern type bivariate exponential distribution and their applications in estimating the unknown parameter involved in the distribution. We have obtained the best linear unbiased estimator of a parameter involved in Morgenstern type bivariate exponential distribution using both complete and censored samples.
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Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation
Metrika, 2006Co-Authors: Manoj Chacko, P. Yageen ThomasAbstract:In this paper we have obtained the joint probability density function of concomitants of two record values and hence obtained an explicit expression for the product moment of concomitants of two record values arising from Morgenstern family of distributions. Appling this expression for the product moments of concomitants of record values we have derived the best linear unbiased estimators based on concomitants of record values of some parameters involved in Morgenstern type bivariate logistic distribution which is a subfamily of the Morgenstern family of distributions. The efficiencies of these estimators based on the first n concomitants of record values for n≤10 are also obtained.
Manoj Chacko - One of the best experts on this subject based on the ideXlab platform.
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Concomitants of k-record values arising from Morgenstern family of distributions and their applications in parameter estimation
Statistical Papers, 2011Co-Authors: Manoj Chacko, M. Shy MaryAbstract:In this paper, we have obtained the marginal and joint distributions of concomitants of k-record values for the Morgenstern family of distributions (MFD) and hence obtained the moments and product moments of concomitants of k-record values. Applying this results we have derived the best linear unbiased estimators of some parameters involved in Morgenstern type bivariate logistic distribution which belongs to MFD based on concomitants of k-record values.
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Estimation of parameter of Morgenstern type bivariate exponential distribution using concomitants of order statistics
Statistical Methodology, 2011Co-Authors: Manoj Chacko, P. Yageen ThomasAbstract:Abstract In this paper we have considered concomitants of order statistics arising from Morgenstern type bivariate exponential distribution and their applications in estimating the unknown parameter involved in the distribution. We have obtained the best linear unbiased estimator of a parameter involved in Morgenstern type bivariate exponential distribution using both complete and censored samples.
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Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation
Metrika, 2006Co-Authors: Manoj Chacko, P. Yageen ThomasAbstract:In this paper we have obtained the joint probability density function of concomitants of two record values and hence obtained an explicit expression for the product moment of concomitants of two record values arising from Morgenstern family of distributions. Appling this expression for the product moments of concomitants of record values we have derived the best linear unbiased estimators based on concomitants of record values of some parameters involved in Morgenstern type bivariate logistic distribution which is a subfamily of the Morgenstern family of distributions. The efficiencies of these estimators based on the first n concomitants of record values for n≤10 are also obtained.
Olga Kosheleva - One of the best experts on this subject based on the ideXlab platform.
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fuzzy inspired hierarchical version of the von neumann Morgenstern solutions as a natural way to resolve collaboration related conflicts
Systems Man and Cybernetics, 2016Co-Authors: Olga Kosheleva, Vladik Kreinovich, Martha Osegueda EscobarAbstract:In situations when several participants collaborate with each other, it is desirable to come up with a fair way to divide the resulting gain between the participants. Such a fair way was proposed by John von Neumann and Oscar Morgenstern, fathers of the modern game theory. However, in some situations, the von Neumann-Morgenstern solution does not exist. To cover such situations, we propose to use a fuzzy-inspired hierarchical version of the von Neumann-Morgenstern (NM) solution. We prove that, in contrast to the original NM solution, the hierarchical version always exists.
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SMC - Fuzzy-inspired hierarchical version of the von Neumann-Morgenstern solutions as a natural way to resolve collaboration-related conflicts
2016 IEEE International Conference on Systems Man and Cybernetics (SMC), 2016Co-Authors: Olga Kosheleva, Vladik Kreinovich, Martha Osegueda EscobarAbstract:In situations when several participants collaborate with each other, it is desirable to come up with a fair way to divide the resulting gain between the participants. Such a fair way was proposed by John von Neumann and Oscar Morgenstern, fathers of the modern game theory. However, in some situations, the von Neumann-Morgenstern solution does not exist. To cover such situations, we propose to use a fuzzy-inspired hierarchical version of the von Neumann-Morgenstern (NM) solution. We prove that, in contrast to the original NM solution, the hierarchical version always exists.