Estratégias discretas em teoria dos jogos

Detalhes bibliográficos
Ano de defesa: 2014
Autor(a) principal: Sobrinho, Carlos Alberto Silva
Orientador(a): Cruz, José Yunier Bello lattes
Banca de defesa: Cruz, José Yunier Bello, Sandoval, Wilfredo Sosa, Baumann, Luis Rodrigo Fernandes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Matemática (IME)
Departamento: Instituto de Matemática e Estatística - IME (RG)
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tde/2958
Resumo: In this work we have exposure to some elements of game theory and certain resolution procedures games using matrices, probability and especially optimization, ie, we optimize the moves with mathematical background. For this we will use a Theorem, two Propositions and discuss several examples to game theory, applying what we are working and show how one can proceed in several games so that the reader can understand and use such a theory. The objective is to disseminate the ideas of game theory, which has applications in several areas, including economy and military art.
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spelling Cruz, José Yunier Bellohttp://lattes.cnpq.br/8377200040018415Cruz, José Yunier BelloSandoval, Wilfredo SosaBaumann, Luis Rodrigo FernandesSobrinho, Carlos Alberto Silva2014-08-28T20:37:21Z2014-08-282014-04-11Sobrinho, Carlos Alberto Silva - Estratégias discretas em teoria dos jogos - 2014 - 51 f. - Dissertação - Programa de Pós-graduação em Matemática (IME) - Universidade Federal de Goiás - Goiânia - Goiás - Brasil.http://repositorio.bc.ufg.br/tede/handle/tde/2958In this work we have exposure to some elements of game theory and certain resolution procedures games using matrices, probability and especially optimization, ie, we optimize the moves with mathematical background. For this we will use a Theorem, two Propositions and discuss several examples to game theory, applying what we are working and show how one can proceed in several games so that the reader can understand and use such a theory. The objective is to disseminate the ideas of game theory, which has applications in several areas, including economy and military art.Neste trabalho teremos a exposição de alguns elementos da Teoria dos Jogos e certos procedimentos de resolução de jogos usando matrizes, probabilidade e principalmente otimização, ou seja, vamos otimizar as jogadas com embasamento matemático. Para tal usaremos um Teorema, duas Proposi ções e vários exemplos para discorrer sobre a Teoria dos Jogos, aplicando o que estamos trabalhando e mostrar como se pode proceder em vários jogos para que o leitor possa compreender e usar tal teoria. O objetivo deste trabalho é divulgar as ideias da Teoria dos Jogos, as quais tem aplicação em várias áreas, entre elas economia e arte militar.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/6794/TCC%20-%20Carlos.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)Axelrod, R. The Evolution of Cooperation. Basic Books, Michigan (1984). Benjamin, A. T., Goldman, A. J. Analysis of N-Card le Her. Jounal of Optimization Theory and Applications, 114, (2002), 695-704. Casti, J. L.Cinco Regras de Ouro. Editora Saraiva, Brasil (1999). Cournot, A. A. Exposition de la Théorie dos Chances et des Probalités. Hachette, Paris (1843). Dantzig, G. B. A proof of the equivalence of de programming problem and the game problem. In T. C. Koopmans ed., Activity Analysis of Production and Allocation, John Wiley (1951), 330 - 338. Dantzig, G. B. Maximization of a linear function subject to linear inequalities. In T. C. Koopmans ed., Activity Analysis of Production and Allocation, John Wiley & Sons, New York (1951). Davis, M. D. Game Theory: A Nontechnical Introduction. Dover Publications (1997). Fiani, R. Teoria dos Jogos com aplicações em Economia, Administração e Ciências Sociais. Elsevier, Rio de Janeiro (2009). Gale, D., Kuhn, H. W., Tucker, A. W. Linear programming and the theory of games. In T. C. Koopmans (ed.), Activity Analysis of Pro- duction and Allocation, John Wiley & Sons, New York (1951), 317 - 329. Green, L., Myerson, J., Ostaszewski, P. Amount of reward has opposite e_ects on the discouting of delayed and probabilistis out cones. Jour- nal of Experimental Psychology: Leaming Memory, and cognition, 25, (1999), 418-427. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts I, Management Science,14, (1967), 159-182. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts II, Management Science, 14, (1967), 320-334. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts III, Management Science, 14, (1967), 486-502. Jones, A. J. Game theory: Mathematical Models of Con_ict. Ellis Horwood (1980). Luce, R. D. & Rai_a, H. Games and Decisions. Wiley (1957). Morrow, J. D. Game Theory for Political Scientist. Princeton, NJ, Princeton University Press (1944). Nasar, S. Uma Mente Brilhante. Record (2003). Nash, J. F. Equilibrium Points in n-Person Games. Princeton University Press (1949). Nash, J. F. Non-cooperative Games. Annals of Mathematics, 54 (1951), 286-295. Nash, J. F. The Bargaining Problem. Econometria,18, Issue, Princeton University Press (1950), 155-162. Nash, J. F. Two-Penson Cooperative Games. U.S, Air Force project Rand (1950). Neumann, J. v. Zur Theorie del Gesellschaftsspiele. Mathematische Annalen 100, Hungria (1928), 295-320. Neumann, J. v., Mongestern, O. Theory of Games and Economic Behaviour. Princeton University Press (1944). Rapoport, A. Lutas, Jogos e Debates. Brasília: Editora Universidade de Brasília (1980), 325. Schelling, T. C. The Strategy of Con_ict. Harvard University Press (1980). Selten, R. Spieltheoretische Behandlung eines Oligopolmodells mit Nachfragetragheit. Zeitschrift fur die gesamte Staatswissenschaft 121, Alemanha (1965), 301-324 e 667-689. Shubik, M. Game Theory in the Social Sciences. MIT Press (1982). Silva, A R. Apresenta textos detalhados sobre a Teoria dos Jogos. Disponível em: <http://geocities.yahoo.com.br/discursus/tjcf/11tjcfc.html>. Acesso em 20 fev. 2013. Thomas, L. C. Games, Theory and Applications. Dover Publications (2003). Tversty, A. Preference, Belist, and Similanty:Selected Writing. [S.I]: MIT Press (2004). Vorob'ev, N. N. Game Theory, Lectures of Economists and Systems Scientists. Springer - Verlag (1977). Winkels, H. M. 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dc.title.por.fl_str_mv Estratégias discretas em teoria dos jogos
dc.title.alternative.eng.fl_str_mv Discrete Strategies in game theory
title Estratégias discretas em teoria dos jogos
spellingShingle Estratégias discretas em teoria dos jogos
Sobrinho, Carlos Alberto Silva
Teoria dos Jogos
Otimização
Game theory
Optimization
MATEMATICA::MATEMATICA APLICADA
title_short Estratégias discretas em teoria dos jogos
title_full Estratégias discretas em teoria dos jogos
title_fullStr Estratégias discretas em teoria dos jogos
title_full_unstemmed Estratégias discretas em teoria dos jogos
title_sort Estratégias discretas em teoria dos jogos
author Sobrinho, Carlos Alberto Silva
author_facet Sobrinho, Carlos Alberto Silva
author_role author
dc.contributor.advisor1.fl_str_mv Cruz, José Yunier Bello
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8377200040018415
dc.contributor.referee1.fl_str_mv Cruz, José Yunier Bello
dc.contributor.referee2.fl_str_mv Sandoval, Wilfredo Sosa
dc.contributor.referee3.fl_str_mv Baumann, Luis Rodrigo Fernandes
dc.contributor.author.fl_str_mv Sobrinho, Carlos Alberto Silva
contributor_str_mv Cruz, José Yunier Bello
Cruz, José Yunier Bello
Sandoval, Wilfredo Sosa
Baumann, Luis Rodrigo Fernandes
dc.subject.por.fl_str_mv Teoria dos Jogos
Otimização
topic Teoria dos Jogos
Otimização
Game theory
Optimization
MATEMATICA::MATEMATICA APLICADA
dc.subject.eng.fl_str_mv Game theory
Optimization
dc.subject.cnpq.fl_str_mv MATEMATICA::MATEMATICA APLICADA
description In this work we have exposure to some elements of game theory and certain resolution procedures games using matrices, probability and especially optimization, ie, we optimize the moves with mathematical background. For this we will use a Theorem, two Propositions and discuss several examples to game theory, applying what we are working and show how one can proceed in several games so that the reader can understand and use such a theory. The objective is to disseminate the ideas of game theory, which has applications in several areas, including economy and military art.
publishDate 2014
dc.date.accessioned.fl_str_mv 2014-08-28T20:37:21Z
dc.date.available.fl_str_mv 2014-08-28
dc.date.issued.fl_str_mv 2014-04-11
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dc.identifier.citation.fl_str_mv Sobrinho, Carlos Alberto Silva - Estratégias discretas em teoria dos jogos - 2014 - 51 f. - Dissertação - Programa de Pós-graduação em Matemática (IME) - Universidade Federal de Goiás - Goiânia - Goiás - Brasil.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tde/2958
identifier_str_mv Sobrinho, Carlos Alberto Silva - Estratégias discretas em teoria dos jogos - 2014 - 51 f. - Dissertação - Programa de Pós-graduação em Matemática (IME) - Universidade Federal de Goiás - Goiânia - Goiás - Brasil.
url http://repositorio.bc.ufg.br/tede/handle/tde/2958
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dc.relation.references.por.fl_str_mv Axelrod, R. The Evolution of Cooperation. Basic Books, Michigan (1984). Benjamin, A. T., Goldman, A. J. Analysis of N-Card le Her. Jounal of Optimization Theory and Applications, 114, (2002), 695-704. Casti, J. L.Cinco Regras de Ouro. Editora Saraiva, Brasil (1999). Cournot, A. A. Exposition de la Théorie dos Chances et des Probalités. Hachette, Paris (1843). Dantzig, G. B. A proof of the equivalence of de programming problem and the game problem. In T. C. Koopmans ed., Activity Analysis of Production and Allocation, John Wiley (1951), 330 - 338. Dantzig, G. B. Maximization of a linear function subject to linear inequalities. In T. C. Koopmans ed., Activity Analysis of Production and Allocation, John Wiley & Sons, New York (1951). Davis, M. D. Game Theory: A Nontechnical Introduction. Dover Publications (1997). Fiani, R. Teoria dos Jogos com aplicações em Economia, Administração e Ciências Sociais. Elsevier, Rio de Janeiro (2009). Gale, D., Kuhn, H. W., Tucker, A. W. Linear programming and the theory of games. In T. C. Koopmans (ed.), Activity Analysis of Pro- duction and Allocation, John Wiley & Sons, New York (1951), 317 - 329. Green, L., Myerson, J., Ostaszewski, P. Amount of reward has opposite e_ects on the discouting of delayed and probabilistis out cones. Jour- nal of Experimental Psychology: Leaming Memory, and cognition, 25, (1999), 418-427. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts I, Management Science,14, (1967), 159-182. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts II, Management Science, 14, (1967), 320-334. Harsanyi, J. C. Games Whit Incomplete Information Played by _Bayesian _. Players, Parts III, Management Science, 14, (1967), 486-502. Jones, A. J. Game theory: Mathematical Models of Con_ict. Ellis Horwood (1980). Luce, R. D. & Rai_a, H. Games and Decisions. Wiley (1957). Morrow, J. D. Game Theory for Political Scientist. Princeton, NJ, Princeton University Press (1944). Nasar, S. Uma Mente Brilhante. Record (2003). Nash, J. F. Equilibrium Points in n-Person Games. Princeton University Press (1949). Nash, J. F. Non-cooperative Games. Annals of Mathematics, 54 (1951), 286-295. Nash, J. F. The Bargaining Problem. Econometria,18, Issue, Princeton University Press (1950), 155-162. Nash, J. F. Two-Penson Cooperative Games. U.S, Air Force project Rand (1950). Neumann, J. v. Zur Theorie del Gesellschaftsspiele. Mathematische Annalen 100, Hungria (1928), 295-320. Neumann, J. v., Mongestern, O. Theory of Games and Economic Behaviour. Princeton University Press (1944). Rapoport, A. Lutas, Jogos e Debates. Brasília: Editora Universidade de Brasília (1980), 325. Schelling, T. C. The Strategy of Con_ict. Harvard University Press (1980). Selten, R. Spieltheoretische Behandlung eines Oligopolmodells mit Nachfragetragheit. Zeitschrift fur die gesamte Staatswissenschaft 121, Alemanha (1965), 301-324 e 667-689. Shubik, M. Game Theory in the Social Sciences. MIT Press (1982). Silva, A R. Apresenta textos detalhados sobre a Teoria dos Jogos. Disponível em: <http://geocities.yahoo.com.br/discursus/tjcf/11tjcfc.html>. Acesso em 20 fev. 2013. Thomas, L. C. Games, Theory and Applications. Dover Publications (2003). Tversty, A. Preference, Belist, and Similanty:Selected Writing. [S.I]: MIT Press (2004). Vorob'ev, N. N. Game Theory, Lectures of Economists and Systems Scientists. Springer - Verlag (1977). Winkels, H. M. An algorithm to determine all equilibrium points of a bimatrix game, in Moeschlin, O. & Pallescke, D. (eds.) Game Theory and Related Topics, North-Holland (1979).
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bitstream.checksumAlgorithm.fl_str_mv MD5
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repository.name.fl_str_mv Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)
repository.mail.fl_str_mv grt.bc@ufg.br
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