Estratégias discretas em teoria dos jogos
| Ano de defesa: | 2014 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | , , |
| 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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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. |
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2014 |
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2014-08-28T20:37:21Z |
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2014-08-28 |
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2014-04-11 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
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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. |
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http://repositorio.bc.ufg.br/tede/handle/tde/2958 |
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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. |
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por |
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por |
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600 600 600 600 |
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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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Repositório Institucional da UFG |
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http://repositorio.bc.ufg.br/tede/bitstreams/c8ec0dac-5938-4f6d-b3d3-dedbcab5a925/download http://repositorio.bc.ufg.br/tede/bitstreams/ce5558d4-a694-4657-8905-6a25ffdc4564/download http://repositorio.bc.ufg.br/tede/bitstreams/78c0d774-9b13-4248-8124-575fe8fb4c7a/download http://repositorio.bc.ufg.br/tede/bitstreams/953834c5-c116-466c-a6dd-affb4f77330f/download http://repositorio.bc.ufg.br/tede/bitstreams/99870293-c0f4-4303-aed9-7dd8c83903ef/download http://repositorio.bc.ufg.br/tede/bitstreams/062e2f89-a490-4703-9ca4-e956e72d291a/download http://repositorio.bc.ufg.br/tede/bitstreams/2827beec-6f59-4f4c-b7a9-4ad143453ec5/download |
| bitstream.checksum.fl_str_mv |
232e528055260031f4e2af4136033daa 4afdbb8c545fd630ea7db775da747b2f dd6580d2d5007383f0e67b904850adc9 9da0b6dfac957114c6a7714714b86306 e3104a4272da62c638840e38dced1527 aad84752fbe4a81e63db320be84e356e 53c42f439bbe86f06b90bedfba664f8a |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
| repository.mail.fl_str_mv |
grt.bc@ufg.br |
| _version_ |
1861293813879799808 |