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Il mondo è matematico - O mundo é matemático - El mundo es matemático #8
Prisioneiros com Dilemas e Estratégias Dominantes
Teoria dos jogos
O jogo, a actividade livre por excelência, também
permite interessantes formalizações matemáticas.
Este processo culminou em meados do século
passado quando, no calor da Guerra Fria e do
confronto entre superpotências, se desenvolveu a
moderna teoria dos jogos, que tem como objectivo
o estudo de estratégias ganhadoras para abordar
todo o tipo de conflitos.
O jogo, a actividade livre por excelência, também
permite interessantes formalizações matemáticas.
Este processo culminou em meados do século
passado quando, no calor da Guerra Fria e do
confronto entre superpotências, se desenvolveu a
moderna teoria dos jogos, que tem como objectivo
o estudo de estratégias ganhadoras para abordar
todo o tipo de conflitos.
- GenresMathematics
143 pages, Hardcover
First published December 1, 2010
12 people are currently reading
62 people want to read
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Displaying 1 - 8 of 8 reviews
July 16, 2023
Tenía curiosidad desde hace tiempo sobre la Teoría de Juegos, así que cogí el libro con ganas, pero después de leerlo no puedo decir que haya aprendido mucho sobre el tema. Tarde en meterse en faena y, cuando lo hace, da unos ejemplos generales que no terminan de mostrar lo que, supongo, debe dar de sí la disciplina.
Por el lado positivo que, como profesor de secundaria, el recorrido que hacer por juegos y acertijos clásicos me ha dado material para usar en alguna clase. No era lo que buscaba, pero por ahí sí que he salido satisfecho.
Por el lado positivo que, como profesor de secundaria, el recorrido que hacer por juegos y acertijos clásicos me ha dado material para usar en alguna clase. No era lo que buscaba, pero por ahí sí que he salido satisfecho.
June 27, 2023
ksiazka to sraka i jebie starym chujem
ilość błędów gramatycznych, ortograficznych i rachunkowych w książce jest porównywalna do
nie wiem czego, po prostu w pizdu dużo, błagam, podwójne spacje??? czasem brak spacji? jebane kurwa "częstrze"??????
najgorsze były błędy rachunkowe i ich zaokrąglenie
(1/37)³*(36/37)⁷*120 do 1/50, kiedy w rzeczywistości jest to 1/500 czyli 10 razy mniej co jest znaczące (ten błąd wyszedł z błędnego zaokrąglenia (1/37)³*(36/37)⁷ do 0,00016 zamiast 0,000016)
dodatkowo pojawił się błąd gdzie autor lub tłumacz/ka myślałx o czymś do potęgi 24 policzyła wszytko jak do potęgi 24 ale napisała potęgę 4 przez co musiałam weryfikować potem prawie wszystkie wyniki w książce bo nie byłam w stanie zaufać po takim błędzie, książka definitywnie nie przeszła żadnego sprawdzenia wcześniej a powinna bo kosztuje jebane 35 złotych, nie pozdrawiam osoby robiącej przekład na polski
ilość błędów gramatycznych, ortograficznych i rachunkowych w książce jest porównywalna do
nie wiem czego, po prostu w pizdu dużo, błagam, podwójne spacje??? czasem brak spacji? jebane kurwa "częstrze"??????
najgorsze były błędy rachunkowe i ich zaokrąglenie
(1/37)³*(36/37)⁷*120 do 1/50, kiedy w rzeczywistości jest to 1/500 czyli 10 razy mniej co jest znaczące (ten błąd wyszedł z błędnego zaokrąglenia (1/37)³*(36/37)⁷ do 0,00016 zamiast 0,000016)
dodatkowo pojawił się błąd gdzie autor lub tłumacz/ka myślałx o czymś do potęgi 24 policzyła wszytko jak do potęgi 24 ale napisała potęgę 4 przez co musiałam weryfikować potem prawie wszystkie wyniki w książce bo nie byłam w stanie zaufać po takim błędzie, książka definitywnie nie przeszła żadnego sprawdzenia wcześniej a powinna bo kosztuje jebane 35 złotych, nie pozdrawiam osoby robiącej przekład na polski
This entire review has been hidden because of spoilers.
December 19, 2025
*Prior expectations*
Prisoners with Dilemmas is a volume in the RBA–National Geographic collection Our Mathematical World, first published in Spanish in 2012 and later translated into several languages, including English and Portuguese. The collection consists of 60 relatively short volumes (around 150 pages each), each devoted to a specific theme and combining mathematical theory with historical context and biographical sketches of famous mathematicians. The level is accessible, requiring little more than curiosity and roughly a high-school background in mathematics.
This particular volume focuses on games in general and Game Theory in particular. The author, Jordi Deulofeu, has also contributed to another series I own (Mathematical Geniuses), where he wrote volumes on Fibonacci (which I’ve read) and Pascal (which I hope to read next year).
I’ve found the books I’ve read so far in Our Mathematical World enjoyable and, for the most part, accessible. That said, given their format and aims, none has struck me as especially memorable. My expectations for this book were therefore fairly standard—around three stars: pleasant, informative, and breezy—perhaps dampened slightly by the fact that Game Theory is a relatively recent and highly applied branch of mathematics, and one I tend to find less appealing than others.
*Posteriors*
The book largely met those expectations and perhaps exceeded them slightly. If I were to assign a precise rating, it would probably land at around 3.5 stars. The mathematics is clearly explained and generally easy to follow, provided one pays some attention. This was helped by the fact that it is the third Game Theory book I’ve read, after The Strategy of Conflict and Introducing Game Theory: A Graphic Guide.
The book is divided into five chapters. Chapter 1 offers a general introduction to games and their relationship with mathematics up to the twentieth century. Chapter 2 explores strategy games—those without an element of chance—and shows how winning strategies can be identified, with examples drawn mainly from the Nim family of games. Chapter 3 turns to games of chance and introduces some probability, using well-known anecdotes such as the Chevalier de Méré problem, the Monty Hall problem, and the notion of expected value. Finally, chapters 4 and 5 deal with Game Theory proper, introducing its core concepts: zero-sum and non-zero-sum games, pure and mixed strategies, equilibria, saddle points, the Prisoner’s Dilemma, Nash equilibrium, Shapley values, and so on.
Overall, the book is solid throughout, but the last two chapters are the most engaging. This seems to be a common reaction: some reviewers complain that they expected the entire book to focus on Game Theory and felt disappointed. The title arguably encourages that expectation, but I found the earlier chapters enjoyable in their own right. Even when not strictly “Game Theory,” they provide useful context and make the final sections more satisfying.
Prisoners with Dilemmas is a volume in the RBA–National Geographic collection Our Mathematical World, first published in Spanish in 2012 and later translated into several languages, including English and Portuguese. The collection consists of 60 relatively short volumes (around 150 pages each), each devoted to a specific theme and combining mathematical theory with historical context and biographical sketches of famous mathematicians. The level is accessible, requiring little more than curiosity and roughly a high-school background in mathematics.
This particular volume focuses on games in general and Game Theory in particular. The author, Jordi Deulofeu, has also contributed to another series I own (Mathematical Geniuses), where he wrote volumes on Fibonacci (which I’ve read) and Pascal (which I hope to read next year).
I’ve found the books I’ve read so far in Our Mathematical World enjoyable and, for the most part, accessible. That said, given their format and aims, none has struck me as especially memorable. My expectations for this book were therefore fairly standard—around three stars: pleasant, informative, and breezy—perhaps dampened slightly by the fact that Game Theory is a relatively recent and highly applied branch of mathematics, and one I tend to find less appealing than others.
*Posteriors*
The book largely met those expectations and perhaps exceeded them slightly. If I were to assign a precise rating, it would probably land at around 3.5 stars. The mathematics is clearly explained and generally easy to follow, provided one pays some attention. This was helped by the fact that it is the third Game Theory book I’ve read, after The Strategy of Conflict and Introducing Game Theory: A Graphic Guide.
The book is divided into five chapters. Chapter 1 offers a general introduction to games and their relationship with mathematics up to the twentieth century. Chapter 2 explores strategy games—those without an element of chance—and shows how winning strategies can be identified, with examples drawn mainly from the Nim family of games. Chapter 3 turns to games of chance and introduces some probability, using well-known anecdotes such as the Chevalier de Méré problem, the Monty Hall problem, and the notion of expected value. Finally, chapters 4 and 5 deal with Game Theory proper, introducing its core concepts: zero-sum and non-zero-sum games, pure and mixed strategies, equilibria, saddle points, the Prisoner’s Dilemma, Nash equilibrium, Shapley values, and so on.
Overall, the book is solid throughout, but the last two chapters are the most engaging. This seems to be a common reaction: some reviewers complain that they expected the entire book to focus on Game Theory and felt disappointed. The title arguably encourages that expectation, but I found the earlier chapters enjoyable in their own right. Even when not strictly “Game Theory,” they provide useful context and make the final sections more satisfying.
August 9, 2019
El libro está bien. Es ameno, se lee con facilidad, los ejemplos son claros, no se mete en operaciones complicadas y los cálculos de los ejemplos son claros de seguir...
Sin embargo, dedica demasiadas páginas a los primeros capítulos (estrategias en juegos con o sin azar) y no profundiza en los dos últimos, los relativos a la teoría de juegos que serían, en realidad, los más interesantes.
En estos últimos plantea ejemplos sencillos de matrices de ganancias y estrategias, pero los ejemplos de cómo se aplicarían a la realidad están elaborados ad hoc y no consiguen servir de ejemplos claros de la utilidad real de la teoría de juegos en estrategias de la vida real.
Quizá se habría agradecido que no abundara tanto en ejemplos teóricos (especialmente en los primeros capítulos, los más sencillos) y que hubiera empleado esas páginas en ejemplos reales de la utilidad del tema que trata.
Sin embargo, dedica demasiadas páginas a los primeros capítulos (estrategias en juegos con o sin azar) y no profundiza en los dos últimos, los relativos a la teoría de juegos que serían, en realidad, los más interesantes.
En estos últimos plantea ejemplos sencillos de matrices de ganancias y estrategias, pero los ejemplos de cómo se aplicarían a la realidad están elaborados ad hoc y no consiguen servir de ejemplos claros de la utilidad real de la teoría de juegos en estrategias de la vida real.
Quizá se habría agradecido que no abundara tanto en ejemplos teóricos (especialmente en los primeros capítulos, los más sencillos) y que hubiera empleado esas páginas en ejemplos reales de la utilidad del tema que trata.
August 23, 2023
Eu, que tive (e às vezes ainda tenho) uma relação de amor-ódio, onde o ódio ganha mais por vezes, olhei para este volume e pensei porque não?
Admito que não aprofundei-me muito nas equações e cálculos que apareciam, mas apreciei muito a parte história e perceber o quanto do dia a dia pode a matemática ser-nos útil - às vezes, o conhecimento de matemática deveria ser um pouco mais profundo para se conseguir tomar boas decisões.
Foi divertido, ao mesmo tempo que me diverti a ler sobre matemática - mais divertido do quanto tinha de ter conhecimentos muito mais profundos (como a Matemática A).
Admito que não aprofundei-me muito nas equações e cálculos que apareciam, mas apreciei muito a parte história e perceber o quanto do dia a dia pode a matemática ser-nos útil - às vezes, o conhecimento de matemática deveria ser um pouco mais profundo para se conseguir tomar boas decisões.
Foi divertido, ao mesmo tempo que me diverti a ler sobre matemática - mais divertido do quanto tinha de ter conhecimentos muito mais profundos (como a Matemática A).
February 2, 2020
Książka niewątpliwie jest dobrym wprowadzeniem do teorii gier, ale często brakuje w niej rozwiązań do zagadek matematycznych przedstawionych przez autora.
Ciekawostka:
Alquerque to najstarsza znana gra bez elementu losowego, poprzedniczka warcabów, została opisana w 1283 r. w ”Księdze gier” króla Alfonsa X Mądrego.
Ciekawostka:
Alquerque to najstarsza znana gra bez elementu losowego, poprzedniczka warcabów, została opisana w 1283 r. w ”Księdze gier” króla Alfonsa X Mądrego.
February 26, 2013
Termina apresarado. La ligereza de la escritura no le hace honor a la profundidad del tema. La importante estrategia "tit-for-tat" ("ojo-po-ojo") a penas se expuso, sin ahondar en sus implicancias.
Displaying 1 - 8 of 8 reviews