Social dilemmas in multistrategy evolutionary potential games

Szabó, György; Bunth, Gergely

doi:10.1103/physreve.97.012305

Cited by 16 publications

(6 citation statements)

References 63 publications

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“…For the self-dependent (cross-dependent) games the matrix elements are equivalent in the rows (columns). The antisymmetric part (denoted as A (h) ) of the latter two types of interactions can be defined by (n − 1) parameters and these components are responsible for the appearance of social dilemmas in the potential games [20]. The rest of the dyadic products can also be separated into the sum of symmetric and antisymmetric matrices.…”

Section: Mathematical Backgroundmentioning

confidence: 99%

“…For this construction four types of elementary interactions can be distinguished in the game theory, namely, games with self-and cross-dependent payoffs, coordination-type interactions, and combinations of elementary cyclic dominance. The antisymmetric part of the self-and cross-dependent components can cause social dilemmas in the potential games [20] while the presence of cyclic components prohibits the existence of potential. Now we adapt the above mathematical framework to the analyses of directed weighted graphs possessing antisymmetric adjacency matrices (A T = −A).…”

Section: Introductionmentioning

confidence: 99%

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Statistical analyses of cyclic and starlike hierarchical dominances in directed graphs

Szabó

Borsos

Leitner³

2019

Phys. Rev. E

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The mathematical framework of matrix decomposition implies the possibility to perform statistical analyses of directed graphs focused on the distributions of the independent cyclic and starlike hierarchical components. In this approach the weighted directed graphs with n nodes are built up as a linear combination of starlike graphs with n outgoing edges and a suitable set of three-edge cyclic subgraphs. The applicability of this approach is illustrated by quantifying several general features: e.g., ratio of the cyclic and hierarchical components and asymmetry in the hierarchical components. The applicability of these methods is illustrated by considering the averages over random directed graphs and comparing these values with those characterizing simple directed graphs of tournaments.

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Section: Mathematical Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Statistical analyses of cyclic and starlike hierarchical dominances in directed graphs

Szabó

Borsos

Leitner³

2019

Phys. Rev. E

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“…Since then, several areas of knowledge have passed through [3][4][5]. From investigations into social dynamics [6],through spread and control of epidemics [7][8][9] and even linguistics [10,11]. In this way, the theory of complete networks has become a paradigm for interdisciplinary research that, in turn, is a challenge for teaching, production and technical-scientific dissemination.…”

Section: Introductionmentioning

confidence: 99%

Analyzing course programmes using complex networks

Pinto¹,

Ferreira²

2020

Preprint

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We analyze the curriculum of the early common-years of engineering in our institute using tools of statistical physics of complex networks. Naturally, a course programme is structured in a networked form (temporal dependency and prerequisites). In this approach, each topic within each programme is associated with a node, which in turn is joined by links representing the dependence of a topic for the understanding of another in a different discipline. As a course programme is a time-dependent structure, we propose a simple model to assign links between nodes, taking into account only two ingredients of the teaching-learning process: recursiveness and accumulation of knowledge. Since we already know the programmes, our objective is to verify if the proposed model is able to capture their particularities and to identify implications of different sequencing on the student learning in the early years of engineering degrees. Our model can be used as a systematic tool assisting the construction of a more interdisciplinary curriculum, articulating between disciplines of the undergraduate early-years in exact sciences.

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“…O estudo de redes complexas vem perpassando diversas áreas do conhecimento [1][2][3][4]. Desde investigações em dinâmicas sociais [5,6], passando pela propagação e controle de epidemias [7][8][9] e até a linguística [10,11]. Dessa forma, a teoria de redes complexas se tornou um paradigma para pesquisas interdisciplinares que, por sua vez, são um desafio para o ensino, produção e divulgação técnico-científica.…”

Section: Introductionunclassified

Analisando ementas curriculares usando redes complexas

Pinto

Ferreira

2020

Rev. Bras. Ensino Fís.

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Resumo Analisamos as grades curriculares do ciclo básico das engenharias em nosso instituto usando ferramentas da física estatística de redes complexas. Naturalmente, uma grade curricular estrutura-se em forma de rede (ordenamento temporal e pré-requisitos). Nessa abordagem, cada tópico dentro de uma ementa é associado a um nó que, por sua vez, são conectados por links que representam a dependência de um certo tema para a compreensão de um outro, em uma disciplina diferente. Como uma grade curricular é uma estrutura tempo-dependente, evoluindo semestre após semestre, propomos um modelo simples para assinalar ligações entre pares de nós levando em conta apenas dois ingredientes do processo de ensino-aprendizagem: a recursividade e o acúmulo de conhecimentos. Como já conhecemos nossas grades curriculares, nosso primeiro objetivo é verificar se o modelo proposto é capaz de capturar as particularidades de cada uma delas e identificar as implicações que diferentes sequenciamentos do setor de física possam ter no aprendizado dos estudantes. Nosso modelo pode ser usado como uma ferramenta sistemática auxiliando na construção de uma grade curricular interdisciplinar, articulando entre os saberes das disciplinas iniciais da graduação em ciências exatas.

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Social dilemmas in multistrategy evolutionary potential games

Cited by 16 publications

References 63 publications

Statistical analyses of cyclic and starlike hierarchical dominances in directed graphs

Statistical analyses of cyclic and starlike hierarchical dominances in directed graphs

Analyzing course programmes using complex networks

Analisando ementas curriculares usando redes complexas

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