{"id":6395,"date":"2019-03-23T16:22:05","date_gmt":"2019-03-23T19:22:05","guid":{"rendered":"http:\/\/tdibrasil.org\/?p=6395"},"modified":"2026-06-15T19:41:29","modified_gmt":"2026-06-15T22:41:29","slug":"o-paradoxo-de-braess-e-a-eficiencia-de-pareto-restricoes-dominantes","status":"publish","type":"post","link":"https:\/\/tdibrasil.org\/index.php\/2019\/03\/23\/o-paradoxo-de-braess-e-a-eficiencia-de-pareto-restricoes-dominantes\/","title":{"rendered":"O Paradoxo de Braess e a Efici\u00eancia de Pareto (Restri\u00e7\u00f5es Dominantes)"},"content":{"rendered":"<hr \/>\n<p style=\"text-align: justify\">\u00c9 comum pensarmos que basta aumentar os recursos para algum fim que aumentaremos tamb\u00e9m a sua capacidade ou a sua produ\u00e7\u00e3o. Tr\u00e2nsito congestionado? Bastam vias adicionais e tudo estar\u00e1 resolvido. Aumentar a produ\u00e7\u00e3o? Basta aumentar o volume de insumos e pronto. Mas o mundo real seria assim? Bom, conforme as vari\u00e1veis aumentam, o problema de &#8220;efici\u00eancia&#8221; se torna escabroso e nada linear.<\/p>\n<p style=\"text-align: justify\">Seja na computa\u00e7\u00e3o, biologia, engenharia, economia ou qualquer ci\u00eancia\/t\u00e9cnica que trabalhe com aloca\u00e7\u00e3o e utiliza\u00e7\u00e3o de recursos, temos a no\u00e7\u00e3o de \u00f3timo (\u00f3ptimo) para a efici\u00eancia m\u00e1xima alcan\u00e7\u00e1vel (melhor desempenho). \u00c9 algo intuitivo que usamos todos os dias como, por exemplo, quando decidimos a ordem de lugares que vamos (para n\u00e3o se locomover mais que o necess\u00e1rio). Esta busca por &#8220;economia&#8221; \u00e9 simples a princ\u00edpio: para solu\u00e7\u00f5es individuais ou locais.<\/p>\n<p><strong>Sistemas Complexos e Restri\u00e7\u00f5es Dominantes<\/strong><\/p>\n<p style=\"text-align: justify\">A medida que os sistemas se tornam complexos a efici\u00eancia local (ou individual) passa a se distinguir da efici\u00eancia global. Para ilustrar, um time com os melhores jogadores pode n\u00e3o garantir superioridade contra um time que, apesar de n\u00e3o ter o melhor conjunto, alcan\u00e7a melhor efici\u00eancia global. Um bom conjunto de elementos pode anular um elemento \u00f3timo, seja ele do time advers\u00e1rio ou do pr\u00f3prio time: a efici\u00eancia individual pode ser restringida pela din\u00e2mica global em uma combina\u00e7\u00e3o de fatores dif\u00edcil de ser descrita ou resolvida.<\/p>\n<p style=\"text-align: justify\">O conflito das solu\u00e7\u00f5es \u00f3timas locais (individuais) e o todo (\u00f3timo global) \u00e9 de interesse de v\u00e1rias \u00e1reas do conhecimento. Um conceito relacionado \u00e9 a Efici\u00eancia de Pareto: um estado \u00f3timo em que \u00e9 imposs\u00edvel melhorar a efici\u00eancia de um elemento do sistema sem prejudicar a de outro elemento.<\/p>\n<p style=\"text-align: justify\">Para se ter ideia da n\u00e3o obviedade das solu\u00e7\u00f5es, o Paradoxo de Braess, por exemplo, ilustra o caso onde se acrescentar uma via para descongestionar o tr\u00e2nsito piora a efici\u00eancia global. Isso \u00e9, apesar de alguma via extra ser adicionada, o congestionamento piora. Neste caso a efici\u00eancia \u00e9 medida em tempo gasto no tr\u00e2nsito. Mas o que isso tem a ver com sistemas biol\u00f3gicos?<\/p>\n<p style=\"text-align: justify\">A opini\u00e3o corrente em biologia credita \u00e0 sele\u00e7\u00e3o natural e alguns outros mecanismos a origem do design biol\u00f3gico. A din\u00e2mica seria predominante imediata: vantagem reprodutiva em um dado contexto. Na imagina\u00e7\u00e3o usada na formula\u00e7\u00e3o das hip\u00f3teses, a efici\u00eancia local sempre se sobrep\u00f5e ao \u00f3timo global e a funcionalidade \u00e9 aperfei\u00e7oada enquanto a maioria das fun\u00e7\u00f5es est\u00e3o em &#8220;espera&#8221; (porque \u00e9 imposs\u00edvel ajustar todas as fun\u00e7\u00f5es de um sistema heterog\u00eaneo ao mesmo tempo). Ent\u00e3o, se temos um olho, imaginamos um passo a passo cont\u00ednuo de olhos ligeiramente mais eficientes ao longo de vastos per\u00edodos de tempo e espa\u00e7o &#8220;pressionando&#8221; todas as outras efici\u00eancias do sistema.<\/p>\n<p style=\"text-align: justify\">O processo darwiniano provavelmente <a href=\"https:\/\/tdibrasil.org\/index.php\/2016\/12\/06\/matematicos-e-evolucao\/\" rel=\"noopener noreferrer\" target=\"_blank\">esgota os recursos probabil\u00edsticos<\/a> do nosso Universo e \u00e9 antiquado para responder a arquitetura da vida, al\u00e9m de alcan\u00e7ar um teto em seus desdobramentos (<a href=\"https:\/\/tdibrasil.org\/index.php\/2019\/02\/03\/informatica-evolucionaria-marks-dembski-e-ewert-demonstram-os-limites-do-darwinismo\/\" rel=\"noopener noreferrer\" target=\"_blank\">teto de Basener<\/a>). As solu\u00e7\u00f5es de design, por outro lado, correspondem exatamente ao que vemos (<a href=\"https:\/\/tdibrasil.org\/index.php\/2018\/12\/03\/proposta-de-grafico-de-dependencia-de-ewert-uma-floresta-de-composicoes\/\" rel=\"noopener noreferrer\" target=\"_blank\">Ewert<\/a>). Todas essas coisas se tornam cada vez mais claras conforme o nosso conhecimento sobre a vida aumenta.<\/p>\n<p style=\"text-align: justify\">A ideia de que &#8220;as coisas v\u00e3o acontecendo acidentalmente&#8221; e se encaixam \u00e9 absolutamente irreal\u00edstica. N\u00e3o existe nada paralelo, nada assim em qualquer experi\u00eancia repetida e uniforme na hist\u00f3ria da humanidade para organiza\u00e7\u00f5es funcionais. Como <a href=\"https:\/\/tdibrasil.org\/index.php\/2019\/02\/14\/o-limite-da-evolucao-porque-o-mecanismo-darwiniano-e-autolimitante\/\" rel=\"noopener noreferrer\" target=\"_blank\">afirma Behe<\/a>: &#8220;Mudan\u00e7as evolucion\u00e1rias n\u00e3o direcionadas enfrentam m\u00faltiplas restri\u00e7\u00f5es dominantes&#8221;.<\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>\u00c9 comum pensarmos que basta aumentar os recursos para algum fim que aumentaremos tamb\u00e9m a sua capacidade ou a sua produ\u00e7\u00e3o. Por\u00e9m, conforme as vari\u00e1veis aumentam, o problema de &#8220;efici\u00eancia&#8221;&#8230;<\/p>\n<\/div>","protected":false},"author":1,"featured_media":6398,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,12,22],"tags":[328,329,717,824,879,884],"class_list":["post-6395","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computacao","category-engenharia","category-filosofia-do-design","tag-eficiencia-de-pareto","tag-eficiencia-global","tag-paradoxo-de-braess","tag-restricoes-dominantes","tag-sistemas-complexos","tag-solucao-otima"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>O Paradoxo de Braess e a Efici\u00eancia de Pareto (Restri\u00e7\u00f5es Dominantes) &#187; Portal TDI Brasil +<\/title>\n<meta name=\"description\" content=\"\u00c9 comum pensarmos que basta aumentar os recursos para algum fim que aumentaremos tamb\u00e9m a sua capacidade ou a sua produ\u00e7\u00e3o. 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