{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='When Maths Doesn\u0026#39;t Work: What we learn from the Prisoners\u0026#39; Dilemma - Professor Tony Mann' data-url='/boclips/videos/5cdb0d8e056744344d0914e4' data-video-url='/boclips/videos/5cdb0d8e056744344d0914e4' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nWhen Maths Doesn\u0026#39;t Work: What we learn from the Prisoners\u0026#39; Dilemma - Professor Tony Mann\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356823\" href=\"/search?publisher_ids%5B%5D=30356823\"\u003eGresham College\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eGame Theory is a branch of mathematics which tells us how to outthink an opponent or competitor. The Prisoners' Dilemma is a paradox in which knowledge of Game Theory is dangerous: the sophisticated mathematician comes off disastrously...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eGame Theory is a branch of mathematics which tells us how to outthink an opponent or competitor. The Prisoners' Dilemma is a paradox in which knowledge of Game Theory is dangerous: the sophisticated mathematician comes off disastrously worse than the ignoramus. For many years, the Prisoners' Dilemma was something of an embarrassment to the subject. A rigorous mathematical argument gives a ridiculous conclusion, and there seems to be no way round it. Mathematics appears to justify selfishness. But the power of the computer has changed everything. Recent work has used the Prisoners' Dillemma to tackle one of the big problems of evolutionary biology - in a Darwinian world, how does co-operation arise? Mathematical modelling and computer simulation use the Dilemma as the basis for a rich and provocative examination of the evolution of unselfish behaviour, and has thrown light on the generous altruistic behaviour of bats, fish, animals and people. We'll learn why it pays to be \"nice\", with examples from the First World War battlefield and the Champions League football field. It is now at the heart of mathematicians' exploration of co-operation. We're gaining insights into the nature and importance of trust, and why reputation matters so much. This mathematics may help us understand how we can avoid calamitous climate change. The transcript and downloadable versions of the lecture are available from the Gresham College \u003ca href='http://www.gresham.ac.uk/lectures-and-events/when-maths-doesnt-work-what-we-learn-from-the-prisoners-dilemma' target='_blank' rel='nofollow'\u003ewebsite\u003c/a\u003e Gresham College has been giving free public lectures since 1597. 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