{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/ab5f2688955a4b8e8b04945c45aa1bf3\" frameborder=\"0\" width=\"1670\" height=\"1252\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1252,"width":1670,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1252,"thumbnail_width":1670,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/ab5f2688955a4b8e8b04945c45aa1bf3-766cdde3536ae102.gif","duration":1910.18,"title":"Convexity and uniqueness of optimizers (ECON2125/6012 week 8)","description":"In this video, I delve into the concepts of convexity and concavity in mathematical functions, explaining their significance in optimization problems. I provide examples to illustrate these concepts, including the properties of convex sets and the implications for functions. I also touch on the importance of first and second order conditions in determining local maxima and minima. Please take a moment to review the examples and let me know if you have any questions!"}