To get increasing returns to scale using the production function $Y _ { t } = A _ { t } K _ { t } ^ { 1 / 3 } L _ { t } ^ { 2 / 3 }$ , we need to replace total factor productivity with:

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Increasing returns to scale can be achieved by incorporating the stock of ideas, A_t, which can enhance productivity beyond the proportional increase in inputs.

To Get Increasing Returns to Scale Using the Production Function Yt=AtKt1/3Lt2/3Y _ { t } = A _ { t } K _ { t } ^ { 1 / 3 } L _ { t } ^ { 2 / 3 }Yt​=At​Kt1/3​Lt2/3​

To Get Increasing Returns to Scale Using the Production Function $Y _ { t } = A _ { t } K _ { t } ^ { 1 / 3 } L _ { t } ^ { 2 / 3 }$