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Results tagged with Search options user 5780
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The application of mathematical methods to represent theories and analyze problems in economics.

In physics it is useful to think of a vector as being defined by its magnitude and direction, but I think this is not the most useful intuition in Economics, rather the better intuition is as an order …
answered Jul 15 '16 by Sunhwa
If $f:\mathbb{R}^n \to \mathbb{R}$ is twice continuously differentiable, has a non-negative gradient, and is supermodular, and $g: \mathbb{R} \to \mathbb{R}$ is twice continuously differentiable a …
A definition in my book states $\sigma^* \in \Delta$ is a Nash equilibrium for $\Gamma$ if for all $i \in I$ and all $\mu_i \in \Delta_i, \; U_i (\sigma^*) \geq U_i(\sigma^* \backslash \mu_i)$. …
Let $K=$capital, $L=$ labour, $A=$ knowledge or effectiveness of labour. And put $\mathcal{K} = K/AL$ the capital stock per unit of effective labour. If the following is negative $$\displaystyle \ … asked Jan 18 '16 by Sunhwa 1answer If \succsim is rational, then B \mapsto C^*(B, \succsim) satisfies the weak axiom, and \succsim=\succsim^* Previously in the same theorem actually, they proved the following: If C is … asked May 5 '16 by Sunhwa I'll give a try, perhaps it is just this first derivative giving you trouble:$$ \frac{d}{dt} ln \left( \frac{ \gamma_t + (n+\delta)}{sA} \right) = \frac{sA}{\gamma_t + (n+\delta)} \frac{d}{dt} \left …