# Tag Info

Accepted

### Prove that for every Nash equilibrium $\sigma^*$, the probability distribution $p_{\sigma^*}$ is a correlated equilibrium

A strategy profile $\sigma^*=(\sigma_i^*,\sigma_{-i}^*)$ is a Nash equilibrium if for all player $i$, u_i(s_i,\sigma_{-i}^*)\ge u_i(s_i',\sigma_{-i}^*), \quad \forall s_i\in\mathrm{...
• 15.5k

### Indifference Curve Analysis

Indifference curves represent preferences. Preferences are usually assumed to be stable, i.e. they do not change. So no, indifference curves don't shift.
• 7,044

### Concavity of Cobb-Douglass Utility Function on Non-Open set

I assume the notation $\mathbb R^2_+$ refers to $[0,\infty)^2$. Note that the set on which a function is defined need not be the same set on which a function is differentiable. In particular, it's ...
• 15.5k
Accepted

### What is the meaning of the support set in game theory?

From Wikipedia: Suppose that $f : X \to \mathbb{R}$ is a real-valued function whose domain is an arbitrary set $X.$ The set-theoretic support of $f$, written $\operatorname{supp}(f),$ is the set of ...
• 29.4k