Question

Problem 2 (16 Points) Determine if the following binary relations over $\mathbb{R}_{+}^{2}$ are complete and transitive 2.1) $x \succsim y$ if $\max(x_1, x_2) \geq \max(y_1, y_2)$. 2.2) $x \succsim y$ if $\max(x_1, x_2) \geq \min(y_1, y_2)$. 2.3) $x \succsim y$ if $\min(x_1, x_2) \geq \min(y_1, y_2)$.

Name: problem 2 16 points determine if the following binary relations over mathbbr2 are complete and transitive 21 x succsim y if maxx1 x2 geq maxy1 y2 22 x succsim y if maxx1 x2 geq miny1 60924
Uploaded: 2024-06-30T17:04:58-08:00
Duration: 11 min 26 s
Channel: George Prestidge
Description: problem 2 16 points determine if the following binary relations over mathbbr2 are complete and transitive 21 x succsim y if maxx1 x2 geq maxy1 y2 22 x succsim y if maxx1 x2 geq miny1 60924

          Problem 2 (16 Points)
Determine if the following binary relations over $\mathbb{R}_{+}^{2}$ are complete and transitive
2.1) $x \succsim y$ if $\max(x_1, x_2) \geq \max(y_1, y_2)$.
2.2) $x \succsim y$ if $\max(x_1, x_2) \geq \min(y_1, y_2)$.
2.3) $x \succsim y$ if $\min(x_1, x_2) \geq \min(y_1, y_2)$.

problem 2 16 points determine if the following binary relations over mathbbr2 are complete and transitive 21 x succsim y if maxx1 x2 geq maxy1 y2 22 x succsim y if maxx1 x2 geq miny1 60924

Added by Cassie J.

Principles of Economics

Gregory Mankiw 8th Edition

Instant Answer

Solved by Expert George Prestidge

06/30/2024

Step 1

A binary relation $\succsim$ on a set $S$ is: - **Complete** if for all $x, y \in S$, either $x \succsim y$ or $y \succsim x$ (or both). - **Transitive** if for all $x, y, z \in S$, if $x \succsim y$ and $y \succsim z$, then $x \succsim z$. In this problem, $S = Show more…

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Problem 2 (16 Points) Determine if the following binary relations over $\mathbb{R}_{+}^{2}$ are complete and transitive 2.1) $x \succsim y$ if $\max(x_1, x_2) \geq \max(y_1, y_2)$. 2.2) $x \succsim y$ if $\max(x_1, x_2) \geq \min(y_1, y_2)$. 2.3) $x \succsim y$ if $\min(x_1, x_2) \geq \min(y_1, y_2)$.