Statistics-lab™可以为您提供pitt.edu ECON0200 Game Theory博弈论课程的代写代考和辅导服务！
ECON0200 Game Theory课程简介
The course may cover topics such as game theory, mechanism design, computational finance, and data analysis. Students may learn how to use programming languages and software tools to build and analyze economic models and simulations, and may also study how to apply these techniques to real-world economic problems.
Overall, this course seems to combine elements of economics, computer science, and mathematics to provide students with a unique set of skills and knowledge for analyzing and designing economic systems in a rapidly changing and increasingly complex world.
PREREQUISITES
Project details and timeline
Project details and ideas can be found here (UW access only).
- Feb 22: Short description of topic, goals and project team due (as part of HW1).
- Mar 22: Up to one page report of progress, reference material, plans for the remainder of the semester. Before this date, please make an appointment with Shuchi to discuss potential topics and references.
- May 3: Final project reports due.
- May 5: Two projects (selected on the basis of the final reports) to be showcased during this lecture.
ECON0200 Game Theory HELP（EXAM HELP， ONLINE TUTOR）
- Consider the following game in matrix form with two players. Payoffs for the row player Izzy are indicated first in each cell, and payoffs for the column player Jack are second.
\begin{tabular}{c|c|c|c|}
& \multicolumn{1}{c}{$X$} & \multicolumn{1}{c}{$Y$} & \multicolumn{1}{c}{$Z$} \
\cline { 2 – 4 }$S$ & 5,2 & 10,6 & 25,10 \
\cline { 2 – 4 }$T$ & 10,12 & 5,6 & 0,0 \
\cline { 2 – 4 } & & &
\end{tabular}
(a) This game has two pure strategy Nash equilibria. What are they (justify your answer)? Of the two pure equilibria, which would Izzy prefer? Which would Jack prefer?
(b) Suppose Izzy plays a strictly mixed strategy, where both $S$ and $T$ are chosen with positive probability. With what probability should Izzy choose $S$ and $T$ so that each of Jack’s three pure strategies is a best response to Izzy’s mixed strategy.
(c) Suppose Jack wants to play a mixed strategy in which he selects $X$ with probability 0.7. With what probability should Jack plays actions $Y$ and $Z$ so both of Izzy’s pure strategies is a best response to Jack’s mixed strategy? Explain your answer.
(d) Based on your responses above, describe a mixed strategy equilibrium for this game in which both Jack and Izzy play each of their actions (pure strategies) with positive probability. Explain why this is in fact a Nash equilibrium (you can rely on the quantities computed in the prior parts of this question).
Textbooks
• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.
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