MY-ASSIGNMENTEXPERT™可以为您提供 torontomu ECN614 Game theory博弈论的代写代考和辅导服务！
这是怀雅逊大学博弈论课程的代写成功案例。
ECN614课程简介
Game theory studies the interactions and conflicts between decision-making agents. This course focuses on its application to economic issues such as market structure, auctions and bargaining. It begins by introducing the concepts of action, strategies, cooperation and non-cooperation, and equilibrium. The assumption of complete information is then relaxed and the application of game theory to situations of incomplete and imperfect information is explored. The course draws on real world examples to illustrate core concepts, such as the Prisoner’s Dilemma and buying votes. These examples borrow from micro, macro and experimental economics.
Prerequisites
Game theory is the study of mathematical models of strategic interactions among rational agents.It has applications in all fields of social science, as well as in logic, systems science and computer science. The concepts of game theory are used extensively in economics as well. The traditional methods of game theory addressed two-person zero-sum games, in which each participant’s gains or losses are exactly balanced by the losses and gains of other participants. In the 21st century, the advanced game theories apply to a wider range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers.
ECN614 Game theory HELP（EXAM HELP， ONLINE TUTOR）
Find the value, $v(t)$, of the zero-sum game with payoff matrix
$$
A=\left[\begin{array}{ll}
0 & 2 \
t & 1
\end{array}\right]
$$
as a function of $t \in \Re$. Hint: First figure out which $t$ has a pure strategy equilibrium, and which has a mixed strategy equilibrium.
Use dominance to reduce the following $4 \times 4$ zero-sum game to a $2 \times 2$ game, and then solve.
$$
A=\left[\begin{array}{cccc}
5 & 4 & 1 & 0 \
4 & 3 & 2 & -1 \
0 & -1 & 4 & 3 \
1 & -2 & 1 & 2
\end{array}\right]
$$
Consider the zero-sum game with payoff matrix
$$
A=\left[\begin{array}{cccc}
d_1 & 0 & \cdots & 0 \
0 & d_2 & \cdots & 0 \
0 & 0 & \ddots & 0 \
0 & 0 & \cdots & d_n
\end{array}\right]
$$
where $d_i>0, i=1,2, \ldots, n$. Solve the game. Hint: Assume (at first) that both players play every strategy with positive probability. Use the principle of indifference to find the optimal strategies. Then verify that the optimal strategy does play every choice with positive probability. If you’re stuck, try the case $n=2$ first.
Player 1 chooses a number $i$ between 1 and 4 , and player 2 chooses a number $j$ between 1 and 4 . If $i=j$ then the payoff is 0 . If $|i-j|=1$ then the player with the bigger number wins $\$ 1$ from the other player. If $|i-j|>1$ then the player with the smaller number wins $\$|i-j|$ from the other player.
(a) Write down the payoff matrix.
(b) Solve the game.
MY-ASSIGNMENTEXPERT™可以为您提供 TORONTOMU ECN614 GAME THEORY博弈论的代写代考和辅导服务！
