Selfish Behaviour in Queues

##Selfish Behaviour in Queues ####Vincent Knight [www.vincent-knight.com](http://www.vincent-knight.com)

![Venn Diagram](https://docs.google.com/drawings/pub?id=1-KZ7PupVg7lfdkEzGvGE1QnAGsX6tqwnfVOGlBUAfBo&w=700)

##Game Theory ---

Prisoner's Dilemma

$$\begin{pmatrix}50,50&0,100\\100,0&1,1\end{pmatrix}$$

Game Theory is the study of strategic decision making.

##Queueing Theory --- ![Venn Diagram](https://docs.google.com/drawings/pub?id=1-KZ7PupVg7lfdkEzGvGE1QnAGsX6tqwnfVOGlBUAfBo&w=700)

$$\pi_i=\left(\lambda\over\mu\right)^i\pi_0$$

Queueing Theory is the mathematical study of waiting lines, or queues.

##Queueing Games --- ![Venn Diagram](https://docs.google.com/drawings/pub?id=1-KZ7PupVg7lfdkEzGvGE1QnAGsX6tqwnfVOGlBUAfBo&w=700)

Pigou's Example --- ![Pigou](https://docs.google.com/drawings/pub?id=1pKMC-2bERGMH6iNkH5rkGo7ymKHPXBI-6LSnAa08vYA&w=700)

##Research Project: 2 --- ![AE_EMS_Interface](https://docs.google.com/drawings/pub?id=1lmyPjPcV5ZBBSv5zNBriL1z5zbVBLpA0ue4VmjJSz_M&w=789&h=198)

##Questions? --- ![](http://carletonnow.carleton.ca/ccms/wp-content/uploads/cartoon1.jpg)