### Educational Outreach Activities: ### Playing OR Games! Paul Harper, Vincent Knight, Louise Orpin
### Overview   1. ORiS 2. Prisoner's Dilemma 3. Epidemiology
### OR Society **stretch** goal   `"Every secondary school student to know what Operational Research is."`
### Education Officer
### Two examples   1. Game Theory using the Prisoner's Dilemma 2. Epidemiology using dice
### Dominant strategies   ![](./images/dominatedstrategies.gif)
### Some data   ![](./images/somedata.png)
### Golden Balls   ![](images/goldenballs.png)
### Golden Balls
### Prisoner's Dilemma Tournament   ![](http://3.bp.blogspot.com/-XCqaQWckHx8/TyG4nKcg1LI/AAAAAAAAJyU/IaEvwGk38Yw/s320/IMG_0864.jpg)
### Coalition   ![](./images/coalition.jpg)
### Coalition
### Epidemiology   ![](./images/contagion.jpg)
### Epidemiology
### Rules of the game   - If the combined score of the 2 dice is greater than 10 (i.e. equals 11 or 12), then the susceptible student becomes infected (i.e. the disease has just been transmitted!) and stands behind their chair. - This is repeated until the one initial infected student has rolled dice with all the students. - If the total of 2 rolls is 5, then the student recovers and moves to the side of the room and plays no further part in the game.
### Gloucester   ![](./images/gloucester.png)
### Gloucester
### Theoretical explanation   _S ’ = - bSI_ _I ’ = bSI - rI_ _R ’ = rI_