1. Predicting switching behavior: using leaky integrator model Jinsook Roh Dan Corson In Dezhe Jin’s team

2. The matching rule: animals distribute their time between two levers in proportion to the relative abundance of rewards at those sites. B1B1 B1B1 +B2B2 = R1R1 R1R1 + R2R2 P=0.75 RicherLeaner P=0.25

3. Motivation Previous study: The number of successive trials on which a player will choose a given lever before switching will be distributed as the average of a family of exponentials. (Sugrue et al, 2004)

4. Questions 1. Does the rat behavior follow the matching law? 2. Is there a simple model based on a reward history, which can explain switching behavior?

5. Leaky Integrator Model Value target a =  a*exp(- *(t-  i )) Output of integration: an estimate of that lever’s recent value

6. Rats stay longer on richer (high p of reward) side than leaner (low p of reward) side.

7. Rat switching behaviors follow the matching law.

8. The distribution of value for the final stage of a single stay before switch is different from that during the whole stay on target A.

9. There is no statistical difference between two levers. That means, on the target B, the mean and standard deviation of value for whole stay and the final 600 ms stage of the stay on target B are almost the same as them on target A.

10. Conclusion 1. The rat behaviors follow the matching law. 2. It is possible to quantitatively explain the difference between whole period of single stay on a target and the period before switch to other target, using leaky integrator model. 3. To be continued