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* 1. Let's imagine a sender-receiver game where there are 3 world states (1, 2, and 3), three signals (a, b, and c) and three acts (1, 2, and 3, where the correct act for state 1 is act 1 and so on).

Here is a sender strategy (where the number to the left of the ->  is the world state and the letter to the right is the signal the sender will choose):

1-> a
2-> c
3-> b

Which of the following receiver strategies will guarantee that the receiver will be able to select the correct act based on the sender's signal? (the letter to the left of the -> is the received signal, the number to the right is the act the receiver will choose).

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* 2. Here is a receiver strategy :

a->1
b->2
c->1

Which of the following sender strategies will guarantee that the receiver will be able to select the correct act based on the sender's signal?

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* 3. Let's go back to a simpler world, where there are two states, two signals, and two acts. Assuming that the sender wants to communicate about both world states equally often, on average how often would the following sender and receiver communicate successfully?

Sender:
1->a
2->b

Receiver:
a->1
b-> either 1 or 2, selected at random every time 

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* 4. The sender-receiver game is intended to be a very simple model of communication. We are going to get quite a lot of mileage out of this model and, I think, derive some important insights about how more complex linguistic systems might emerge and evolve. But it's clearly inadequate as a model of human language. What do you think the single most important missing feature is? Use the text box below to say what this is and explain briefly why.

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* 5. Is there anything you would like me to know before the lecture - any stuff you want me to go over again, anything you struggled with, any worries you have?

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