Diamond Dyvbig Experiment

(The contents of this page are provided by the Finance and Economics Experimental Laboratory at the University of Exeter.)

Stand-alone demonstration - Try out this multi-player experiment by making decisions against pre-existing results from a real session. 

Example subject instructions - View subject instructions.

• Level: Year ?1 undergraduate
• Pre-requisite knowledge: ?
• Suitable modules: ?

Abstract

Students play together as a group of small investors who all have money on deposit at the same bank. Each investor has to decide whether to withdraw his/her money today or wait until tomorrow. Some investors are 'impatient' and have a higher utility today, whereas others are 'patient' and have a higher utility tomorrow.

The bank has kept some of the money as cash in hand but the rest is invested in an illiquid asset that does not pay out until tomorrow, with a penalty for early withdrawal today. There is enough money to pay everyone in full provided sufficient of the patient investors decide to wait until tomorrow. Otherwise the money runs out and the bank pays as many investors as it can, with priority being given to those who decided to withdraw today. There is an equilibrium where the patient investors all wait until tomorrow and a second one where they all withdraw today, this latter being a bank run when some investors are not paid because they all try to withdraw early.

Intended Learning Outcomes

1. Explanation of bank runs (multiple equilibria).

2. Possible preventative measures.

Discussion of Likely Results

In the default setup, 5 impatient investors and 5 patient investors each invest £1, total £10. Investors choose between withdrawing £1 today or £2 tomorrow. Payoffs represent the investors' utility. Receiving £1 today is worth £1 to both impatient and patient investors. Receiving £2 tomorrow is worth £0.50 to impatient investors and £2 to patient investors. The bank has £5 in cash and £5 invested, with a return on each £1 invested of £0.50 today or £2 tomorrow. There is still some money left to pay investors tomorrow provided no more than two patient investors decide to withdraw today.

Withdrawals Today		Investors Paid
Impatient	Patient	Today	Tomorrow
5	0	5	5
5	1	6	3
5	2	7	1
5	3	*7.5	0
5	4	*7.5	0
5	5	*7.5	0
(*) One investor is not paid in full.

A bank run is almost inevitable if the bank gets only £0.20 today and £1.10 tomorrow for each £1 invested. Now the money runs out altogether if only one patient investor panics and decides to withdraw today.

Withdrawals Today		Investors Paid
Impatient	Patient	Today	Tomorrow
5	0	5	5
5	1	6	0
5	2	6	0
5	3	6	0
5	4	6	0
5	5	6	0

The bank can prevent a run by suspending payments for today once 5 investors have been paid. If more than 5 investors decide to withdraw today, the bank picks 5 of them at random to be paid; all others who wanted their money today are made to come back tomorrow instead, when they are paid alongside those who preferred to wait originally. So it is possible that some impatient investors will be paid tomorrow if one or more patient investors decide to withdraw today.

Discussion of Application

There was a 'bank run' on hedge funds due to the problems with subprime mortgages. See Paul Krugman: It's A Miserable Life.