experimentation in virtual worlds

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AVEA virtual economy seminar 8.6.2010 Juha Tolvanen [email protected]

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AVEA virtual economy

seminar8.6.2010

Juha Tolvanen

[email protected]

Experimentation in virtual

worlds

Contents

1.Some words on my work in AVEA

2.Virtual words as a source for natural

experiments

3.A quick example

My work on game theory

• What is game theory?

• You and me, we both have to make a

choice.

• What you choose affects my decision

and vice versa.

• I’ve been studying large games, i.e.

games where the number of agents is

large

Large games

• I’ve been working on finding theoretically

sound ways to tackle this problem and

testing the findings using data from virtual

worlds.

In general, the larger

the game, the harder it

is to analyze.

Large games

• This is rather technical stuff, so let’s do

something else today to demonstrate

how the data from VWs can be used in

social sciences.

• Some virtual world oriented examples

can be found from the final report.

Virtual worlds are rich of

natural experiments

• Natural experiments are situations

where naturally isolated changes in

some variables allow us to control our

“other things equal” assumptions.

• In VWs the environment changes often

and creates a rich source of possible

natural experiments.

The credit crunch and

natural experiments

Let’s take a look at one of

them:

• After the credit crunch,

many economists have

criticized the so called

efficient market hypothesis

(EMH).

The credit crunch and

natural experiments• EMH: Prices reflect all

available public information

on assets (Fama, 1970).

• Many have argued that the

collateral for the subprime

loans was highly overvalued

and risk premiums were

systematically too low prior

to 2007.A free hair cut with a

loan!

How to test the EMH?

• EMH implies that changing production

from one good to any other shouldn’t

yield any profits if one does not have

any private information.

• Testing the hypothesis above can be

hard:

• Changing production from good A to good B

can be very costly .

• How can we control private information?

But how about Virtual

Worlds?• Let’s see if we can test the EMH in

virtual worlds using data from EVE

Online, an online role-playing game set

in space!

• The following data and graphs are from two

sources:

1) CCP’s Quarterly Economic News Letter 3/2009

2) www.eve-markets.net – a website using huge

quantities of user submitted data to monitor market

trends.

The setting

We shall compare the factor prices of Bane

Torpedoes (BT) and Wrath Cruise

Missiles (WCM).

Both are ammunition for space warfare sold

in high quantities in the ingame market.

WCM BT

The setting for the

experiment

• On June 2009 CCP Launched a massive

campaign called The Unholy Rage

against real money traders.

• Approx. 2% of player accounts were

banned.

• Nice source of exogenous

variation, since Wrath Cruise Missiles

are popular among farmers

Unholy Rage

An example of a natural

experiment

• On July alone the price of a WCM

dropped slightly less than 20% (from

little over 150k isk to about 125k isk).

• During the same time the price of a BT

dropped about 9% (from 320k to 290k).

• Is this in line with the EMH?

An example of a natural

experiment

• Both products take the same time to

produce, require the same skills and

their inputs are readily available in the

market.

• Thus changing from producing one to

another shouldn’t cost the producer

anything.

An example of a natural

experiment

• Economic theory predicts that the price

of a product should be the sum of the

prices of its factor inputs.

• =>The price of a torpedo should be the

cost of the materials used plus some

compensation for the skills, time and

effort the player has put into producing

it.

An example of a natural

experiment• As the skill

requirements, building time

and other manufacturing

requirements for both BTs

and WCMs are equal, the

EMH should imply that any

difference in their price

should be completely due

to differences in material

costs.15.6.2010: See also the last slide of this

presentation

The timeline

• Unholy rage on July.

• On both May and August the price

development of both items was again

relatively stable – an indication of

markets clearing.

• Were the markets able to correctly

adjust to Unholy rage?

Calculations for the two

warheads

Wrath Cruise Missile Bane Torpedo

May

Unit price 160 isk

Materials 122 isk

Mark-up 38 isk

August

Unit price 130 isk

Materials 108 isk

Mark-up 22 isk

May

Unit price 340 isk

Materials 302 isk

Mark-up 37 isk

August

Unit price 290 isk

Materials 273 isk

Mark-up 17 isk

Results

• In May the difference in mark-ups is

tolerable (2,5%)

• But still after one month from the

sudden drop in Wrath Cruise Missile

prices Bane Torpedoes earned a mark-

up that is over 22% smaller compared to

the WMC mark-up.

Results

• We also calculated that compared to

building Bane Torpedoes, disassembling

them and turning them into Wrath

Cruise Missiles would have paid more in

both periods.

• However, arbitrage is not possible: the

latter still pays less than building Wrath

Cruise Missiles straight from raw

materials.

Summa summarum

• The markets at EVE do not seem to

react efficiently to second order shocks

(i.e. the way how the price of WCMs

affects the price of BTs).

• Does this generalize to real markets?

Hard to say.

• The opposite result would have

generalized better.

What else can be done with

natural experiments?

• There is no ready-made formula. You

just have to keep your eyes open.

• For business purposes, estimating the

demand curve for some product is one

classic example.

• Another possibly profitable application

how good substitutes or complements

two goods are

What else can be done with

natural experiments?

• Testing scientific models and

estimating model parameters that are

otherwise hard to pin down.

• Especially instrumental variable

regression has become popular in

economics.

• A good first read: Angrist & Krueger

(2001)

Relevant literature

On large games:

Al-Najjar, N. 2008: Large games and the law of large

numbers. Games Econ. Behav., 1-34.

Tolvanen, J. 2010: Approximating Competitive Games with a

Large Number of Players. Master’s thesis, University of

Helsinki.

Tolvanen, J. & Soultanis, E. 2010: Corrigendum and some

further notes on “Large games and the law of large

numbers” [Games Econ. Behav. 64 (2008), 1-34], Games

Econ. Behav., in review.

Relevant literature

Efficient market hypothesis:

Fama, E. 1970: Efficient Capital Markets: A Review of Theory

and Empirical Work. Journal of Finance 2, 383-417.

Natural experiments:

Angrist, J. & Krueger, A. 2001: Instrumental Variables and

the Search for Identification: From Supply and Demand

to Natural Experiments. Journal of Economic

Perspectives 4, 69-85.

A Correction

• After my talk I got an insightful comment from a

member of the audience regarding my example:

Assuming that the manufacturers maximize the money

earned per unit of time and that they are credit

constrained, then the fact that manufacturing a BT

costs more than 2 times the cost of a WCM should imply

that the markup on a BT should be more than 2 times

the markup on a WCM, since producing one BT ties 2

times the amount of capital compared to a WCM. This

of course turns the setting up side down – the

manufacturers are still using public information

inefficiently but now they are producing too many

WCMs which is opposite to the previous case where they

were producing too few.