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Australia's Gambling Industries - Productivity Commission

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Figure C.3<br />

Consumer surplus for problem and recreational gamblers<br />

Price<br />

Problem gamblers<br />

Recreational gamblers<br />

Price<br />

a<br />

p<br />

b<br />

d<br />

Dpa<br />

Dp<br />

c<br />

Do<br />

q q q<br />

pa<br />

p<br />

o<br />

Accounting for tax and problem gamblers<br />

The impact of taxation for problem and recreational gamblers is explored in more<br />

detail in figure C.4. For recreational gamblers, the situation is the same as that<br />

described in figure C.2, with the benefit being estimated as the areas a and b, being<br />

respectively the surplus retained by consumers and the tax transfer to government.<br />

Figure C.4<br />

Consumer surplus and tax: problem and recreational gamblers<br />

Price<br />

Problem gamblers<br />

Recreational gamblers<br />

Price<br />

a 1<br />

p(1+t)<br />

a2<br />

a<br />

p<br />

b1<br />

b 2<br />

e<br />

c<br />

f<br />

d<br />

Dp<br />

b<br />

c<br />

Do<br />

q q q q<br />

1<br />

q<br />

0 2 3 q<br />

o<br />

1<br />

For problem gamblers, the calculation is more complex. As developed previously,<br />

problem gamblers are seen as having two relevant demand schedules. The first (D p )<br />

representing their observed demand, and a second ‘non-compulsive’ demand<br />

schedule representing their assumed demand if they did not gamble compulsively. In<br />

the absence of tax, ‘observed’ demand would be q 3 while their non-problem level of<br />

demand would be q 1 . A surplus of a 2 +b 1 +b 2 would accrue to the consumer, to be<br />

offset against the ‘negative’ surplus of the areas c+d.<br />

C.12 GAMBLING

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