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FILSAFAT KORUPSI - Direktori File UPI

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are members of different networks, and he receives a correct signal.<br />

Therefore, γ = (<br />

N−1<br />

N<br />

)(1 − µ), so<br />

∂γ<br />

∂N<br />

= (<br />

1<br />

N<br />

2<br />

)(1 − µ) > 0.<br />

24<br />

This is quite intuitive: it says that in a more segmented society, a<br />

larger fraction of randomly selected pairs of clients are members of dif-<br />

ferent networks; so, officials will more frequently be able to successfully<br />

demand bribes - as long as mistakes are infrequent.<br />

Lemma 5.3. If all pairs of clients play the “linked” strategy and all<br />

officials play the “believe the signal” strategy, then transfer frequency<br />

will be lower in a less integrated society, that is,<br />

∂λ<br />

∂N<br />

< 0<br />

Proof: If all players follow the specified strategies, officials will be trans-<br />

ferred when two things happen: an official faces a pair of clients who<br />

are members of the same network, and receives an incorrect signal, so<br />

he demands bribes and, (to his surprise), faces coordinated opposition<br />

(complaints). Therefore, λ = (<br />

1<br />

N<br />

)µ, so<br />

∂λ<br />

∂N<br />

= (−<br />

1<br />

N<br />

2<br />

)µ < 0.<br />

Proposition 3. Suppose that (5) holds. There exists µ<br />

∗<br />

> 0 such that,<br />

for all µ < µ<br />

∗<br />

, there exists a Perfect Bayesian equilibrium in which<br />

officials all play the “believe the signal” strategy and the clients all play<br />

the “linked” strategy. In this equilibrium,<br />

∂γ<br />

∂N<br />

> 0<br />

and<br />

∂λ<br />

∂N<br />

< 0<br />

129<br />

Page 26

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