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Dynamic Bayesian Approach for Detecting Cheats in Multi-Player ...

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18 S.F. Yeung, John C.S. Lui<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

timeframe<br />

(a) honest player hc1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

timeframe<br />

(c) honest player ha1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

timeframe<br />

(e) honest player ha1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

timeframe<br />

(g) honest player hb1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

(b) cheater cc1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

timeframe<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

(d) cheater ca1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

timeframe<br />

Inferred probability of cheat<strong>in</strong>g<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

(f) cheater ca1<br />

probability (%)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

timeframe<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500<br />

(h) cheater cb1<br />

Inferred probability of cheat<strong>in</strong>g<br />

Fig. 8 Result of Experiment 3. Use different comb<strong>in</strong>ations of data set <strong>for</strong> tra<strong>in</strong><strong>in</strong>g and <strong>in</strong>ference. Learn session B and <strong>in</strong>fer session C: cheater<br />

(a) and honest player (b). Learn session B and <strong>in</strong>fer session A: cheater (c) and honest player (d). Learn session C and <strong>in</strong>fer session A: cheater (e)<br />

and honest player (f). Learn session C and <strong>in</strong>fer session B: cheater (g) and honest player (h).<br />

timeframe

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