## Abstract

We analyze a game between three players: two Athletes and an Inspector. Two athletes compete with each other and both may cheat to increase their chances of victory. The Inspector wishes to detect incidents of cheating, and performs tests on athletes to detect cheating. The test is costly for the Inspector. Both probability of cheating and that of testing decrease as cost of inspection diminishes.

## Keywords

Inspection Cheating Doping Contest## Notes

### Acknowledgements

We would like to thank Yair Tauman, Pradeep Dubey, Yuval Heller, Limor Hatsor, Hanna Halaburda, and Chang Zhao for the helpful comments and discussions.

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