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Optimal bookmaking

Author

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  • Lorig, Matthew
  • Zhou, Zhou
  • Zou, Bin

Abstract

We introduce a general framework for continuous-time betting markets, in which a bookmaker can dynamically control the prices of bets on outcomes of random events. In turn, the prices set by the bookmaker affect the rate or intensity of bets placed by gamblers. The bookmaker seeks an optimal price process that maximizes his expected (utility of) terminal wealth. We obtain explicit solutions or characterizations to the bookmaker’s optimal bookmaking problem in various interesting models.

Suggested Citation

  • Lorig, Matthew & Zhou, Zhou & Zou, Bin, 2021. "Optimal bookmaking," European Journal of Operational Research, Elsevier, vol. 295(2), pages 560-574.
    • Handle: RePEc:eee:ejores:v:295:y:2021:i:2:p:560-574
    DOI: 10.1016/j.ejor.2021.03.005
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    References listed on IDEAS

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