## Title data

Hoffmeister, Susanne ; Rambau, Jörg:

**Strategy optimization in beachvolleyball : applying a two scale approach to the olympic games.**

2017

*Event:* MathSport International 2017 Conference
, 26.-28.06.2017
, Padua (Italy).

(Conference item: Conference
,
Speech
)

## Related URLs

## Abstract in another language

Our two scale approach uses two connected Markov Decision Problems (MDPs) to give strategy recommendations for the olympic final in beachvolleyball. The approach relies only on the individual player skills that are estimated from analyzing video records of the pre final matches. In the more detailed MDP, called gameplay MDP, these skills are used to simulate the outcome of serves and field attacks for a certain pairing of teams. Nearly every thinkable team strategy can be implemented and simulated. After knowing the probability for a direct point and fault after a serve or field attack, it is possible to determine the strategy with the highest winning probability. For this purpose a second, more aggregated MDP is used. When using perfect knowlegde about the final match, that means, we use a strategy that is similar to the strategy in the final match and skills estimated from the final match, we can estimate the outcome of serves and field attacks with an average absolute error of three percentage points. Furthermore, we derived analytical bounds for the simulated probabilities in terms of the individual player skills. They are evaluated and compared with the simulation results of the men’s olympic final. In order to give an overview of the optimal strategy for varying opponents performance and the own form on the day, we invented skill-strategy-score cards. They tell at a glance how sensitive the optimal strategy is.

## Further data

Item Type: | Conference item (Speech) |
---|---|

Refereed: | Yes |

Keywords: | Markov Decision Processes; Sport Strategy Optimization; Skills |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Research Institutions Research Institutions > Research Centres |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 18 Jan 2018 08:13 |

Last Modified: | 18 Jan 2018 08:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/41691 |