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Truels and strategies for survival
Mohsen Dorraki1,2, Andrew Allison3,4, Derek Abbott3,4
1School of Electrical & Electronic Engineering, University of Adelaide, Adelaide, South Australia, 5005, Australia. mohsen.dorraki@adelaide.edu.au.
Scientific Reports
|June 22, 2019
Summary
In the three-player truel game, the weakest player can improve survival by randomly switching between suicidal and abstention strategies. Randomly targeting opponents offers a narrow survival window that diminishes with less discriminate firing.
Area of Science:
- Game Theory
- Mathematical Modeling
- Probability Theory
Background:
- The truel is a three-player game generalizing the classic duel, where players are eliminated sequentially.
- Player marksmanship, shooting order, and target selection strategies significantly impact survival probability.
- Previous research analyzed strategies like abstention and targeting the strongest or weakest opponents.
Purpose of the Study:
- To analyze novel suicidal and random targeting strategies for the weakest player in a truel.
- To determine if these new strategies can enhance the weakest player's survival probability.
Main Methods:
- Mathematical analysis of player elimination probabilities.
- Modeling of various target selection strategies, including suicidal and random approaches.
- Comparison of survival probabilities across different strategic choices for the weakest player.
Main Results:
- No optimal region exists for a purely suicidal strategy for the weakest player.
- Randomly switching between suicidal and abstention strategies can increase the weakest player's survival.
- A limited survival area exists for the weakest player using random targeting, which shrinks with less discriminate firing.
Conclusions:
- Novel strategies, particularly random combinations of suicidal and abstention tactics, offer potential survival advantages for the weakest player in a truel.
- Random targeting strategies have a limited and diminishing impact on survival probability.
- The study expands the strategic analysis of multi-player elimination games.
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