Antagonistic One-To-N Stochastic Duel Game
This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/7/1114 |
| _version_ | 1797563187591118848 |
|---|---|
| author | Song-Kyoo (Amang) Kim |
| author_facet | Song-Kyoo (Amang) Kim |
| author_sort | Song-Kyoo (Amang) Kim |
| collection | DOAJ |
| description | This paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the first exceed theory. The model could be directly applied into real-world situations and an analogue of the theory in the paper is designed for solving the best shooting time for hitting all other players at once which optimizes the payoff function under random time conditions. It also mathematically explains to build the marketing strategies for the entry timing for both blue and red ocean markets. |
| first_indexed | 2024-03-10T18:40:03Z |
| format | Article |
| id | doaj.art-e058bbfc5fe84ee1b2581ef0184631a7 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:40:03Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e058bbfc5fe84ee1b2581ef0184631a72023-11-20T05:59:04ZengMDPI AGMathematics2227-73902020-07-0187111410.3390/math8071114Antagonistic One-To-N Stochastic Duel GameSong-Kyoo (Amang) Kim0School of Applied Sciences, Macao Polytechnic Institute, MacaoThis paper is dealing with a multiple person game model under the antagonistic duel type setup. The unique multiple person duel game with the one-shooting-to-kill-all condition is analytically solved and the explicit formulas are obtained to determine the time dependent duel game model by using the first exceed theory. The model could be directly applied into real-world situations and an analogue of the theory in the paper is designed for solving the best shooting time for hitting all other players at once which optimizes the payoff function under random time conditions. It also mathematically explains to build the marketing strategies for the entry timing for both blue and red ocean markets.https://www.mdpi.com/2227-7390/8/7/1114duel gamemultiple person gamestochastic modelfluctuation theorystrategic choicetime dependent game |
| spellingShingle | Song-Kyoo (Amang) Kim Antagonistic One-To-N Stochastic Duel Game Mathematics duel game multiple person game stochastic model fluctuation theory strategic choice time dependent game |
| title | Antagonistic One-To-N Stochastic Duel Game |
| title_full | Antagonistic One-To-N Stochastic Duel Game |
| title_fullStr | Antagonistic One-To-N Stochastic Duel Game |
| title_full_unstemmed | Antagonistic One-To-N Stochastic Duel Game |
| title_short | Antagonistic One-To-N Stochastic Duel Game |
| title_sort | antagonistic one to n stochastic duel game |
| topic | duel game multiple person game stochastic model fluctuation theory strategic choice time dependent game |
| url | https://www.mdpi.com/2227-7390/8/7/1114 |
| work_keys_str_mv | AT songkyooamangkim antagonisticonetonstochasticduelgame |