Game of strokes: Optimal & conversion strategy algorithms with simulations & application
Strategic decision-making for sequential move games requires rationality and continuity of rationality to guarantee maximum payoffs at all nodes/stages/levels. Rationality and continuity of rationality in a player's behaviour are not often observed and/or maintained thus, leading to less optima...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023102817 |
| _version_ | 1797383895275012096 |
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| author | David Iheke Okorie Joel Miworse Gnatchiglo |
| author_facet | David Iheke Okorie Joel Miworse Gnatchiglo |
| author_sort | David Iheke Okorie |
| collection | DOAJ |
| description | Strategic decision-making for sequential move games requires rationality and continuity of rationality to guarantee maximum payoffs at all nodes/stages/levels. Rationality and continuity of rationality in a player's behaviour are not often observed and/or maintained thus, leading to less optimal outcomes. More so, the belief in an opponent's rationality, on the other hand, co-determines the level of effort a player employs while making strategic decisions. Given irrationality and discontinuity of rationality in a sequential move game with mover advantages, there are strategic steps (algorithms) to convert and/or maintain the mover advantages of an irrational player. In this paper, the conversion strategy algorithms, as well as the optimal strategy algorithms, are developed using the Beta Limit Sum (BLS) strategy model and the game of strokes. The simulation exercises confirm that the BLS strategy model is an optimal solution for the finite sequential game of strokes. One of the key applications of these strategies is that of resource economics like environmental resources (clean water, air & land). These are public goods, as such, the optimal strategy entails that the community cooperates (as one entity) and takes the same actions or strategy to maintain a healthy and clean state of the communal environmental resources. |
| first_indexed | 2024-03-08T21:27:37Z |
| format | Article |
| id | doaj.art-d9af6eafc55c456ab54b38ecbbc90abf |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-08T21:27:37Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-d9af6eafc55c456ab54b38ecbbc90abf2023-12-21T07:35:40ZengElsevierHeliyon2405-84402023-12-01912e23073Game of strokes: Optimal & conversion strategy algorithms with simulations & applicationDavid Iheke Okorie0Joel Miworse Gnatchiglo1Hangzhou City University (HZCU), Hangzhou, China; University of Waikato, Management School, School of Accounting, Finance and Economics, Hamilton, New Zealand; Centre for the Study of the Economies of Africa (CSEA), Nigeria; SD Consulting Agency (SCA), Nigeria; Center for African Department Strategy (CFADS), Monrovia, Liberia; Corresponding author. Hangzhou City University (HZCU), Hangzhou, China.Center for African Department Strategy (CFADS), Monrovia, LiberiaStrategic decision-making for sequential move games requires rationality and continuity of rationality to guarantee maximum payoffs at all nodes/stages/levels. Rationality and continuity of rationality in a player's behaviour are not often observed and/or maintained thus, leading to less optimal outcomes. More so, the belief in an opponent's rationality, on the other hand, co-determines the level of effort a player employs while making strategic decisions. Given irrationality and discontinuity of rationality in a sequential move game with mover advantages, there are strategic steps (algorithms) to convert and/or maintain the mover advantages of an irrational player. In this paper, the conversion strategy algorithms, as well as the optimal strategy algorithms, are developed using the Beta Limit Sum (BLS) strategy model and the game of strokes. The simulation exercises confirm that the BLS strategy model is an optimal solution for the finite sequential game of strokes. One of the key applications of these strategies is that of resource economics like environmental resources (clean water, air & land). These are public goods, as such, the optimal strategy entails that the community cooperates (as one entity) and takes the same actions or strategy to maintain a healthy and clean state of the communal environmental resources.http://www.sciencedirect.com/science/article/pii/S2405844023102817Sequential gamesContinuity of rationalityOptimal strategyMover advantages conversionEnergyEnvironmental resources |
| spellingShingle | David Iheke Okorie Joel Miworse Gnatchiglo Game of strokes: Optimal & conversion strategy algorithms with simulations & application Heliyon Sequential games Continuity of rationality Optimal strategy Mover advantages conversion Energy Environmental resources |
| title | Game of strokes: Optimal & conversion strategy algorithms with simulations & application |
| title_full | Game of strokes: Optimal & conversion strategy algorithms with simulations & application |
| title_fullStr | Game of strokes: Optimal & conversion strategy algorithms with simulations & application |
| title_full_unstemmed | Game of strokes: Optimal & conversion strategy algorithms with simulations & application |
| title_short | Game of strokes: Optimal & conversion strategy algorithms with simulations & application |
| title_sort | game of strokes optimal amp conversion strategy algorithms with simulations amp application |
| topic | Sequential games Continuity of rationality Optimal strategy Mover advantages conversion Energy Environmental resources |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023102817 |
| work_keys_str_mv | AT davidihekeokorie gameofstrokesoptimalampconversionstrategyalgorithmswithsimulationsampapplication AT joelmiworsegnatchiglo gameofstrokesoptimalampconversionstrategyalgorithmswithsimulationsampapplication |