Volume 4 • Issue 2 • PP: 01 –08 • 2024
Rethinking Strategic Perception: Foundations and Advancements in HyperGame Theory and SuperHyperGame Theory
Open Access & Copyright
© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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Mathematical structures can generally be extended into Hyperstructures and SuperHyperstructures by leveraging powerset and n-th iterated powerset constructions (cf.7, 17, 31). These frameworks are particularly effective for representing hierarchical systems across various conceptual domains. Game Theory is a mathematical discipline for analyzing strategic interactions among rational agents with conflicting or cooperative objectives and finite choices.5, 10, 26 HyperGame Theory extends this by modeling situations in which players possess misperceptions or differing beliefs about the game being played.23 These ideas can be further generalized into the concept of SuperHyperGames.15 This paper explores the mathematical properties and illustrative examples of both HyperGame Theory and SuperHyperGame Theory. We hope that this investigation contributes to future developments in the theory and application of game-theoretic frameworks.
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References
[1] M. El-Atrash, “Greedy codes over Zp,” Journal of Al- Hadbaa University College, 2000.
[2] Mohammed El-Atrash, “Linearity of binary greedy codes,” The Islamic University Journal, vol. 8, no. 2, Part 2, Jun. 2000.
[3] M. El-Atrash et al., “Linear codes over the ring Z4 using an almost greedy algorithm,” Islamic University Journal, vol. 11, no. 1, 2003.
[4] J. H. Conway and N. J. A. Sloane, “Lexicographic codes: Error-correcting codes from game theory,” IEEE Transactions on Information Theory, vol. IT-32, pp. 337–348, 1986.
[5] R. Brualdi and V. Pless, “Greedy codes,” Journal of Combinatorial Theory, Series A, vol. 64, pp. 10–30, 1993.
[6] L. Monroe, “Binary greedy codes,” Congressus Numerantium, vol. 104, pp. 49–63, 1994.
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