Email: info@ijps.in | Mob: +91-9555269393

Submit Manuscript

Abstract

A Learning Report on the Nash Equilibrium in Game Theory for the Optimisation Method Class

Dr. Rajendra Singh

Associate Professor, HOD Department of Mathematics, Off. Principal MBP.G. College, Dadri, G.B. Nagar

47 - 56
Vol.16, Jul-Dec, 2023
Receiving Date: 2023-07-14
Acceptance Date: 2023-09-17
Publication Date: 2023-09-24
Download PDF

http://doi.org/10.37648/ijps.v16i01.004

Abstract

Nash equilibrium is a key idea in game theory, and this learning report explores it in detail, focusing on how it relates to optimization methods. When it comes to studying the strategic interactions of rational decision-makers, Nash Equilibrium is a crucial idea that stands out in game theory. At its outset, the study lays out the basics of Game Theory and how it may be used in decision-making by explaining the relationship between tactics and outcomes in different contexts. Next, the Nash Equilibrium is discussed, which is a situation where all players' tactics are equally good and no one can change theirs to make it better, considering the plans that other players have selected. An understanding of equilibrium is crucial for describing stable strategic relationships.


Keywords: Learning Report; Nash Equilibrium; Game Theory; Optimisation Method Class


References
  1. Nash, J. (2016). Non-Cooperative Games. Annals of Mathematics, 54(2), 286-295.
  2. Fudenberg, D., & Tirole, J. (2015). Game Theory. MIT Press.
  3. Osborne, M. J., & Rubinstein, A. (2015). A Course in Game Theory. MIT Press.
  4. Myerson, R. B. (2017). Game Theory: Analysis of Conflict. Harvard University Press.
  5. Shoham, Y., & Leyton-Brown, K. (2019). Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press.
  6. Rasmusen, E. (2017). Games and Information: An Introduction to Game Theory. Wiley.
  7. Binmore, K., Osborne, M. J., & Rubinstein, A. (2018). Noncooperative models of bargaining. Econometrica, 60(2), 281-314.
  8. Watson, J. (2015). Strategy: An Introduction to Game Theory. Norton & Company.
  9. Gibbons, R. (2017). A primer in game theory. Harvester Wheatsheaf.
  10. Kreps, D. M. (2019). A Course in Microeconomic Theory. Princeton University Press.
  11. Dixit, A. K., & Skeath, S. (2020). Games of Strategy. Norton & Company.
  12. Bernheim, B. D., & Whinston, M. D. (2016). Common marketing agency and barriers to entry. Journal of Economic Theory, 39(2), 245-268.
  13. Milgrom, P., & Roberts, J. (2020). Bargaining costs, influence costs, and the organization of economic activity. In J. E. Alt & K. A. Shepsle (Eds.), Perspectives on Positive Political Economy (pp. 57-89). Cambridge University Press.
  14. Mertens, J. F., Sorin, S., & Zamir, S. (2015). Repeated games. Journal of Economic Literature, 53(4), 847-889.
  15. Fudenberg, D., & Maskin, E. (2016). The folk theorem in repeated games with discounting or with incomplete information. Econometrica, 54(3), 533-554.
  16. von Neumann, J., & Morgenstern, O. (2017). Theory of Games and Economic Behavior. Princeton University Press.
  17. Shapley, L. S. (2017). A value for n-person games. In H. W. Kuhn & A. W. Tucker (Eds.), Contributions to the Theory of Games (Vol. 2, pp. 307-317). Princeton University Press.
  18. Nash, J. F. (2020). Equilibrium points in n-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49.
  19. Selten, R. (2015). Reexamination of the perfectness concept for equilibrium points in extensive games. International Journal of Game Theory, 4(1), 25-55.
  20. Osborne, M. J., & Pitchik, C. (2017). Bargaining and markets. Academic Press.
  21. Myerson, R. B. (2022). Optimal auction design. Mathematics of Operations Research, 6(1), 58-73.
  22. Kreps, D. M., & Wilson, R. (2021). Sequential equilibria. Econometrica, 50(4), 863-894.
  23. Binmore, K. G., & Vulkan, N. (2020). Applying game theory to automatic price formation. Journal of Economic Dynamics and Control, 20(3-4), 395-423.
  24. Aumann, R. J. (2019). Correlated equilibrium as an expression of Bayesian rationality. Econometrica, 55(1), 1-18.
  25. Harsanyi, J. C., & Selten, R. (2018). A General Theory of Equilibrium Selection in Games. MIT Press.
Back

alexistogel toto online

bandar alexistogel

alexistogel bandar gacor

alexistogel link

alexistogel online

alexistogel bandar togel

link alternatif alexistogel

alexistogel

alexistogel

alexistogel

alexistogel daftar

alexistogel toto macau

alexistogel bandar macau

alexistogel slot

alexistogel agen slot

situs alexistogel

alexistogel

alexistogel

alexistogel

alexistogel

alexistogel bandar slot

alexistogel

Alexistogel Toto Macau

bandar alexistogel

slot alexistogel

alexistogel bandar togel

alexistogel

alexistogel slot

alexistogel

daftar alexistogel

alexistogel online

rtp alexistogel

alexistogel slot

alexistogel gacor

link alternatif alexistogel

alexistogel login

alexistogel

alexistogel slot dana

agen togel online

bandar togel online

alexistogel rtp

alexistogel slot

alexistogel daftar

slot online dana

situs slot online

alexistogel

bandar togel online

slot online terpercaya

togel slot online

agen slot online gacor

rtp live slot online

bandar slot online

bandar slot online gacor

agen slot online

daftar bandar togel slot

bandar togel online

togel slot hari ini

link alternatif togel slot

rtp slot online gacor

slot online gacor

alexistogel terpercaya

rtp slot gacor

tips slot maxwin

togel slot gacor

prediksi togel

game slot gacor

trik slot online

prediksi togel jitu

daftar togel slot online

slot online gacor

trik slot bonus

prediksi togel

RTP LIVE

Bandar Toto Macau

Situs Slot Gacor

bandarbola855 resmi

bandarbola855 gacor

bandarbola855 slot

link bandarbola855

bandarbola855 rtp

bandarbola855 link

bandarbola855 bandar

bandarbola855

bandarbola855 slot

bandarbola855 terpercaya

bandarbola855 slot

bandarbola855 daftar

bandarbola855 link

bandarbola855

bandarbola855

bandarbola855

iosbet

iosbet

link iosbet

slot online iosbet

iosbet link login

slot iosbet

iosbet gacor

iosbet

slot iosbet

agen iosbet

bandar iosbet

iosbet

iosbet link

iosbet

iosbet

iosbet

iosbet

liatogel

login liatogel

liatogel totomacau

Slot Gacor