Special Mathematics Lecture

Contact:
Serge Richard (richard@math.nagoya-u.ac.jp), Rm. 247 in Sci. Bldg. A

Game Theory (Spring 2025)

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Registration code : 0053621
Schedule : Wednesday (18.30 - 20.00) in room 207 of Science Building A and on Zoom

• Syllabus : here

• SML official rule : See here

• NUEMI : Link to the website

• Class dates :
  April 16 (in room 222 of Science Building A), 23, 30
  May 7, 14, 21, 28
  June 4, 11, 18, 25
  July 2, 9, 16
  

• Program (tentative) :
  1) Preliminaries
  2) Strategic games
  3) Extensive games
  4) Games with incomplete information
  5) Cooperative games
  6) Evolutionary game theory
  

• Lecture notes : (updated on a regular basis)
  The cumulative notes
  

• Weekly summaries :
  1, 2,

• Study sessions :
  Will be organized on an individual basis by some international students

• Evaluation :
  You need to submit the solutions of some exercises and/or the proofs of some statements. These submissions can take place at any time during the semester. If you have any question, contact me or the TA Qiuling Low

• Student's reports :
  On binary relations, by Hideto Tsubouchi
  Lexicograpic order and utility function, by Ding Muyan
  

• References : (electronic version available upon request)
  [DK] Game theory: a playful introduction, M. DeVos, Matt; D. Kent, AMS, 2016.
  [GGF] An introductory course on mathematical game theory and applications, J. González-Díaz, I. García-Jurado, M. Gloria Fiestras-Janeiro, AMS, 2023.
  [KP] Game theory, alive, A. Karlin, Y. Peres, AMS, 2017.
  [K] Notes on the theory of choice, D. Kreps, Westview Press, 1998.
  [LRS] Mathematical foundations of game theory, R. Laraki, J. Renault, S. Sorin, Springer, 2019.
  [M] Mathematical game theory and applications, V. Mazalov, Wiley, 2014.
  [OR] A course in game theory, M. Osborne, A. Rubinstein, MIT Press, 1994.
  [PR] Some topics in two-person games. T. Parthasarathy, T.E.S. Raghavan, American Elsevier Publishing, 1971.
  [S] Game theory and strategy, P. Straffin, Mathematical Association of America, 1993.
  [W] Game theory: decisions, interaction and evolution, J. Webb, Springer-Verlag, 2007.