Yu. A. Dorofeeva, P. L. Osipova, “Modeling of negotiations for two and three players”, Taurida Journal of Computer Science Theory and Mathematics, 2022, Issue 1,Pages <nobr>7

Modeling of negotiations for two and three players

Yu. A. Dorofeeva^a, P. L. Osipova^b

^a ITMO University, Scientific and Educational Center of Mathematics, avenue. Kronverksky, 49 letter A, Saint Petersburg, 197101, Russian Federation
^b Petrozavodsk State University, Institute of Mathematics and Information Technology, avenue. Lenina,33, Petrozavodsk, 185910, Russian Federation

Abstract: The paper considers the problem of modeling negotiations for two and three players. two tasks have been solved. the first problem is investigated with using the nash arbitration scheme. the results of numerical simulation are presented and the dependence of the negotiation period on the simulation parameters is shown. the second problem is a simulation for three players with the participation of an arbitrator. the peculiarity of this scenario is the limited “work” of the arbitrator. the results of numerical simulation are also presented in this paper.

Keywords: game theory, arbitration scheme, optimality equation, negotiations, Nash equilibrium, random proposal, arbiter, competition modeling.

UDC: 519.83

MSC: 91A40

Language: English