Book chapter
Implementing and solving games with best payoff method
Manuel Ferreira (Ferreira, M. A. M.); Maria Cristina Peixoto de Matos (Matos, M. C.);
Book Title
Theory and practice of mathematics and computer science
Year (definitive publication)
2020
Language
English
Country
India
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Abstract
It is our intention, in this chapter, to propose and discuss the Best Payoff Method, a new method to resolve games. This is made exemplifying the application of the method to a pay raise voting game, that is a perfect information sequential game, without having yet formulated it, and then deploying the algorithm for its implementation. In the next examples we consider an imperfect information game and a game with random characteristics. We finish confronting the equilibrium concepts mentioned in this work: Subgame Perfect Nash Equilibrium, Nash Equilibrium, and Best Payoff Equilibrium through the formulation of some conjectures, and with a short conclusions section.
Acknowledgements
This work is financed by national funds through FCT -Fundação para a Ciência e Tecnologia, I.P., under the projects UIDB/04466/2020 and UIDB/MULTI/04016/ 2020. Furthermore, the authors thank the Instituto Universitário de Lisboa and ISTAR-IUL, and ...
Keywords
Best payoff method,Perfect information game,Imperfect information game,Selection process game
  • Mathematics - Natural Sciences
  • Computer and Information Sciences - Natural Sciences
Funding Records
Funding Reference Funding Entity
UIDB/04466/2020 FCT-Fundação para a Ciência e Tecnologia, I.P.
UIDB/MULTI/04016/ 2020 FCT-Fundação para a Ciência e Tecnologia, I.P.

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