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tfg_llull_machi_victoria.pdf (706.98 KB)

Document type

Bachelor thesis

Publication date

2023-06-13

Publication license

cc-by-nc-nd (c) Victoria Llull Machí, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/203101

Juegos en forma estratégica

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Abstract

[en] This thesis consists on an analysis of the decision-making problems, focusing on strategic games. We will start by looking at the basic concepts of Game Theory and some classifications. Next, we will focus on simultaneous games and will take a deep look into strategies, Nash Equilibrium and dominance in order to solve this type of games. Moreover, by looking at the Theory of the focal point we will be able to remark some solutions. Also, we will demonstrate the existence of an equilibrium by looking at the Fixed Point Theorem of Kakutani and the Nash Theorem, then mixed strategies are used to prove it in finite games. By using all the concepts viewed through the thesis, we will end up with an analysis of sequential games. Along the thesis we will give a wide variety of examples to get a better understanding of the concepts and see their scope and utility in Game Theory. Among them, we will find typical examples such as the prisoner dilemma, the auctions or oligopolies.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Josep Vives i Santa Eulàlia i Carmen Florit i Selma

Subject

Presa de decisions, Treballs de fi de grau, Teoria de jocs, Jocs d'estratègia (Matemàtica), Teoria del punt fix

Subject (English)

Decision making, Bachelor's theses, Game theory, Games of strategy (Mathematics), Fixed point theory

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Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

LLULL MACHÍ, Victoria. Juegos en forma estratégica. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/203101

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