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My qualifications
ResearchResearch interests
Game Theory
Research projects
Existence of Pure Strategy Nash Equilibrium and Choice of the Topology on the Joint Strategy SpaceAbstract:
Topological properties of normal-form games play a fundamental role in showing the existence of a Nash equilibrium. In particular, the literature has focused its attention on two characteristics of games that depend on the topology that the strategy space is equipped with: continuity and compactness. We show that in compact simple games it is always possible to change the topology on the joint strategy space to maintain its compactness while obtaining the continuity of players' payoff functions. Despite this, we show that Nash equilibria may not exist because other topological properties needed for existence may fail to hold. In particular, this is true for games that have discontinuity on the diagonal of the joint strategy space.
An Extension of the Imagined-continuum ModelAbstract:
Large games are appealing in economics because they rule out the possibility that a single agent can change the equilibria of the game by only changing her own action. Because of their complexity, these games were first studied in a static framework and extending them to a dynamic setting has proven to be somehow challenging if strong assumptions on the structure of the game want to be avoided. Kalai and Shmaya (2018) manage to do that considering the imagined-continuum model and this paper aims to extend their model by allowing the set of players to change in each period. A second aim of this paper is to refine their predictability result in theorem 1.
Research interests
Game Theory
Research projects
Abstract:
Topological properties of normal-form games play a fundamental role in showing the existence of a Nash equilibrium. In particular, the literature has focused its attention on two characteristics of games that depend on the topology that the strategy space is equipped with: continuity and compactness. We show that in compact simple games it is always possible to change the topology on the joint strategy space to maintain its compactness while obtaining the continuity of players' payoff functions. Despite this, we show that Nash equilibria may not exist because other topological properties needed for existence may fail to hold. In particular, this is true for games that have discontinuity on the diagonal of the joint strategy space.
Abstract:
Large games are appealing in economics because they rule out the possibility that a single agent can change the equilibria of the game by only changing her own action. Because of their complexity, these games were first studied in a static framework and extending them to a dynamic setting has proven to be somehow challenging if strong assumptions on the structure of the game want to be avoided. Kalai and Shmaya (2018) manage to do that considering the imagined-continuum model and this paper aims to extend their model by allowing the set of players to change in each period. A second aim of this paper is to refine their predictability result in theorem 1.
Teaching
Teaching Fellow
Academic Year 2020/2021
ECO1018: Principles of Microeconomics (Spring Semester, UG, 1st Year)
ECO2050: Economics of the Firm (Spring Semester, UG, 2nd Year)
Teaching Assistant
Academic Year 2020/2021
ECO3038: Topics in Microeconomics (Autumn Semester, UG, 3rd Year)
ECO3011: Games Markets and Information (Autumn Semester, UG, 3rd Year)
ECO2048: Economic Analysis with Matrices (Autumn Semester, UG, 2nd Year)
Academic Year 2019/2020
ECO1020: Statistics for Economics (Spring Semester, UG, 1st Year)
ECO3038: Topics in Microeconomics (Spring Semester, UG, 3rd Year)
ECO3011: Games Markets and Information (Autumn Semester, UG, 3rd Year)
ECO3042: International Trade (Autumn Semester, UG, 3rd Year)
Academic Year 2018/2019
ECO1005: Mathematics for Economics (Spring Semester, UG, 1st Year)
ECO1020: Statistics for Economics (Spring Semester, UG, 1st Year)
ECO3011: Games Markets and Information (Autumn Semester, UG, 3rd Year)
Academic Year 2017/2018
ECO1017: Economic Data Analysis (Autumn Semester, UG, 1st Year)
ECO1005: Mathematics for Economics (Spring Semester, UG, 1st Year)
ECO1018: Principles of Microeconomics (Spring Semester, UG, 1st Year)