Publication: Valores monótonos para juegos con cooperación imperfecta
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2022-01-11
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Universidad Complutense de Madrid
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Abstract
La Teoría de Juegos adquiere cada vez mayor relevancia en el mundo actual. El éxito durante las últimas décadas y el interés que despierta esta disciplina es algo que visto con perspectiva parece deberse a su utilidad y versatilidad en el análisis de la toma de decisiones estratégicas. Crece constantemente la variedad de escenarios en los que el ser humano ha empezado a darse cuenta de que tenía que pensar formal y sistemáticamente sobre las interacciones estratégicas. En los últimos tiempos, esta área de las matemáticas y de la economía ha recibido un gran respaldo por parte del mundo académico, al recibir el Premio Nobel de Economía numerosos investigadores en Teoría de Juegos. Existen dos categorías claramente diferenciadas en la Teoría de Juegos que nacen de la naturaleza del juego que se estudie. Se encuentra por un lado la de los juegos no cooperativos, y por otro, la de los cooperativos, siendo estos últimos el marco de la presente memoria. Dicha diferenciación se lleva a cabo, en función de sí es permitida, o no, la cooperación entre los agentes del juego. Los resultados que obtendremos en este trabajo tienden un puente entre ambos tipos de juegos...
In last decades, game theory has become increasingly popular. Its usefulness in the analysis of strategic decision making have provided it a great success, so many researchers have focused their attention on this versatile tool. In the eld of analysis of strategic decision making, the variety of scenarios constantly grows. Hence, scientistshave realized the need for a formal and systematic modeling of strategic interactions. In last times, this area of mathematics and economics has received a great deal of support from the academic world. For example, many game theory experts have received the Nobel Price.In the eld of game theory, two categories can be clearly dierentiated. Both depend on the nature of the problem addressed. One of these categories is about noncooperativegames. On the other hand, we contemplate the case of cooperative games,which is the framework of this report. This classication is carried out depending on whether cooperation between the agents of the game is allowed or not...
In last decades, game theory has become increasingly popular. Its usefulness in the analysis of strategic decision making have provided it a great success, so many researchers have focused their attention on this versatile tool. In the eld of analysis of strategic decision making, the variety of scenarios constantly grows. Hence, scientistshave realized the need for a formal and systematic modeling of strategic interactions. In last times, this area of mathematics and economics has received a great deal of support from the academic world. For example, many game theory experts have received the Nobel Price.In the eld of game theory, two categories can be clearly dierentiated. Both depend on the nature of the problem addressed. One of these categories is about noncooperativegames. On the other hand, we contemplate the case of cooperative games,which is the framework of this report. This classication is carried out depending on whether cooperation between the agents of the game is allowed or not...
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Tesis inédita de la Universidad Complutense de Madrid, Facultad de Estudios Estadísticos, Departamento de Estadística y Ciencia de los Datos, leída el 20-10-2021