2 research outputs found

    The quantum Monty Hall problem

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    Treballs Finals de Grau de FĂ­sica, Facultat de FĂ­sica, Universitat de Barcelona, Curs: 2019, Tutor: Miquel Montero TorralboWe consider a variation of the Monty Hall problem and we present a quantum version of it in which the quiz show master does not know where the prize is and can accidentally reveal it. We prove that if the quiz show master is allowed to play quantum and the player is not the game becomes a fair game in contrast with the classical version of the gam

    Jocs cooperatius i problemes de bancarrota

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    Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Pere Calleja i Josep Vives i Santa Eulàlia[en] Cooperative game theory is the study of mathematical models of cooperation, in transferable utility games the players face the challenge to split up some good among them using cooperation. This essay is an introduction to the existing link between cooperative game theory and the so called rationing problems or bankruptcy problems. This problem is based in using division rules to allocate a quantity of good among some creditors taking into account that the sum of the claims exceeds the quantity available to allocate. We will prove that the Shapley value (Shapley 1953) and the Nucleous (Schmeidler 1969) of the cooperative game associated to the bankruptcy problem corresponds to the random arrival rule (O’Neill 1982) and the Talmud rule (Aumann and Maschler 1985) of the bankruptcy problem respectively
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