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Essays in game theory and mechanism design

Authors: Gavan, Malachy James;

Essays in game theory and mechanism design

Abstract

Aquesta tesi pretén comprendre les negociacions sobre el comportament que els agents tindran en un joc i, per separat, una implementació robusta. El capítol 1 examina els acords vinculants que resulten d’una negociació sobre què jugar en un joc, proposant un protocol de negociació i caracteritzant els resultats de l’acord mitjanant un perfeccionament del concepte Subgame Perfect Equilibrium. Aquesta caracterització depèn únicament de les característiques del joc i és fàcilment aplicable per a treballs futurs. Al capítol 2, jo, juntament amb Antonio Penta, introdueixo el concepte d’implementació segura, que limita les alternatives per a un dissenyador de mecanismes per controlar el comportament dels agents. Oferim les condicions necessàries i suficients i explorem diversos entorns on aquestes condicions es poden aplicar. Finalment, el capítol 3 revisa el concepte Coalitional Equilibrium de Ray i Vohra i mostra que un concepte de solució una mica més feble facilita substancialment l’existència. A més, la prova de l’existència pot donar cabuda a coalicions superposades.

This thesis aims to understand negotiations over the behaviour agents will take in a game and, separately, robust implementation. Chapter 1 examines the binding agreements that result from a negotiation over what to play in a strategic game. I propose a negotiation protocol and characterise the agreement outcomes for a refinement of Subgame Perfect Equilibrium. This characterisation depends solely on features of the game and is easily applicable for future work. In Chapter 2, I, along with Antonio Penta, introduce the concept of Safe Implementation, which limits the alternatives a mechanism designer can use to tame agents’ behaviour. We provide necessary and sufficient conditions and explore various environments where these conditions can be applied. Finally, Chapter 3 revisits Ray and Vohra’s Coalitional Equilibrium and shows that a slightly weaker solution concept makes existence substantially easier. Further, the proof of existence can accommodate overlapping coalitions.

Programa de doctorat en Economia, Finances i Empresa

Country
Spain
Keywords

Mechanism design, 33, Game theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green