Author: Guilherme Carmona
Publisher: World Scientific
ISBN: 9814390658
Category : Business & Economics
Languages : en
Pages : 153
Book Description
The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field. Book jacket.
Existence and Stability of Nash Equilibrium
Author: Guilherme Carmona
Publisher: World Scientific
ISBN: 9814390658
Category : Business & Economics
Languages : en
Pages : 153
Book Description
The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field. Book jacket.
Publisher: World Scientific
ISBN: 9814390658
Category : Business & Economics
Languages : en
Pages : 153
Book Description
The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field. Book jacket.
The Existence of Equilibrium in Discontinuous Games
Author: Partha Dasgupta
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The Existence of Equilibrium in Discontinuous Economic Games
Author: Partha Dasgupta
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 0
Book Description
The Existence of Equilibrium in Discontinuous Economic Games
Author: London School of Economics and Political Science
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 0
Book Description
The existence of equilibrium in discontinuous Economic games, 2
Author: Partha Dasgupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs
Author: Rupert Gatti
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
This paper generalises the approach taken by Dasgupta & Maskin (1986) and Simon (1989) and provides necessary and sufficient conditions for the existence of pure and mixed strategy Nash equilibrium in games with continuous strategy spaces and discontinuous payoff functions. The conditions can be applied widely, and examples for existence of pure strategy and monotonic equilibria in First-Price auctions are provided. The conditions are also appropriate for ensuring that computer generated equilibrium solutions can be extended to continuous strategy spaces.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
This paper generalises the approach taken by Dasgupta & Maskin (1986) and Simon (1989) and provides necessary and sufficient conditions for the existence of pure and mixed strategy Nash equilibrium in games with continuous strategy spaces and discontinuous payoff functions. The conditions can be applied widely, and examples for existence of pure strategy and monotonic equilibria in First-Price auctions are provided. The conditions are also appropriate for ensuring that computer generated equilibrium solutions can be extended to continuous strategy spaces.
The existence of equilibrium in discontinuous economic games, 1
Author: Partha Dasgupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Essays on the Existence of Equilibria in Games
Author: Idione Meneghel
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 35
Book Description
"The question of existence of a Nash equilibrium is one of the most important questions in game theory. This thesis aims to advance our understanding of the question in two broad directions: 1) by providing weaker sets of sufficient conditions; and 2) by introducing novel techniques, which allow for straightforward proofs and results that give new economic insights. Discontinuous games: This project considers the existence problem in games in which strategy sets are compact and convex, but preferences of the players are represented by numerical functions that may not be continuous. One way to show existence of equilibrium in such games is to apply the 'better reply security' logic, introduced by Reny (1999), combined with some form of quasiconcavity of utility functions. As long as players have securing strategies that are robust to other players' small deviations, one can show that the game has an equilibrium. The novelty of the techniques used relies in combining three main ideas: 1) a local continuous selection of each player's strict upper contour set; 2) the idea of activating different players locally; and 3) a weak notion of convexity of preferences. Bayesian games: Games of incomplete information have been shown to apply to a huge variety of economic, political and other social interactions. Still, the question of existence of equilibria in such games has been largely dealt with on a case-by-case basis. That is, given a particular game with incomplete information, one has to find the equilibrium to prove that it exists. The reason is that the usual tools to prove existence (continuous and quasiconcave payoffs defined on convex and compact strategy sets) do not apply to the general framework of games with incomplete information. This project investigates sufficient conditions for the existence of pure-strategy Nash equilibrium in games of incomplete information. The assumption of nonatomicity of the distribution of types allows for an analysis that does not require convexity assumptions on action spaces and/or payoff functions"--Pages iv-v.
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 35
Book Description
"The question of existence of a Nash equilibrium is one of the most important questions in game theory. This thesis aims to advance our understanding of the question in two broad directions: 1) by providing weaker sets of sufficient conditions; and 2) by introducing novel techniques, which allow for straightforward proofs and results that give new economic insights. Discontinuous games: This project considers the existence problem in games in which strategy sets are compact and convex, but preferences of the players are represented by numerical functions that may not be continuous. One way to show existence of equilibrium in such games is to apply the 'better reply security' logic, introduced by Reny (1999), combined with some form of quasiconcavity of utility functions. As long as players have securing strategies that are robust to other players' small deviations, one can show that the game has an equilibrium. The novelty of the techniques used relies in combining three main ideas: 1) a local continuous selection of each player's strict upper contour set; 2) the idea of activating different players locally; and 3) a weak notion of convexity of preferences. Bayesian games: Games of incomplete information have been shown to apply to a huge variety of economic, political and other social interactions. Still, the question of existence of equilibria in such games has been largely dealt with on a case-by-case basis. That is, given a particular game with incomplete information, one has to find the equilibrium to prove that it exists. The reason is that the usual tools to prove existence (continuous and quasiconcave payoffs defined on convex and compact strategy sets) do not apply to the general framework of games with incomplete information. This project investigates sufficient conditions for the existence of pure-strategy Nash equilibrium in games of incomplete information. The assumption of nonatomicity of the distribution of types allows for an analysis that does not require convexity assumptions on action spaces and/or payoff functions"--Pages iv-v.
Local Payoff Security and the Existence of Nash Equilibrium in Discontinuous Games
Author: Philip J. Reny
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 12
Book Description
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 12
Book Description
A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs
Author: John Rupert James Gatti
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 28
Book Description
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 28
Book Description