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Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of drawing and shifting curves in the plane and is,...
Persistent link: https://www.econbiz.de/10005607526
In this paper we consider the location of the eigenvalues of the composite matrix ( -A S1 S2 ) ( Q1 At 0 ) ( Q2 0 At ) , where the matrices Si and Qi are assumed to be semi-positive definite. Two interesting observations, which are not or only partially mentioned in literature before, challenge...
Persistent link: https://www.econbiz.de/10011087121
In this paper we characterize the subgame perfect Nash equilibria of a location-then-price game where firms first choose locations and after that compete for prices in two subsequent periods. Locations are thus seen as long term commitments. There are two types of consumers, each with different...
Persistent link: https://www.econbiz.de/10011087127
Рассмотрены две теоретико-игровых модели конфликтов между агентами в слабоструктурированной ситуации. В качестве представления знаний агентов о ситуации...
Persistent link: https://www.econbiz.de/10011237992
A long-standing question in biology and economics is whether individual organisms evolve to behave as if they were striving to maximize some goal function. We here formalize the \as if" question in a patch-structured population in which individuals obtain material payoffs from (perhaps very...
Persistent link: https://www.econbiz.de/10011240607
A long-standing question in biology and economics is whether individual organisms evolve to behave as if they were striving to maximize some goal function. We here formalize the \as if" question in a patch-structured population in which individuals obtain material payoffs from (perhaps very...
Persistent link: https://www.econbiz.de/10011240626
This paper presents the “Game Theory Explorer” software tool to create and analyze games as models of strategic …
Persistent link: https://www.econbiz.de/10011151411
may be used for advanced graduate courses ¡ª in game theory, economics, mathematics, computer science, engineering ¡ª and …> </li> </ul> <br> <b>Readership:</b> Graduate students and researchers in game theory, economic theory, econometrics …
Persistent link: https://www.econbiz.de/10011156379
papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of … the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include … implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as …
Persistent link: https://www.econbiz.de/10011010976
theory is a useful set of tools for better understanding different risk settings. Embedded in a short history of the Basel … Accord in this article we introduce some basic ideas of game theory in the context of rating procedures in accordance with … Basel II. As well, some insight is given how game theory works. Here, the primary value of game theory stems from its focus …
Persistent link: https://www.econbiz.de/10011011022