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Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are close to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...
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Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.
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. The framework dates back to Ericson and Pakes [1995. Review of Economic Studies 62, 53–82], but it is based on equilibrium … start with an introduction to iterative techniques for computing equilibrium that are analogous to the techniques used to … computational burden of these techniques, and the mechanism implicitly used to select an equilibrium when multiple equilibria are …
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assumptions are satisfied, but no Nash equilibrium exists. This finding reinforces that certain additional conditions appearing in … the literature (primarily, the lower hemicontinuity of feasibility correspondences) are indispensable for equilibrium …
Persistent link: https://www.econbiz.de/10012833623
cases where additionally, some variables may be strategic complements. The main result here is that the equilibrium set in … such models is a non-empty, complete lattice, if, and only if, there is a unique equilibrium. Indeed, for a given parameter … techniques for exhibiting increasing equilibria or computing equilibria that use the largest or smallest equilibrium, or that use …
Persistent link: https://www.econbiz.de/10012824357
We present a new approach to studying equilibrium dynamics in a class of stochastic games with a continuum of players … with private types and strategic complementarities. We introduce a suitable equilibrium concept, called Markov Stationary … Nash Distributional Equilibrium (MSNDE), prove its existence, and determine comparative statics of equilibrium paths and …
Persistent link: https://www.econbiz.de/10013273776
We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games, and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at "ties." These games include a general version of all-pay contests,...
Persistent link: https://www.econbiz.de/10013289844
admissible prices. We introduce a new equilibrium concept, called quantity constrained equilibrium (QCE), giving a unified …. Moreover, the set contains for every commodity a generalized Dreze equilibrium, being a QCE at which for that commodity no … binding trade opportunities on both supply and demand are expected, and also a generalized supply-constrained equilibrium at …
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