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<Para ID="Par1">The intrinsic comparative dynamics of locally differentiable feedback Stackelberg equilibria are derived for the ubiquitous class of autonomous and exponentially discounted infinite horizon differential games. It is shown that the follower’s intrinsic comparative dynamics agree in their form...</para>
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The envelope theorem is extended to cover the class of discounted and autonomous infinite horizon differential games that possess locally differentiable Nash equilibria. The theorems cover open-loop and feedback information structures and are applied to an analytically solvable linear-quadratic...
Persistent link: https://www.econbiz.de/10010849063
Frequently controls forming Nash equilibria in differential games are not Pareto optimal. This paper presents conditions that can be used to show the existence of strict Pareto improvements of Nash equilibria in such games. The conditions are based on standard tools in control theory. Copyright...
Persistent link: https://www.econbiz.de/10010950521
The present paper considers the exploitation of a common-property, nonrenewable resource, by individuals concerned with their social status. Assuming that the social status is reflected by the individuals’ relative consumptions, we formalize this motivation by means of a utility function,...
Persistent link: https://www.econbiz.de/10011001884
We establish the existence of Nash equilibria in a large class of differential games. More specifically, we show that certain differential games are compact and better reply secure when the strategy space is equipped with the weak topology. Therefore, we can claim that such games must have Nash...
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