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An infinite game is approximated by restricting the players to finite subsets of their pure strategy spaces. A strategic approximation of an infinite game is a countable subset of pure strategies with the property that limits of all equilibria of all sequences of approximating games whose finite...
Persistent link: https://www.econbiz.de/10013149336
This paper introduces the notion of mixed leadership in non-zero-sum differential games, where there is no fixed hierarchy in decision making with respect to the players. Whether a particular player is leader or follower depends on the instrument variable s/he is controlling, and it is possible...
Persistent link: https://www.econbiz.de/10014046271
number of applications are discussed. The selection of the risk dominant equilibrium in 2x2 games is generalized to the …
Persistent link: https://www.econbiz.de/10014208412
extreme case in which each agent pays half of the cost, there is a unique equilibrium. We also show that, as usual in the …
Persistent link: https://www.econbiz.de/10004964044
The main objects here are Nash equilibria in spatial Cournot oligopolies when profits depend on coordinated distribution. Production is non-cooperative, but the subsequent transportation must be performed jointly to minimize costs. Cournot-Nash equilibria for this two-stage game with partial...
Persistent link: https://www.econbiz.de/10004964051
In this paper we consider dynamic processes, in repeated games, that are subject to the natural informational restriction of uncoupledness. We study the almost sure convergence to Nash equilibria, and present a number of possibility and impossibility results. Basically, we show that if in...
Persistent link: https://www.econbiz.de/10005827501
of a Nash equilibrium in social games with continuous strategy spaces. Recently, Polowczuk and Radzik (2004) have …
Persistent link: https://www.econbiz.de/10008520853
This short paper isolates a non-trivial class of games for which there exists a monotone relation between the size of pure strategy spaces and the number of pure Nash equilibria (Theorem). This class is that of two-player nice games, i.e., games with compact real intervals as strategy spaces and...
Persistent link: https://www.econbiz.de/10008520865
This paper presents two new results on the enumeration of all extreme equilibria of the sequence form of a two person extensive game. The sequence form of an extensive game is expressed, for the first time to our knowledge, as a parametric linear 0 - 1 program. Considering Ext(P) as the set of...
Persistent link: https://www.econbiz.de/10008475660
Using the Lefschetz fixed point theorem, a pure strategy Nash equilibrium existence theorem is established for a class …
Persistent link: https://www.econbiz.de/10004997747