Existence of Nash equilibrium is a key question investigated extensively in game theory. For two person zero-sum games with finite strategy sets, we have seen in the previous chapter, theminimax theorem, which establishes the existence of at least one mixed strategy equilibrium. John Nash, in ...
ExistenceofNashEquilibriuminDiscontinuousGames ∗ RabiaNessah † IESEGSchoolofManagement CNRS-LEM(UMR8179) 3ruedelaDigue 59000Lille-France GuoqiangTian ‡ DepartmentofEconomics TexasA&MUniversity CollegeStation,Texas77843 USA September,2013 Abstract Thispaperoffersanequilibriumexistencetheoremindiscontinuousgame...
(1992): The Maximum Theorem and the Existence of Nash Equi- librium of (Generalized) Games Without Lower Semicontinuities, Journal of Mathematical Analysis and Applications, 166, 351-364.Tian, G. and Zhou, J. The maximum theorem and the existence of Nash equilibrium of (gen- eralized) ...
The existence theorem of non-trivial Nash equilibrium (NE) for large economies is the main purpose of the paper. This theorem also implies (1) the existence of nontrivial NE for Walrasian preference games, and (2) the existence of NE allocations which are almost efficient. It is also shown...
Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions 热度: 2011 Financial Reporting Quality and Investment Efficiency of Private Firms in Emerging Markets 热度: Equilibrium analysis of pricing competition and cooperation in supply chain with one common...
Carbonell-Nicolau, O., McLean, R.P.: On the existence of Nash equilibrium in Bayesian games (2014). http://www.cireqmontreal.com/wp-content/uploads/2015/04/mclean.pdf Cornes, R., Hartley, R.: Asymmetric contests with general technologies. Econ. Theory 26(4), 923–946 (2005) Article...
In contrast, a bimatrix game may have no pure strategy Nash equilibrium (NE) even when every \\\(2 imes 2\\\) subgame has one. Nevertheless, Shapley's claim can be extended to bimatrix games as follows. We partition all \\\(2 imes 2\\\) bimatrix games into fifteen classes \\\...
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...
We study the existence of Nash equilibria in games with an infinite number of players. We show that there exists a Nash equilibrium in mixed strategies in all normal form games such that pure strategy sets are compact metric spaces and utility functions are continuous. The player set can be ...
In the next section we will show that the game G has a Nash equilibrium, which completes Proposition 1. This implies that the restrictions on X and Y in the cases of n=3 and n=4 as mentioned above, can be removed. Furthermore, the form of the unique Nash equilibrium in both of the...