In a zero-sum game, what is the significance of the initial state or resources of the players?

We further relate these properties of the Nash solutions for these two games to some of the distinct features of zero-sum games and team problems. Previous ... Mar 27, 2020 ... ... based on what's in front of you? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for ... On a broader scale (and with a possible abuse of terminology), we can view two-player zero-sum games as constituting a special sub-class of two-player nonzero- ... Jun 15, 2016 ... ... information to their visitors are more likely to win in this zero sum game. Those that are unorganized or silent are more likely to lose ... They showed that in the case of a zero-sum game, the only Nash equilibrium payoff of the repeated game is the value of the stage-game. Thus, although the ... Jul 28, 2022 ... Finite zero-sum games always have an equilibrium on common prior information structures (Mertens, Sorin, and Zamir (2015)) that depends only on ... Jun 29, 2021 ... We define the distance between two information structures as the largest possible difference in value across all zero-sum games. We provide a ... MATHEMATICS OF OPERATIONS RESEARCH. Vol. 11, No. 4, November 1986. Printed in U.S.A.. A ZERO-SUM GAME WITH INCOMPLETE INFORMATION. AND COMPACT ACTION SPACES ... – Only one player has private information, and it does not change. – The game is two-player and zero-sum. – Each agent cares about their long-term average ... Oct 7, 2020 ... Thus, this is the equilibrium payoff of this zero-sum game. Proof of Theorem 2. Let v = MZ(u), and define a strategy σ of Designer 1 as follows.