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《Handbook of Game Theory with Economic Applications》Chapter 2 Games in extensive and strategic forms
Handbook of Game Theory with Economic Applications Chapter2 Games extensive forms
2009/4/3
《Handbook of Game Theory with Economic Applications》Chapter 2 Games in extensive and strategic forms.
Phenomenology of minority games in efficient regime
Minority game adaptive system Markov process de Bruijn graph
2010/11/1
We present a comprehensive study of utility function of the minority game in its efficient
regime. We develop an effective description of state of the game. For the payoff function
g(x) = sgn(x) we ...
The Existence of Equilibria in Discontinuous and Nonconvex Games
Nash equilibrium dominant strategy equilibrium discontinuity nonquasiconcavity nonconvexity
2010/7/2
This paper investigates the existence of pure strategy, dominant-strategy, and mixed strategy Nash equilibria in discontinuous and nonconvex games. We introduce a new notion of very weak continuity, c...
Existence of Equilibrium in Minimax Inequalities, Saddle Points, Fixed Points, and Games without Convexity Sets
minimax inequality saddle points fixed points coincidence points discontinuity non-quasiconcavity non-convexity non-compactness
2010/7/2
This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasi-concavity of functions and convexity or compactness of choice sets. A new condition, cal...
Multistep Bayesian strategy in coin-tossing games and its application to asset trading games in continuous time
Multistep Bayesian strategy coin-tossing games
2010/12/13
We study multistep Bayesian betting strategies in coin-tossing games in the framework of game-theoretic probability of Shafer and Vovk (2001). We show that by a countable mixture of these strategies, ...
In the Minority, Majority and Dollar Games (MG, MAJG, $G), synthetic agents compete for rewards, at each time-step acting in accord with the previously best-performing of their limited sets of strate...
Market response to external events and interventions in spherical minority games
Market response external events interventions spherical minority games
2010/12/17
We solve the dynamics of large spherical Minority Games (MG) in the presence of non-negligible time dependent external contributions to the overall market bid. The latter represent the actions of mar...
BSDEs with two RCLL Reflecting Obstacles driven by a Brownian Motion and Poisson Measure and related Mixed Zero-Sum Games
BSDEs RCLL Reflecting Obstacles driven Brownian Motion Poisson Measure related Mixed Zero-Sum Games
2010/12/17
In this paper we study Backward Stochastic Differential Equations with two reflecting right continuous with left limits obstacles (or barriers) when the noise is given by Brownian motion and a Poisson...