
Partial order and lattice formalize the idea of direction of movement. Correspondence and fixed point provide the mathematical underpinning for best choices and equilibrium. A lattice game is a strategic game in which players have lattice action spaces. Foundations of monotone games are set in this framework. Concepts from the theory of normal form games provide the tools to analyze and predict outcomes in lattice games. The theory of lattice games develops these ideas and a diversity of examples highlights their applications.
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