WebGame theory is the study of mathematical models of strategic interactions among rational agents. It has applications in all fields of social science, as well as in logic, systems science and computer science.Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. Webwith xˆ0 >xˆ and ˆy0 >yˆ that still satisfies the budget constraint, i.e., such that pxˆx0 +pyyˆ0 ≤M.(just pick (ˆx 0,yˆ ) sufficiently close to (ˆx,yˆ)) But, given the monotonicity of u,the bundle (ˆx0,yˆ0) provides a higher utility than the bundle (ˆx,yˆ).Therefore the consumer in the optimum will never choose a bundle (ˆx,yˆ) such that pxxˆ0 +pyyˆ0
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