Strategy-Proof Voting: Approximations and Possibilities
Explore the concept of approximately strategy-proof voting through models and constructions, aiming to prevent manipulation while ensuring fair outcomes. Discuss the challenges and potential methods to circumvent manipulations based on Gibbard-Satterthwaite theorems. Delve into defining approximatio
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Social Welfare and Voting Systems
Explore the concept of social welfare in decision-making, including Arrow's Impossibility Theorem, Gibbard-Satterthwaite Theorem, VCG mechanism, and competitive prices for positions. Learn about collective decision-making for elections, restaurant choices, and more, using various voting methods like
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Social Choice and Welfare Functions in Decision Making
Explore the concepts of social choice and welfare functions in decision-making, including Arrow's and Gibbard-Satterthwaite theorems, VCG+CPP mechanism, majority voting, scoring rules, and the Condorcet paradox.
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Advanced Psychological Statistics: Two-Sample Z-Test and T-Test Overview
Explore the concepts of two-sample Z-test and t-test in advanced psychological statistics, covering assumptions, calculations, and hypotheses. Understand the importance of pooled variance estimates and Satterthwaite's approximation for degrees of freedom.
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