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Social choice theory for sharper group decisions

Social choice theory studies how individual preferences become collective decisions. It gives Nicolas its frame as a practical decision tool shaped by the limits of simple majority rule, ordinal rankings, strategic voting, and mechanism design.

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Mechanism Design

Learn what mechanism design is, why incentives and information matter, and how Nicolas fits into that field.

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Quadratic Costs

Learn how quadratic costs work in Nicolas, why stronger vote intensity gets progressively more expensive, and how voice credits bound each vote.

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Liquid Quadratic Voting

Learn how liquid quadratic voting combines finite voice credits, delegation, signed vote intensity, and quadratic costs.

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Group Decision-Making Biases

Learn the group decision-making biases that can distort consensus, polls, meetings, and governance signals.

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Abilene Paradox

Learn how the Abilene paradox makes groups choose outcomes nobody wants, and how explicit voting can surface dissent.

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Preference Falsification

Learn how preference falsification hides true views in group decisions and why explicit dissent signals matter.

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Spiral of Silence

Learn how the spiral of silence suppresses minority views and why decision tools need visible dissent signals.

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Group Polarization

Learn how group polarization can push decisions toward extremes and how explicit voting records help inspect intensity.

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Bandwagon Effect

Learn how the bandwagon effect shapes group decisions and why explicit preference-intensity voting can help.

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Groupthink

Learn how groupthink suppresses dissent in group decisions and why explicit preference-intensity signals matter.

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Pluralistic Ignorance

Learn how pluralistic ignorance makes groups misread private beliefs and why visible preference signals help.

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Collective Action Problem

Learn what collective action problems are, why they affect governance, and how explicit decision signals help groups coordinate.

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Free-Rider Problem

Learn how the free-rider problem affects shared projects, public goods, DAOs, and governance decisions.

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Tragedy of the Commons

Learn how the tragedy of the commons affects shared resources and why governance needs clear decision signals.

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Prisoner's Dilemma

Learn how the prisoner's dilemma explains cooperation failures and why governance needs stronger coordination signals.

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Volunteer's Dilemma

Learn how the volunteer's dilemma explains why groups wait for someone else to take costly action.

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Tyranny of Small Decisions

Learn how many small choices can create unwanted collective outcomes and why groups need explicit priorities.

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Bounded Rationality

Learn how bounded rationality shapes group decisions when people face limited time, information, and attention.

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Nash Equilibrium

Learn what Nash equilibrium means in game theory and why stable incentives matter for collective decisions.

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Arrow's Impossibility Theorem

Learn what Arrow's impossibility theorem says about ranked preferences, fairness conditions, and voting systems.

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Gibbard-Satterthwaite Theorem

Learn why the Gibbard-Satterthwaite theorem matters for strategic voting, manipulation, and mechanism design.

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Median Voter Theorem

Learn when the median voter theorem gives a positive result for majority rule and why its assumptions matter.

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Condorcet Jury Theorem

Learn what the Condorcet jury theorem says about group accuracy, competence, independence, and majority decisions.

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VCG Mechanism

Learn what the VCG mechanism is, why truthful revelation matters, and how Nicolas differs from VCG.

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Why social choice belongs here

Nicolas asks participants to allocate finite voice credits, records positive and negative vote intensity, supports delegation, and displays quadratic cost accounting.

Social choice theory explains why no voting rule is magic, why assumptions matter, and why different mechanisms reveal different information.

How to use these pages

The theorem explainers describe each result, the problem it exposes, and what it implies for practical collective decision-making.

They do not claim that Nicolas solves every impossibility theorem. They clarify what Nicolas optimizes for, including measurable preference intensity, transparent costs, delegation, and inspectable outcomes.

Related reading

Continue with the mechanism ideas behind Nicolas decisions.

Quadratic votingLearn how Nicolas measures preference intensity with finite voice budgets.Compare voting methodsCompare quadratic voting with ranked-choice, approval, and dot voting.

FAQ

Does Nicolas solve Arrow's theorem?

No. Nicolas uses a different kind of input, costly vote intensity, rather than claiming to solve Arrow's theorem for ordinal rankings.

Is this academic content or product content?

Both. The pages explain social choice concepts while connecting them to practical decisions where Nicolas can help.

How can readers use the theorem pages?

Use them as guardrails. They show why decision rules have tradeoffs, then explain how Nicolas chooses a different input model with costly preference intensity under a finite budget.