A legislature has 100 seats. In a winner-take-all district system, party A wins 51% of votes in every single district and takes all 100 seats; party B wins 49% in every district and takes none. In a proportional representation system, party B would win roughly 49 seats. The winner-take-all outcome illustrates:
AA failure of democracy, since party A's dominance violates one person one vote
BThat formal voting equality (one person one vote) can coexist with substantive representational inequality — nearly half the electorate has zero legislative representation
CThe correct functioning of majority rule — the majority should govern
DGerrymandering, since uniform outcomes across districts are impossible without manipulation
This scenario has no gerrymandering — the uniform vote splits occur naturally. Yet 49% of voters are entirely unrepresented. This illustrates the gap between formal political equality (each vote is counted once) and substantive representational equality (each bloc of voters has some proportional voice). The choice between electoral systems embeds a normative choice about what 'representation' means — aggregate majority outcomes or proportional reflection of opinion diversity.
Question 2 Multiple Choice
Edmund Burke's trustee model of representation holds that elected officials should:
AMirror constituent preferences as faithfully as possible, acting as delegates who transmit rather than interpret
BFollow party leadership instructions, since parties represent the broader coalition that elected them
CExercise their own honest judgment about the common good, even when this conflicts with constituent preferences
DPoll constituents on every major vote and vote accordingly
Burke's trustee model is the classical argument that constituents elect a representative for their judgment, not to create a mirror image of public opinion. Representatives owe constituents their best reasoning about the common good — not mere preference-aggregation. This contrasts with the delegate model (option A), where the representative's role is to transmit constituent wishes faithfully. Most actual legislators blend both roles situationally, but the philosophical tension between them is real and shapes debates about representative legitimacy.
Question 3 True / False
Arrow's impossibility theorem implies that some mathematically desirable fairness properties of voting systems cannot all be satisfied simultaneously by any voting procedure.
TTrue
FFalse
Answer: True
Arrow's theorem proves that no voting system with more than two options can simultaneously satisfy all of: Pareto efficiency, independence of irrelevant alternatives, and non-dictatorship. This is not a practical limitation that might be resolved by a cleverer system — it is a mathematical impossibility result. Its implication for democratic theory is that every voting system involves a principled tradeoff: there is no uniquely 'fair' procedure, and the choice between systems embeds normative commitments about which fairness properties matter most.
Question 4 True / False
The delegate model of representation — where representatives faithfully transmit constituent preferences — is the universally accepted theory of what elected officials owe voters.
TTrue
FFalse
Answer: False
The delegate vs. trustee debate is genuinely contested in political philosophy and in practice. Burke's trustee model argues representatives owe constituents their independent judgment, not preference-mirroring. Most democratic theorists and actual legislators see a hybrid: delegates on high-salience, voter-aware issues; trustees on technical, low-visibility matters. Neither model commands universal acceptance, and the tension between them reflects a deeper disagreement about the nature of political representation itself.
Question 5 Short Answer
What is 'rational ignorance' in the context of voting, and why does it suggest that formal political equality may not translate into equally informed political participation?
Think about your answer, then reveal below.
Model answer: Rational ignorance is the phenomenon where individual voters have weak incentives to invest in political information, because a single vote is almost never decisive in any real election. If the expected benefit of being a better-informed voter (my vote shifts the outcome with probability ~1 in a million) is less than the cost (hours of research), a rational agent will remain ignorant. The result is a systematically underinformed electorate — not due to voter failure, but due to the logic of individual rationality. Formal political equality (one person, one vote) does not correct this: all votes are counted equally, but voters who invest in information shape political discourse and candidate selection in ways that raw vote-counting does not.
This is one reason why critics of majority rule argue that raw vote-counting fails to ensure equal political influence. Organized groups with strong stakes in particular policies invest heavily in information and lobbying; diffuse electorates rationally remain uninformed. The asymmetry in political knowledge and engagement maps onto asymmetries in political power, even when the formal voting rules are scrupulously equal.