The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked
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Bettina Klaus
We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the previous analysis of the problem is the so-called uniform rule. Thomson (1995b) proved that the uniform rule is the only rule satisfying Pareto optimality, no-envy, one-sided population-monotonicity, and replication-invariance. Replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform rule (Thomson, 1997a). Until now, the independence of replication-invariance from the other properties in these characterizations was an open problem. In this note we prove this independence by means of a single example.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Artikel in diesem Heft
- Topics Article
- Endogenous Investment and Pricing under Uncertainty
- Information Revelation in Markets with Pairwise Meetings: Complete Revelation in Dynamic Analysis
- Optimal Screening by Risk-Averse Principals
- Coordination under the Shadow of Career Concerns
- The Optimal Accuracy Level in Asymmetric Contests
- The Fragmentation of Reputation
- Sharing Risk Efficiently under Suboptimal Punishments for Defection
- Advice from Multiple Experts: A Comparison of Simultaneous, Sequential, and Hierarchical Communication
- Contractual Incompleteness for External Risks
- On Delegation in Contests and the Survival of Payoff Maximizing Behavior
- Optimal Quality Scores in Sponsored Search Auctions: Full Extraction of Advertisers' Surplus
- A Theory of Credibility under Commitment
- Communication Breakdown: Consultation or Delegation from an Expert with Uncertain Bias
- Social Learning in Social Networks
- A Note on the Multidimensional Monopolist Problem and Intertemporal Price Discrimination
- A Note on Rationalizability and Restrictions on Beliefs
- Vote or Shout
- Asymmetry and Collusion in Sequential Procurement: A "Large Lot Last" Policy
- Status, Inequality and Intertemporal Choice
- Designing the Efficient Information-Processing Organization
- Ensuring Quality Provision through Capacity Regulation under Price Competition
- Successive Oligopolies and Decreasing Returns
- Advice by an Informed Intermediary: Can You Trust Your Broker?
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- Non-Bayesian Learning
- Markets versus Negotiations: The Predominance of Centralized Markets
- Crime Reporting: Profiling and Neighbourhood Observation
- Endogenous Two-Sided Markets with Repeated Transactions
- Position Auctions with Budgets: Existence and Uniqueness
- Walrasian Equilibrium and Reputation under Imperfect Public Monitoring
- Price Regulation under Demand Uncertainty
- Linear Demand Systems are Inconsistent with Discrete Choice
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- Kinked-Demand Equilibria and Weak Duopoly in the Hotelling Model of Horizontal Differentiation
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- Bad Government Can Be Good Politics: Political Reputation, Negative Campaigning, and Strategic Shirking
- Equilibrium Social Hierarchies: A Non-Cooperative Ordinal Status Game
- Bertrand Competition in Markets with Fixed Costs
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