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Strict Concavity of the Value Function for a Family of Dynamic Accumulation Models
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Eugenio S.A. Bobenrieth
Published/Copyright:
April 20, 2012
We prove strict concavity of the value function for liquidity constrained dynamic accumulation models without adopting at least one of the following restrictive assumptions: zero response of productive effort, bounded marginal value of accumulated balances, or strictly convex cost of holding accumulated balances. Thus we extend well known theoretical results to more general models of saving with liquidity constraints and of commodity storage with non-negativity constraints on stocks. Our results provide a foundation for estimation of a homogeneous markovian process for consumption in models of saving, or for price in commodity storage models, under more realistic assumptions.
Published Online: 2012-4-20
©2012 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Advances Article
- Seller Cheap Talk in Almost Common Value Auction
- Strategic Effects of Renegotiation-Proof Contracts
- Contributions Article
- Uniquely Representing "A Preference for Uniformity"
- An Experimental Comparison of Sequential First- and Second-Price Auctions with Synergies
- Transparency, Career Concerns, and Incentives for Acquiring Expertise
- Career Concerns and Performance Reporting in Optimal Incentive Contracts
- Two Notes on the Blotto Game
- The Tennis Coach Problem: A Game-Theoretic and Experimental Study
- Multidimensional Product Differentiation with Discrete Characteristics
- Screening and Financial Contracting in the Face of Outside Competition
- On Rationalizability and Beliefs in Discrete Private-Value First-Price Auctions
- Commitment versus Flexibility in Enforcement Games
- Endogenous Preferences and Dynamic Contract Design
- Intergenerational Interactions in Human Capital Accumulation
- Behavior-Based Price Discrimination by a Patient Seller
- Altruism and Local Interaction
- Education Signaling with Uncertain Returns
- An Axiomatic Approach to Arbitration and its Application in Bargaining Games
- Consensual and Conflictual Democratization
- Topics Article
- Preference for Variety
- Information Theory and Observational Limitations in Decision Making
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- A Folk Theorem for Games when Frequent Monitoring Decreases Noise
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