Article
Licensed
Unlicensed
Requires Authentication
Uniform Proofs of Order Independence for Various Strategy Elimination Procedures
-
Krzysztof R. Apt
Published/Copyright:
September 27, 2004
We provide elementary and uniform proofs of order independence for various strategy elimination procedures for finite strategic games, both for dominance by pure and by mixed strategies. The proofs follow the same pattern and focus on the structural properties of the dominance relations. They rely on Newman's Lemma established in 1942 and related results on the abstract reduction systems.
Published Online: 2004-9-27
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Advances Article
- Policy Advice with Imperfectly Informed Experts
- Backward Induction and Model Deterioration
- Contributions Article
- Search and Bargaining in Large Markets With Homogeneous Traders
- To Make or Buy: An Allocation of Attention
- A Simple Inducement Scheme to Overcome Adoption Externalities
- Optimal Dynamic Portfolio Risk with First-Order and Second-Order Predictability
- Uniform Proofs of Order Independence for Various Strategy Elimination Procedures
- Players With Limited Memory
- Precedents and Timing: A Strategic Analysis of Multi-Plaintiff Litigation
- Optimal Auctions with Endogenous Entry
- Topics Article
- Multiple-Object Auctions Around a Circle
- Market Size and Vertical Equilibrium in the Context of Successive Cournot Oligopolies
- Trade and Linked Exchange; Price Discrimination Through Transaction Bundling
- A Sequential Signaling Model of the Sale of an Invention to an Oligopolist
- Vertical Differentiation, Asymmetric Information and Endogenous Bank Screening
- Patent Renewal Fees and Self-Funding Patent Offices
- Imitation and Long Run Outcomes
- Counterfactual Reasoning and Common Knowledge of Rationality in Normal Form Games
- Unraveling of Information: Competition and Uncertainty
- A Theory of Vague Expected Utility
- Sequential Decision-Making and Asymmetric Equilibria: An Application to Takeovers
Articles in the same Issue
- Advances Article
- Policy Advice with Imperfectly Informed Experts
- Backward Induction and Model Deterioration
- Contributions Article
- Search and Bargaining in Large Markets With Homogeneous Traders
- To Make or Buy: An Allocation of Attention
- A Simple Inducement Scheme to Overcome Adoption Externalities
- Optimal Dynamic Portfolio Risk with First-Order and Second-Order Predictability
- Uniform Proofs of Order Independence for Various Strategy Elimination Procedures
- Players With Limited Memory
- Precedents and Timing: A Strategic Analysis of Multi-Plaintiff Litigation
- Optimal Auctions with Endogenous Entry
- Topics Article
- Multiple-Object Auctions Around a Circle
- Market Size and Vertical Equilibrium in the Context of Successive Cournot Oligopolies
- Trade and Linked Exchange; Price Discrimination Through Transaction Bundling
- A Sequential Signaling Model of the Sale of an Invention to an Oligopolist
- Vertical Differentiation, Asymmetric Information and Endogenous Bank Screening
- Patent Renewal Fees and Self-Funding Patent Offices
- Imitation and Long Run Outcomes
- Counterfactual Reasoning and Common Knowledge of Rationality in Normal Form Games
- Unraveling of Information: Competition and Uncertainty
- A Theory of Vague Expected Utility
- Sequential Decision-Making and Asymmetric Equilibria: An Application to Takeovers