Forgiving-Proof Equilibrium in Infinitely Repeated Games
-
Miguel Aramendia
, Luis Ruiz und Quan Wen
In repeated games, equilibrium often requires that any deviation be punished in the continuation, regardless of whether it is beneficial to the other players. It seems against the nature of non-cooperative game theory for the other players to decide what to do based on what one player did, rather than on the well-being of themselves. We introduce a new solution concept called a forgiving-proof equilibrium that recommends continuing as if nothing had happened after a player deviates without harming the others. A folk theorem is established to characterize the set of forgiving-proof equilibrium payoffs when players are sufficiently patient. The concept of forgiving-proof equilibrium significantly reduces the set of equilibrium outcomes in many repeated games.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
Artikel in diesem Heft
- Topics Article
- When Stackelberg and Cournot Equilibria Coincide
- Conflict and Consensus: A Theory of Control in Organisations
- Backward Integrated Information Gatekeepers and Independent Divisions in the Product Market
- Identification of Individual Demands from Market Data under Uncertainty
- On the Role of Uncertainty in the Risk-Incentives Tradeoff
- Time-to-Build and the Inverse U-Shape Investment-Uncertainty Relationship
- Revisiting Independence and Stochastic Dominance for Compound Lotteries
- On Competitive Equilibria with Asymmetric Information
- A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria
- Purchasing Power Parity with Strategic Markets
- Global vs. Local Information in (Anti-)Coordination Problems with Imitators
- Costly Evidence Production and the Limits of Verifiability
- Research Joint Ventures, Optimal Licensing, and the R&D Subsidy Policy
- Comparative Statics and Welfare in Heterogeneous All-Pay Auctions: Bribes, Caps, and Performance Thresholds
- Ex Post Private Information and Monopolistic Screening
- Passing the Buck in Sequential Negotiation
- Bidding Strategies for Simultaneous Ascending Auctions
- The Dirty Face Problem with Unawareness
- Cost Pass-Through under Delegation
- Contributions Article
- Empirical Implications of Information Structure in Finite Extensive Form Games
- Counter Marginalization of Information Rents: Implementing Negatively Correlated Compensation Schemes for Colluding Parties
- Forgiving-Proof Equilibrium in Infinitely Repeated Games
- A Categorical Model of Cognition and Biased Decision Making
- Mechanism Design with Moderate Evidence Cost
- Connectivity and Allocation Rule in a Directed Network
- Competing for Recognition through Public Good Provision
- Principal-Agent Problems with Exit Options
- Herd Behavior and Contagion in Financial Markets
- A Constructive Proof that Learning in Repeated Games Leads to Nash Equilibria
- Advances Article
- The Full Surplus Extraction Theorem with Hidden Actions
Artikel in diesem Heft
- Topics Article
- When Stackelberg and Cournot Equilibria Coincide
- Conflict and Consensus: A Theory of Control in Organisations
- Backward Integrated Information Gatekeepers and Independent Divisions in the Product Market
- Identification of Individual Demands from Market Data under Uncertainty
- On the Role of Uncertainty in the Risk-Incentives Tradeoff
- Time-to-Build and the Inverse U-Shape Investment-Uncertainty Relationship
- Revisiting Independence and Stochastic Dominance for Compound Lotteries
- On Competitive Equilibria with Asymmetric Information
- A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria
- Purchasing Power Parity with Strategic Markets
- Global vs. Local Information in (Anti-)Coordination Problems with Imitators
- Costly Evidence Production and the Limits of Verifiability
- Research Joint Ventures, Optimal Licensing, and the R&D Subsidy Policy
- Comparative Statics and Welfare in Heterogeneous All-Pay Auctions: Bribes, Caps, and Performance Thresholds
- Ex Post Private Information and Monopolistic Screening
- Passing the Buck in Sequential Negotiation
- Bidding Strategies for Simultaneous Ascending Auctions
- The Dirty Face Problem with Unawareness
- Cost Pass-Through under Delegation
- Contributions Article
- Empirical Implications of Information Structure in Finite Extensive Form Games
- Counter Marginalization of Information Rents: Implementing Negatively Correlated Compensation Schemes for Colluding Parties
- Forgiving-Proof Equilibrium in Infinitely Repeated Games
- A Categorical Model of Cognition and Biased Decision Making
- Mechanism Design with Moderate Evidence Cost
- Connectivity and Allocation Rule in a Directed Network
- Competing for Recognition through Public Good Provision
- Principal-Agent Problems with Exit Options
- Herd Behavior and Contagion in Financial Markets
- A Constructive Proof that Learning in Repeated Games Leads to Nash Equilibria
- Advances Article
- The Full Surplus Extraction Theorem with Hidden Actions