Article
Licensed
Unlicensed
Requires Authentication
Two Notes on the Blotto Game
-
Jonathan Weinstein
Published/Copyright:
March 15, 2012
We exhibit a new equilibrium of the classic Blotto game in which players allocate one unit of resources among three coordinates and try to defeat their opponent in two out of three. It is well known that a mixed strategy will be an equilibrium strategy if the marginal distribution on each coordinate is U[0,(2/3)]. All classic examples of such distributions have two-dimensional support. Here we exhibit a distribution which has one-dimensional support and is simpler to describe than previous examples. The construction generalizes to give one-dimensional distributions with the same property in higher-dimensional simplices as well.As our second note, we give some results on the equilibrium payoffs when the game is modified so that players have unequal budgets. Our results suggest a criterion for equilibrium selection in the original symmetric game, in terms of robustness with respect to a small asymmetry in resources.
Keywords: Blotto; zero-sum games
Published Online: 2012-3-15
©2012 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
- 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
- Strict Concavity of the Value Function for a Family of Dynamic Accumulation Models
- A Folk Theorem for Games when Frequent Monitoring Decreases Noise
- Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information
- Correlation in the Multiplayer Electronic Mail Game
- Dominance Solvability of Large k-Price Auctions
- Treading a Fine Line: Characterisations and Impossibilities for Liberal Principles in Infinitely-Lived Societies
- An Axiomatization of Learning Rules when Counterfactuals are not Observed
- On a Notion of Similarity with Endowments in Public Economics
- Outsourcing and Downstream R&D under Economies of Scale
- On Communication and the Weak Sequential Core
- Asymmetric Single-peaked Preferences
- Revealing Private Information in Bargaining
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
- Strict Concavity of the Value Function for a Family of Dynamic Accumulation Models
- A Folk Theorem for Games when Frequent Monitoring Decreases Noise
- Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information
- Correlation in the Multiplayer Electronic Mail Game
- Dominance Solvability of Large k-Price Auctions
- Treading a Fine Line: Characterisations and Impossibilities for Liberal Principles in Infinitely-Lived Societies
- An Axiomatization of Learning Rules when Counterfactuals are not Observed
- On a Notion of Similarity with Endowments in Public Economics
- Outsourcing and Downstream R&D under Economies of Scale
- On Communication and the Weak Sequential Core
- Asymmetric Single-peaked Preferences
- Revealing Private Information in Bargaining
