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- research-articleAugust 2024
Stochastic Games with General Payoff Functions
Mathematics of Operations Research (MOOR), Volume 49, Issue 3Pages 1349–1371https://doi.org/10.1287/moor.2023.1385We consider multiplayer stochastic games with finitely many players and actions, and countably many states, in which the payoff of each player is a bounded and Borel-measurable function of the infinite play. By using a generalization of the technique of ...
- research-articleAugust 2024
Weak Approachability of Convex Sets in Absorbing Games
Mathematics of Operations Research (MOOR), Volume 49, Issue 3Pages 1372–1402https://doi.org/10.1287/moor.2021.0160In this paper, we extend previous results on weak approachability in generalized quitting games with vector payoffs to the general case of absorbing games. Specifically, we show that a necessary condition and a different sufficient condition for weak ...
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- research-articleAugust 2022
Stability, Memory, and Messaging Trade-Offs in Heterogeneous Service Systems
Mathematics of Operations Research (MOOR), Volume 47, Issue 3Pages 1862–1874https://doi.org/10.1287/moor.2021.1191We consider a heterogeneous distributed service system consisting of n servers with unknown and possibly different processing rates. Jobs with unit mean arrive as a renewal process of rate proportional to n and are immediately dispatched to one of several ...
- research-articleFebruary 2022
Decomposition of Games: Some Strategic Considerations
Mathematics of Operations Research (MOOR), Volume 47, Issue 1Pages 176–208https://doi.org/10.1287/moor.2021.1123Orthogonal direct-sum decompositions of finite games into potential, harmonic and nonstrategic components exist in the literature. In this paper we study the issue of decomposing games that are strategically equivalent from a game-theoretical point of ...
- research-articleMay 2021
Simulation of a Random Variable and its Application to Game Theory
Mathematics of Operations Research (MOOR), Volume 46, Issue 2Pages 452–470https://doi.org/10.1287/moor.2020.1067We provide a new tool for simulation of a random variable (target source) from a randomness source with side information. Considering the total variation distance as the measure of precision, this tool offers an upper bound for the precision of simulation,...
- research-articleFebruary 2021
Game of Thrones: Fully Distributed Learning for Multiplayer Bandits
Mathematics of Operations Research (MOOR), Volume 46, Issue 1Pages 159–178https://doi.org/10.1287/moor.2020.1051We consider an N-player multiarmed bandit game in which each player chooses one out of M arms for T turns. Each player has different expected rewards for the arms, and the instantaneous rewards are independent and identically distributed or Markovian. ...
- articleNovember 2017
A Characterization of Subgame-Perfect Equilibrium Plays in Borel Games of Perfect Information
Mathematics of Operations Research (MOOR), Volume 42, Issue 4Pages 1162–1179https://doi.org/10.1287/moor.2016.0843We provide a characterization of subgame-perfect equilibrium plays in a class of perfect information games where each player's payoff function is Borel measurable and has finite range. The set of subgame-perfect equilibrium plays is obtained through a ...
- articleMay 2017
Best-Response Cycles in Perfect Information Games
Mathematics of Operations Research (MOOR), Volume 42, Issue 2Pages 427–433https://doi.org/10.1287/moor.2016.0808We consider n-player perfect information games with payoff functions having a finite image. We do not make any further assumptions, so in particular we refrain from making assumptions on the cardinality or the topology of the set of actions and ...
- articleNovember 2016
Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit
We prove the existence of a pure subgame-perfect epsilon-equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the ...
- articleNovember 2016
Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit
We prove the existence of a pure subgame-perfect epsilon-equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the ...
- articleNovember 2016
Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit
We prove the existence of a pure subgame-perfect epsilon-equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the ...
- articleNovember 2016
Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit
Mathematics of Operations Research (MOOR), Volume 41, Issue 4Pages 1208–1221https://doi.org/10.1287/moor.2015.0774We prove the existence of a pure subgame-perfect epsilon-equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the ...
- articleAugust 2016
- articleFebruary 2016
- articleOctober 2015
- articleMarch 2015
On the Uniqueness of Equilibrium in Atomic Splittable Routing Games
Mathematics of Operations Research (MOOR), Volume 40, Issue 3Pages 634–654https://doi.org/10.1287/moor.2014.0688In routing games with infinitesimal players, it follows from well-known convexity arguments that equilibria exist and are unique. In routing games with atomic players with splittable flow, equilibria exist, but uniqueness of equilibria has been ...