Abstract: Several algorithms have been proposed to compute sets of optima, Pareto sets, and sets of Nash equilibria. In this paper, we present a general algorithm for decision-related set computations that includes all these algorithms as particular cases. To make our algorithm understandable to people working in optimization and in game theory, we also provide motivations and explanations for our formalizations of the corresponding problems and for the related notions of computable mathematics
Concerning the solution theory for set games, the paper focuses on a family of values, each of which...
Significant work has been done on computational as-pects of solving games under various solution con...
We develop an efficient algorithm for computing pure strategy Nash equilibria that satisfy various c...
Abstract: Several algorithms have been proposed to compute sets of optima, Pareto sets, and sets of ...
Several algorithms have been proposed to compute sets of optima, Pareto sets, sets of Nash equilibri...
Computing solution concepts in games is an important endeavor in the field of algorithmic game theor...
This paper presents a survey of the use of homotopy methods in game theory. Homotopies allow for a r...
This paper presents a survey of the use of homotopy methods in game theory. Homotopies allow for a r...
The notion of optimality naturally arises in many areas of applied mathematics and computer science ...
Two common criticisms of Nash equilibrium are its dependence on very demanding epistemic assumptions...
This paper is a self-contained survey of algorithms for comput-ing Nash equilibria of two-person gam...
We provide two methodologies in the area of computation theory to solve optimal strategies for games...
An introduction to Game Theory and a combinatorial algorithm for calculating market equilibria, pric...
We address an optimization problem in which two agents, each with a set of weighted items, compete i...
An algebraic model generalizing submodular polytopes is presented, where modular functions on partia...
Concerning the solution theory for set games, the paper focuses on a family of values, each of which...
Significant work has been done on computational as-pects of solving games under various solution con...
We develop an efficient algorithm for computing pure strategy Nash equilibria that satisfy various c...
Abstract: Several algorithms have been proposed to compute sets of optima, Pareto sets, and sets of ...
Several algorithms have been proposed to compute sets of optima, Pareto sets, sets of Nash equilibri...
Computing solution concepts in games is an important endeavor in the field of algorithmic game theor...
This paper presents a survey of the use of homotopy methods in game theory. Homotopies allow for a r...
This paper presents a survey of the use of homotopy methods in game theory. Homotopies allow for a r...
The notion of optimality naturally arises in many areas of applied mathematics and computer science ...
Two common criticisms of Nash equilibrium are its dependence on very demanding epistemic assumptions...
This paper is a self-contained survey of algorithms for comput-ing Nash equilibria of two-person gam...
We provide two methodologies in the area of computation theory to solve optimal strategies for games...
An introduction to Game Theory and a combinatorial algorithm for calculating market equilibria, pric...
We address an optimization problem in which two agents, each with a set of weighted items, compete i...
An algebraic model generalizing submodular polytopes is presented, where modular functions on partia...
Concerning the solution theory for set games, the paper focuses on a family of values, each of which...
Significant work has been done on computational as-pects of solving games under various solution con...
We develop an efficient algorithm for computing pure strategy Nash equilibria that satisfy various c...