A Procedural Characterization of Solution Concepts in Games
Authors: J. Y. Halpern, Y. Moses
JAIR 2014 | Venue PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | We show how game-theoretic solution concepts such as Nash equilibrium, correlated equilibrium, rationalizability, and sequential equilibrium can be given a uniform definition in terms of a knowledge-based program with counterfactual semantics. In a precise sense, this program can be viewed as providing a procedural characterization of rationality. |
| Researcher Affiliation | Academia | Joseph Y. Halpern EMAIL Computer Science Department Cornell University Ithaca, NY 14853, USA Yoram Moses EMAIL Department of Electrical Engineering Technion Israel Institute of Technology Haifa, 32000, Israel |
| Pseudocode | Yes | Consider the following kb program EQΓ i for player i, where Ai(Γ) denotes all the possible actions available to player i in game Γ. (This program applies both to normal-form and to extensive-form games. In an extensive-form game Γ, Ai(Γ) is the union of the actions available at each of i s information sets; we assume without loss of generality that the sets of actions at different information sets are disjoint.) for each action a Ai(Γ) do if Ki(intendi(a) V a Ai(Γ) EUi(a) EUi(a )) then play a. |
| Open Source Code | No | The paper does not contain any explicit statements or links indicating the availability of open-source code for the methodology described. |
| Open Datasets | No | The paper uses illustrative examples of games (e.g., 'the 2-player game Γn described in Figure 1') and theoretical constructs like 'system RΓ' and 'pure strategy profiles' within its framework. It does not refer to or provide access information for any publicly available or open datasets. |
| Dataset Splits | No | The paper is theoretical and does not involve empirical experiments with datasets; therefore, no dataset splits are discussed or provided. |
| Hardware Specification | No | The paper presents a theoretical framework for characterizing solution concepts in games and does not describe any experimental setup or computational tasks that would require specific hardware. Therefore, no hardware specifications are provided. |
| Software Dependencies | No | The paper is purely theoretical, focusing on mathematical and logical characterizations of game theory. It does not mention any specific software, libraries, or solvers with version numbers that would be required to reproduce its work. |
| Experiment Setup | No | The paper is theoretical, presenting definitions, theorems, and proofs related to game theory. It does not describe any experimental setup, hyperparameters, training configurations, or system-level settings. |