OPERACIONES

Title: OPERACIONES

Authors:

Abstract:

Palabras Claves:

1. Introduction

2. Symmetric 2x2 Games in the Strategic Form

3. Essential and Unnecessary Features in the Pay-off Bimatrices

4. Geometric Representation

The main research question of this study is to develop a geometric representation for the space of 2x2 symmetric games with imperfect information. This representation aims to provide a tool for classifying these games, quantifying the fraction of games with certain features, and making predictions about changes in the game's characteristics when changes are made to the payoff matrix.

The methodology employed in this study involves the use of strategic form, which is a way to represent a game where players choose strategies and receive payoffs. The study focuses on 2x2 symmetric games, which are the simplest type of non-zero-sum games. The authors propose a geometric representation for these games, using a set of four numbers (GA, GB, GAB) that represent the differences in expected payoffs and the payoff differences in symmetric situations.

The results of the study show that the proposed geometric representation allows for the classification of 2x2 symmetric games and the quantification of their features. The representation also enables predictions about changes in the game's characteristics when changes are made to the payoff matrix.

The implications of this study are significant for the field of game theory, as it provides a new way to visualize and understand the space of 2x2 symmetric games. The geometric representation developed in this study can be used as a tool for classifying and analyzing these games, which can lead to better models and predictions in various applications, such as economics, political science, and social science.

Link to Article: https://arxiv.org/abs/0312005v2 Authors: arXiv ID: 0312005v2