Advanced & Applied Topics · Operations Research & Optimization

Operations research: decision theory and game theory

Public introduction · full guide in Eikos

Introduction

What this guide covers

A comprehensive analytical treatise for the formalization of strategic behavior, Bayesian information modeling and the fundamental theorems of balance in multiperson environments.

Overview

Topics covered

  • Introduction
  • Decision Theory and Game Theory: Optimization Under Conflict and Analytical Rigor
  • Inference and Modeling of Decisions in Environments of Uncertainty and Risk
  • Decisions Under Strict Uncertainty
  • Low Risk Decisions and Bayesian Information
  • Quantitative Utility Theory and Attitudes to Risk

Related concepts

Main connections

  • Bayes' theorem & priors
  • Linear algebra & matrices
  • Mathematical expectation & moments
  • Calculus & differentiation
  • Supervised machine learning
  • Maximum likelihood estimation

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

aWald*=argmaxai∈𝒜[minθj∈Θu(ai,θj)]
View LaTeX sourcea^*_{Wald} = \arg\max_{a_i \in \mathcal{A}} \left[ \min_{\theta_j \in \Theta} u(a_i, \theta_j) \right]