Games of Strategy: Basic principles

Game Theory // Fall 2025

Prof. Santetti

marcio.santetti@emerson.edu

A bit of History

A bit of History

A bit of History



A game as any interaction between agents that is governed by a set of rules specifying the possible moves for each participant and a set of outcomes for each possible combination of moves.

A bit of History



Nobel prizes in Economics:



1972, 1994, 2005, 2007, 2009, 2012, 2014, 2016, 2017, 2020.

More formally

More formally


In short, games are formal descriptions of strategic settings.


For our purposes, strategic settings → interdependence.

  • What you do affects my outcomes, and what I do affects your outcomes.


Most of the time, outcomes do not imply winning or losing.

More formally


We will learn a mathematically precise and logically consistent structure.

To start, 5 elements:


  1. A list of players;

  2. A complete description of what the players can do (i.e., their actions);

  3. A description of what the players know when they act;

  4. A specification of how the players’ actions lead to outcomes;

  5. A specification of the players’ preferences over outcomes (i.e., the payoffs).

More fomally


Noncooperative vs. cooperative games



Individual actions vs. Contractual relations

More fomally


Noncooperative games:



  • Extensive form;

  • Normal (strategic) form.

Next time: The extensive form