What kind of game is it if the firms must choose their pricing strategies at the same time?

In competitive, monopolistically competitive, and monopolistic markets, the profit maximizing strategy is to produce that quantity of product where marginal revenue = marginal cost. This is also true of oligopolistic markets — the problem is, it is difficult for a firm in an oligopoly to determine its marginal revenue because the quantity of product that can be sold for a given price will depend on the prices charged by the other firms in the oligopoly and the quantity that they produce. Economists have examined this interdependence by using game theory, which analyzes strategies used by individual players that account for what the other players will do. What distinguishes game theory from other types of economic decisions is that decisions in game theory are based on what other people in the game will do or would be expected to do. Most other economic decisions are not based on the reaction or expected reactions of others but are based on details of the thing being decided.

Experimental economics studies game theory by designing scientific experiments using real individuals in specific situations to determine actual outcomes that do not depend on statistical analysis. Nonetheless, even though statistical analysis is needed to analyze real-world scenarios, game theory offers insights into how oligopolistic firms price their product.

A common scenario for applying game theory to decision-making is the prisoners' dilemma. Bennie and Stella were arrested for robbing banks. Each was interrogated in separate rooms, where the interrogators offered them a choice:

  • if they both confessed, they would both get 5 years in prison;
  • if one confessed, the confessor would go free while the other one would get 10 years;
  • if neither confessed, then they would each get 2 years.

There are 4 possibilities, represented by the following payoff matrix:

Prisoners' Dilemma Payoff Matrix
Stella confesses: 5 years
Bennie confesses: 5 years
Stella silent: 10 years
Bennie confesses: goes free
Stella confesses: goes free
Bennie silent: 10 years
Stella silent: 2 years
Bennie silent: 2 years

The best possibility for both as a group would be if neither confessed, which would mean that they would only have to spend 2 years in prison. The worst possibility for both of them as a group is if they both confessed — then they must spend 5 years in prison. However, as individuals, they may be able to do better or worse, depending on how successfully they anticipate what the other will do. If Stella confesses, the worst she can do is spend 5 years in prison, and the best that she can do is go free; likewise for Bennie. In this case, confessing is what is called in game theory a dominant strategy, which yields the best outcome regardless of what other players do, which is the strategy to take when it is impossible to anticipate their decision. For instance, if Stella does not confess, then she will either spend 10 or 2 years in prison, depending on whether Bennie confesses or not. Stella would probably only choose silence if she was fairly confident that Bennie would not confess and that she cared enough about him to not choose to confess to free herself; on the other hand, if she was not confident about Bennie's decision, then she would select the dominant strategy.

When firms in an oligopoly must decide about quantity and pricing, they must consider what the other firms will do, since quantity and price are inversely related. If all the firms produce too much, then the price may drop below their average total costs, causing them losses. If they can restrict quantity to that which corresponds to where marginal cost = marginal revenue for the oligopoly as a whole, then they can maximize their profits. However, they do have one advantage over the prisoner's dilemma scenario — they usually know what the other firms did in the past, so they can decide on quantity and pricing based on the assumption that they will act in the same way in the future. But if the firm is wrong in its anticipation, then they can make corrections in its production schedule.

Where firms have a history of working together, they can choose a dominant strategy based on the choices that the other firms have made, which is called a Nash equilibrium, named after the theoretical economist John Nash, whose life was portrayed in the movie A Beautiful Mind.

Sometimes, firms in an oligopoly try to eliminate guesswork by forming a cartel, where they agree on a particular output, so that they can sell their output at a profit-maximizing price.

Cartels often fail because one or more firms will be tempted to cheat, since this will allow them to earn outsized profits, especially if they are a smaller firm that contributes only a small share of the total output of the oligopoly. For that would allow the firm to sell a greater quantity at the profit maximizing price without lowering demand, and therefore, the price. It would also improve the firm's economy of scale.

What kind of game is it if the firms must choose their pricing strategies at the same time?
  • MR = Marginal Revenue
  • MC = Marginal Cost
  • D = Market Demand, Price

When firms in a cartel cooperate by restricting quantity for higher prices, then each firm gets Po for its product by restricting its quantity to the agreed amount Qo (it is assumed that Qo = each firm's MR = MC output), and each firm earns the revenue above its marginal cost represented by the areas 1 + 3 in the diagram on the left. Hence, the oligopoly earns what a monopoly would earn. (Note that the quantity Qo would probably be different for the different firms, but the graph still represents each firm's revenue, but the quantity axis would be adjusted, depending on the firm's market share, which is usually commensurate with its size.)

When none of the cartel members cooperate, then the quantity increases to Qc and the market price declines to the competitive price Pc, and each firm in the oligopoly earns 3 + 4 above their marginal cost. (Again, the size of the 2 areas will be commensurate with the size of the firms and their corresponding market share.)

If a firm cheats, then it earns: 1 + 2 + 3 + 4 by producing more until MC = Po, which = the quantity, Qcheater. This assumes that the firm produces only a small portion of the output of the oligopoly; otherwise, the firm's increased output would cause the market price to decline, and the market demand curve for the oligopoly as a whole would shift to the left.

Is game theory a pricing strategy?

Game Theory explains pricing strategy of firms that are in an oligopolistic market. This means that the market is dominated by a small number of large firms. For example, large airline providers such as British Airways or Air France.

In what kind of game does one firm moves first and commit to a specific strategy?

The Stackelberg leadership model is a strategic game in economics in which the leader firm moves first and then the follower firms move sequentially.

What is game theory of oligopoly?

“Game theory is the study of how people behave in strategic situations. By 'strategic' we mean a situation in which each person, when deciding what actions to take, must consider how others might respond to that action.” Oligopoly.

What is game theory and competitive strategy?

Key Takeaways. Game theory is a theoretical framework to conceive social situations among competing players and produce optimal decision-making of independent and competing actors in a strategic setting.