A market with a high degree of competition, where demand for the firm's goods is perfectly elastic and prices are solely determined by interaction of demand and supply
One firm has advantages due to its size or costs and becomes the dominant firm, other firms will tend to follow this firm because they would be fearful of taking on the firm on in any form of price war
The behaviour of a firm will depend on how it thinks other firms will react to its policies, game theory can be used to examine the best strategy a firm can adopt for each assumption about its rivals
Explores the reactions of one player to changes in strategy by another player, aims to examine the best strategy a firm can adopt for each assumption about its rival's behaviour and provides insight into interdependent decision making that occurs in competitive markets
Neither player is able to improve their position and has optimised their outcome based on the other players expected decision, they have no incentive to change behaviour, unless someone else changes theirs
The maximin strategy will be to keep prices unchanged, as profits will not change, whilst the maximax policy is to raise prices, as they could gain £5m. Most firms will want to reduce risk and so adopt the maximin strategy; they will keep prices unchanged
Therefore, both firms will leave their price unchanged and there is a Nash equilibrium since neither firm is able to improve their position given the position of the other player