2.5 Game Theory and Strategic Decision-Making

Game theory is a framework used to understand strategic decision-making among individuals or firms, where the outcome for each participant depends on their own actions and on the actions of others. It helps to analyse situations where agents compete, cooperate, or interact strategically, such as businesses setting prices, countries negotiating trade deals, or individuals deciding whether to cooperate in social dilemmas.

• Players: The decision-makers in the game, such as firms, individuals, or governments.
• Strategies: The set of possible actions each player can take. In a pricing game, for instance, strategies might involve setting a high or low price.
• Payoffs: The outcomes or rewards associated with each combination of strategies chosen by the players. Payoffs can be represented as profits, utility, or other measures of benefit.

Games, in game theory, refer to scenarios where players make strategic decisions, and these scenarios can be classified into different types. In cooperative games, players can form binding agreements and coalitions to achieve better outcomes, such as firms collaborating on pricing strategies. In contrast, non-cooperative games involve players acting independently to maximise their own payoffs, as seen in competitive pricing among rival firms. 

Zero-sum games occur when one player's gain equals another's loss, creating direct competition, like in chess. Non-zero-sum games allow for outcomes that benefit or harm multiple players, such as in trade negotiations. Finally, in simultaneous games, players make decisions without knowledge of others' choices, requiring strategic anticipation, whereas in sequential games, players make decisions one after another, with later players able to observe earlier actions, as in multi-stage negotiations.