Game Theory Book


This book is an accompaniment to our game theory course which works as a gentle beginners guide to game theory and the dynamics of cooperation and competition

Generalizing Game Theory


Game theoretic concepts apply whenever the actions of several agents are interdependent. These agents may be individuals, groups, firms, or any combination of these. The concepts of game theory provide a language to formulate, structure and analyz

Network Game Theory


Network Game Theory Many of the choices people make, such as which type of computer operating system to purchase, are dependent upon the network of connections that they have with others and are thus best modeled using a combination of network analysis and game theory. Network game theory is the combination of network [...]

Replicator Dynamics


Replicator Dynamics Illustration of the replicator equation with the different parameters expanded upon. The replicator equation is designed to capture what strategy an agent will adopt based on the prevalence and success of any given existing strategy The replicator equation is the first and most important game dynamic studied in connection with evolutionary game [...]

Evolutionary Stable Strategies


Evolutionary Stable Strategies Evolutionary stability is asking the question what strategies are stable under ongoing interaction and competition with others? As such it tells us something about the equilibrium to an evolutionary game The concept of an Evolutionarily Stable Strategy(ESS) applies to evolutionary processes where agents adopt a strategy and then learn of its [...]

Evolutionary Game Theory


Evolutionary Game Theory Being first applied to the interaction of creatures within ecosystems, evolutionary biology has increasingly found relevance to all areas of socioeconomic interaction Evolutionary Game Theory is the application of game theory concepts to situations in which a population of agents with diverse strategies interact over time to create a stable [...]

Cooperative Structures


Cooperative Structures Cooperative structures are the various forms of institutional structures that enable people to act cooperatively, examples being third party organizations like governments, social networks of various form and recommendation systems. This article looks at various approaches that are used to foster the cooperation required to overcome the social dilemma that lies at the heart of many [...]

Public Goods Games


Public Goods Games Voting is an example of a public good within democratic societies, as it is necessary to hold public representatives accountable. However, it requires that citizens make informed decisions that may cost them both time and effort that they personally will not receive an immediate reward for. Public goods games are [...]

Social Dilemma


Social Dilemma The idea of the social dilemma captures something very profound about the nature of social groups as it can be found in virtually all situations of interdependence between agents. The social dilemma captures the core dynamic within groups requiring collective action, where there is a conflict between an individual’s immediate personal [...]

Cooperative Games


Cooperative Games Cooperative games involve a very different set of dynamics from those of competitive games and likewise require a different set of capabilities from the agents involved In game theory, a cooperative game is any situation of interdependence between agents wherein there is the possibility for cooperative structures to be formed, either through [...]