Perfect information games where each player acts only once

We study perfect information games played by an infinite sequence of players, each acting only once in the course of the game. We introduce a class of frequency-based minority games and show that these games have no subgame perfect $$\epsilon $$ ϵ -equilibrium for any $$\epsilon $$ ϵ sufficiently small. Furthermore, we present a number of sufficient conditions to guarantee existence of subgame perfect $$\epsilon $$ ϵ -equilibrium.

Dynamics of Cooperation in Minority Games in Alliance Networks

Alliance networks are the underlying structures of social systems in business, management, and society. The sustainability and dynamics of a social system rely on the structural evolutions of the topologies. Understanding the evolution sheds light on the dynamics and sustainability of a social system. Minority game models have been successfully applied across social science, economy, management, and engineering. They provide simple yet applicable modeling to articulate the evolutionary cooperation dynamics of competitive players in binary decision situations. By extending the minority games played in alliance networks, the cooperation in structured systems of different network topologies is analyzed. In this model, local and global score strategies are considered with and without cooperation rewiring options. The cooperation level, the score, and the topological properties are investigated. The research uses a numerical simulation approach on random networks, scale-free networks, and small-world networks. The results suggest that the network rewiring strategy leads to higher systemic performance with a higher score and a higher level of stability in decision-making. Competitive decision-making can lead to a higher level of cooperation from a poor initial start. However, stubbornness in decision-making can lead to a poor situation when cooperation is discouraged. Players with local or global information adopt local and global score strategies. The results show that local strategies might lead to imbalance, while a global strategy might achieve a relatively stable outcome. This work contributes to bridge minority games in structured networks to study the cooperation between formation and evolution, and calls for future minority game modeling on social networks.

From Minority Games to $-Games

This chapter argues for the use of game theory or agent-based modeling to go beyond the standard methods used in traditional approaches to finance. The theory of rational expectations is at the core of most theories of finance in use since the 1970s, but it is also very unrealistic. This chapter first introduces some very general thoughts about elements needed in a new framework for finance. Then a few concrete examples of heterogeneous agent-based models will be introduced, and several of their main results will be discussed. Finally, applications and methods to real-market data will be introduced, notably the idea of “decoupling” to explain the short-lived synchronization of investors.