While some communities of animals living in groups may develop systems of cooperation or mutual altruism, many other animal societies are characterised by dominance hierarchies. This thesis is concerned with describing the development of cooperation and dominance hierarchies amongst animal groups. By using a game-theoretic framework, I develop and investigate simple models to describe social in...

The business cycle is a frequent topic in economic research; however, the approach based on individual strategies often remains neglected. aspiration of this study to prove that behavior individuals can originate and fuel an cycle. For purpose, we are using algorithm repeated dove–hawk game. results reveal sum output society affected by ratio strategies. Cyclical changes will be translated into...

The Sato-Crutchfield equations are studied analytically and numerically. The Sato-Crutchfield formulation is corresponding to losing memory. Then Sato-Crutchfield formulation is applied for some different types of games including hawk-dove, prisoner’s dilemma and the battle of the sexes games. The Sato-Crutchfield formulation is found not to affect the evolutionarily stable strategy of the ordi...

The evolution of cooperative behavior is one of the most important issues in game theory. Previous studies have shown that cooperation can evolve only under highly limited conditions, and various modifications have been introduced to games to explain the evolution of cooperation. Recently, a utility function basic to game theory was shown to be dependent on current wealth as a conditional (stat...

We propose a bargaining process supergame over the strategies to play in a non-cooperative game. The agreement reached by players at the end of the bargaining process is the strategy profile that they will play in the original non-cooperative game. We analyze the subgame perfect equilibria of this supergame, and its implications on the original game. We discuss existence, uniqueness, and effici...

In this work we present an evolving system of agents which interact with each other in game theoretic settings. The parameters of the game are considered as time dependent variables representing state of the external environment. The variation of these parameters covers four canonical examples from game theory: prisoners dilemma, hawk-dove, stag-hunt and harmony game. The process of selfadaptat...

This work examines the applicability of Uncertainty Quantification (UQ) in Game Theory. We consider classical games “matching pennies” and “Hawk an Dove” situations involving uncertainty. The first game examined is pennies”: a situation concerns where probabilities choice between Heads Tails are unknown must be determined from observations. A second fluctuations implementation Nash equilibrium....