Divide the dollar is a simplified version of a two player bargaining problem game devised by John Nash. The generalized divide the dollar game has 𝑛2 players. Evolutionary algorithms can be used to evolve individual players for this generalized game but representation-i.e., a genome plus a...

In hedonic games, coalitions are created as a result of the strategic interaction of independent players. In particular, in additively separable hedonic games, every player has valuations for all other ones, and the utility for belonging to a coalition is given by the sum of the valuations for...

We introduce a class of evolutionary game dynamics - pairwise comparison dynamics - under which revising agents choose a candidate strategy at random, switching to it with positive probability if and only if its payoff is higher than the agent's current strategy. We prove that all such dynamics...

We characterize the structure of Nash equilibria for a certain class of asset market games. In equilibrium, different assets have different returns, and (risk neutral) investors with different wealth hold portfolios with different structures. In equilibrium, an asset's return is inversely...

Baccara banque is a three-person zero-sum game parameterized by 0 E 2 (0; 1). A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. However, this solution...

Network games (NGs) are played on directed graphs and are extensively used in network design and analysis. Search problems for NGs include finding special strategy profiles such as a Nash equilibrium and a globally-optimal solution. The networks modeled by NGs may be huge. In formal...

We consider non-zero sum bi-matrix games where one player presumes the role of a leader in the Stackelberg model, while the other player is her follower. We show that the leader can improve her reward if she can incentivise her follower by paying some of her own utility to the follower for...

A simple expression is derived for the optimal strategy in the minimum effort game. This maps from player beliefs to an optimal effort level. From this expression the set of Nash equilibria in the game is fully characterized. All Nash equilibria are symmetric and involve at most two actions...

The evolution of social or biological species can be modeled as an evolutionary game with the equilibrium strategies of the game as prediction for the ultimate distributions of species in population, when some species may survive with positive proportions, while others become extinct. We say a...

We make use of data from a Facebook application where hundreds of thousands of people played a simultaneous move, zero-sum game-rock-paper-scissors-with varying information to analyze whether play in strategic settings is consistent with extant theories. We report three main insights. First, we...