We introduce a new class of bankruptcy problems in which the value of the estate is endogenous and depends on agents’ investment decisions. There are two investment alternatives: investing in a company (risky asset) and depositing money into a savings account (risk-free asset). Bankruptcy is possible only for the risky asset. We define a game between agents each of which aims to maximize his ex...

We construct a parametric family of (modified) divide-the-dollar games: when there is excess demand, some portion the dollar may disappear and remaining distributed in bankruptcy problem. In two extremes, this game captures standard Nash (Econometrica 21:128–140, 1953) (when whole vanishes) studied Ashlagi et al. (Math Soc Sci 63:228–233, 2012) remains) as special cases. first show that all int...

In multiagent systems, social choice functions can help aggregate the distinct preferences that agents have over alternatives, enabling them to settle on a single choice. Despite the basic manipulability of all reasonable voting systems, it would still be desirable to find ways to reach a stable result, i.e., a situation where no agent would wish to change its vote. One possibility is an iterat...

We consider a model of evolution in games in which agents occasionally receive opportunities to switch strategies, choosing between them using a probabilistic rule. Both the rate at which revision opportunities arrive and the probabilities with which each strategy is chosen are functions of current normalized payoffs. W e call the aggregate dynamics induced by this model excess payoff dynamics....

Consider a large population of individuals which can be in one of two distinct roles. The role of an individual is switched every now and then, and interactions occur between randomly paired individuals in different roles. These interactions are represented by a bimatrix game and individuals are modelled as boundedly rational expected utility maximizers who choose their actions according to a m...

metabolome analysis is used to evaluate the characteristics and interactions of low molecular weight metabolites under a specific set of conditions. in cirrhosis, hepatocellular carcinoma, non-alcoholic fatty liver disease (nafld) and non-alcoholic steatotic hepatitis (nash) the  liver  does not function thoroughly due to long-term damage. unfortunately the early detection of cirrhosis, hcc, na...

Model-free learning for multi-agent stochastic games is an active area of research. Existing reinforcement algorithms, however, are often restricted to zero-sum games, and applicable only in small state-action spaces or other simplified settings. Here, we develop a new data efficient Deep-Q-learning methodology model-free Nash equilibria general-sum games. The algorithm uses local linear-quadra...

We examine the relative performances of reverse auctions and request for quotes in a simple commodity environment. Enterprises embarking on a reverse auction initiative often start with their commodity purchases. We conduct laboratory experiments and find that this is a poor starting point. Both the mean and variance of prices when sourcing through reverse auctions. With respect to the general ...