In this paper an extension of the well-known binomial approach to option pricing is presented. The classical question is: What is the price of an option on the risky asset? The traditional answer is obtained with the help of a replicating portfolio by ruling out arbitrage. Instead a two-person...

Firms tend to compete more aggressively in financial distress; the intensified competition in turn reduces profit margins for everyone, pushing some further into distress. To study such feedback and contagion effects, we incorporate dynamic strategic competition into an industry equilibrium with...

This is the supplemental material to the paper titled "Feedback and Contagion through Distressed Competition." It includes additional empirical, theoretical, and quantitative results. It also includes illustration for the numerical algorithm for our model solution

Firms tend to compete more aggressively in financial distress; the intensified competition in turn reduces profit margins, pushing themselves further into distress and adversely affecting other firms. To study such feedback and contagion effects, we incorporate strategic competition into a...

An information-theoretic thought experiment is developed to clarify why the maximum entropy methodology is appropriate for predicting the equilibrium state of economic systems. As a first step, object allocation problems, modeled as knapsack problems, are shown to be equivalent to congestion...

Purpose - The current paper is a brief review of the emerging field of quantum-like modelling in game theory. This paper aims to explore several quantum games, which are superior compared to their classical counterparts, which means either they give rise to superior Nash equilibria or they make...

This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny’s better-reply security con- dition ( Reny 1999) and its recent improvements (Barelli and...

Perfect Bayesian equilibrium is not a subset of Nash equilibrium. Perfect Bayesian equilibrium requires players to have beliefs that are consistent with the equilibrium strategies of other players. Nash equilibrium does not explicitly specify the beliefs of the players. However, the default...

This paper uses Bayesian equilibrium by iterative conjectures approach to solve a noisy sequential game, that is, a sequential game with inaccurate observation clouded by noise. Bayesian equilibrium by iterative conjectures requires players to form conjectures about the strategies of the other...

We study continuous stochastic games with inhomogeneous mean field interactions on large networks and explore their graphon limits. We consider a model with a continuum of players, where each player's dynamics involve not only mean field interactions but also individual jumps induced by a...