The goal of this article is to bring into wider attention the often neglected important work by Bertrand Russell on philosophy nature and foundations physics, published in year 1927. It suggested that idea what could be named space, introduced Part III book, may viewed as more fundamental than many other types spaces since highly abstract topological ordinal space proposed there would incorpora...

Abstract We test the performance of deep deterministic policy gradient—a reinforcement learning algorithm, able to handle continuous state and action spaces—to find Nash equilibria in a setting where firms compete offer prices through uniform price auction. These algorithms are typically considered “model-free” although large set parameters is utilized by algorithm. may include rates, memory bu...

This paper reports "work in progress" on a project which I've titled, "The Spaces of Transnational Cultures". The aim of the project is to build on, but be methodologically different from, my earlier research on the architecture and urbanism of colonial and postcolonial cities in which the principal objective had been to demonstrate the inherently constitutive relationship between the political...

We show that bounded monopoly profits are essential for the uniqueness of the Bertrand paradox (zero profit) outcome. Otherwise, a folk theorem obtains for one-shot homogeneous product Bertrand games: any positive (but finite) payoff vector can be achieved in a symmetric mixed-strategy Nash equilibrium. JEL Numbers: D43, C72

In contexts in which players have no priors, we analyze a learning process based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are randomly matched to play the game (random matching). The relevant long run predictions are minimal sets that...

We prove some general results about quasi-actions on trees and define Property (QFA), which is analogous to Serre's Property (FA), but in the coarse setting. This property is shown to hold for a class of groups, including SL(n, Z) for n ≥ 3. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees. Contents 1. Introduction 1 1.1. ...

In contexts in which players have no priors, we analyze a learning process based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are randomly matched to play the game (random matching). The relevant long run predictions are minimal sets that...

A player’s knowledge of her own actions and the corresponding own payoffs may enable her to infer or form belief about what the payoffs would have been if she had played differently. In studies of low-information game settings, however, players’ ex-post inferences and beliefs have been largely ignored by quantitative learning models. For games with large strategy spaces, the omission may seriou...

The author describes a series of matrix choice games illustrating monopoly, shared monopoly, Cournot, Bertrand, and Stackelberg behavior given either perfect complements or perfect substitutes. The games are created by using a spreadsheet to fill out a profit table given the choices of two players. One player selects the column, the other the row, and the table gives the profit of the row choos...