Define the riskiness of a gamble as the reciprocal of the absolute risk aversion (ARA) of an individual with constant ARA who is indifferent between taking and not taking that gamble. We characterize this index by axioms, chief among them a “duality” axiom which, roughly speaking, asserts...

Traditional portfolio optimization models specify placement of capital as rather irrevocably and fully at risk through investment horizon(s) or continuously. Under this constraint, asset class allocation typically serves as primary mode of diversification, pursuing risk moderation by seeking to...

A dynamic microeconomic model is presented that establishes the price and unit sales evolution of heterogeneous goods consisting of successive homogenous product generations. It suggests that for a fast growing supply the mean price of the generations are governed by a logistic decline towards a...

One approach to analyzing inequality is to compare average economic choices from a classical theoretical framework. Another approach considers the impact of the formation of society, through statutes and institutions, on average economic outcomes. This paper studies the effects of slavery on...

In this paper we have used probability economics as a tool of unification of the market process concept of Austrian economics and the supply and demand laws and equilibrium state concepts of neoclassical economics. The new agent-based trade maximization principle has been proposed to serve as a...

In finance, decision making and choice requires that we assume that asset prices tend to trend. This assumption also logically enables us to construct exits to limit losses and protect capital. But investors have good reason to be uneasy regarding the potential for significant loss when using a...

An information transaction entails the purchase of information. Formally, it consists of an information structure together with a price. We develop an index of the appeal of information transactions, which is derived as a dual to the agent's preferences for information. The index of information...

We develop an analytical core for sociology. We follow standard dynamical systems theory by first specifying the conditions for social equilibrium, and then study the dynamical principles that govern disequilibrium behavior. Our general social equilibrium model is an expansion of the general...

In this paper we explore the underlying consumer heterogeneity in competitive markets for subscription-based IT services that exhibit network effects. Insights into consumer heterogeneity with respect to a given service are paramount in forecasting future subscriptions, understanding the impact...

In the homogeneous case of one type of goods or objects, we prove the existence of an additive utility function without assuming transitivity of indifference and independence. The representation reveals a positive factor smaller than 1 that infuences rational choice beyond the utility function...