In this paper we construct a "reflexivity" index for Bitcoin crypto currency that measures the amount of activity generated endogenously within the market. For this purpose we fit a univariate self-exciting Hawkes process with two-classes of parametric kernels to high-frequency trade data that...

To aid in the description and estimation of the tremendous recent growth in the collaborative economy, we provide a model for the dynamics of sharing, subject to fixed costs and imperfect price formation. The sharing economy comprises a set of infinitely lived, heterogeneous suppliers, who take...

In the presence of a peer-to-peer economy, the option of sharing an item is valuable for consumers. By retaining control over the shareability of its products a monopolist can set a sharing tariff in conjunction with the purchase price of the product, in order to extract state-contingent surplus...

This paper provides expressions for solutions of a one-dimensional global optimization problem using an adjoint variable which represents the available one-sided improvements up to the interval “horizon.” Interpreting the problem in terms of optimal stopping or optimal starting, the solution...

The emerging sharing economy is fueled by products that some consumers buy new. This paper introduces an overlapping-generations model to analyze consumers' consumption choices and the equilibrium in the sharing market. We derive a retailer's optimal pricing strategy and determine the payoff...

The sharing of durable goods in a dynamic ownership economy is attractive, since it has the potential to realize gains from trade via short-term transfers of usage rights. We develop a model in which a set of agents, who are heterogeneous in their likely need of a durable good, make purchase...

The collaborative consumption of an asset, such as a car, an appliance, or a power tool, tends to degrade it faster than when it is kept for purely personal use. This paper examines the rational dynamic decision of when to share an asset and when to use it only privately. An optimal policy...