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Alexander Szimayer

Publications and source records attributed to Alexander Szimayer.

2 recordsLinked to original sources

Self-respecting worker in the precarious gig economy: A dynamic principal-agent model

We develop a continuous-time principal-agent model of gig work, where contractual flexibility allows the employer to adjust fixed pay and output-based incentives dynamically. The worker's participation depends on a backward-looking reference value--an exponentially weighted average of net payoff from past employment--capturing a self-respect--driven wage demand. If an offer's expected utility falls short of the reference value, the worker rejects the contract, resulting in temporary unemployment. Accepted contracts transmit output volatility to the worker through a sensitivity parameter, inducing instability into earnings and employment. The employer's optimal threshold policies strategically use this volatility transfer to regulate the worker's wage demands. In the first-best case, the principal imposes maximal volatility to drive the reference value down to its minimum, after which volatility transfer ceases entirely. In the second-best case, the need to incentivize effort ensures ongoing volatility transfer. Stationary analysis predicts a humped-shaped relationship between worker sensitivity and the principal's profit. If sensitivity is too low, the worker's wage demands are overly rigid and difficult to regulate, while if it is too high, their demands become excessively volatile, which eventually erodes the principal's control.

econ.GN

Multivariate Subordination using Generalised Gamma Convolutions with Applications to V.G. Processes and Option Pricing

We unify and extend a number of approaches related to constructing multivariate Variance-Gamma (V.G.) models for option pricing. An overarching model is derived by subordinating multivariate Brownian motion to a subordinator from the Thorin (1977) class of generalised Gamma convolution subordinators. A class of models due to Grigelionis (2007), which contains the well-known Madan-Seneta V.G. model, is of this type, but our multivariate generalization is considerably wider, allowing in particular for processes with infinite variation and a variety of dependencies between the underlying processes. Multivariate classes developed by Pérez-Abreu and Stelzer (2012) and Semeraro (2008) and Guillaume (2013) are also submodels. The new models are shown to be invariant under Esscher transforms, and quite explicit expressions for canonical measures (and transition densities in some cases) are obtained, which permit applications such as option pricing using PIDEs or tree based methodologies. We illustrate with best-of and worst-of European and American options on two assets.

q-fin.MF