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Nizar Riane

Publications and source records attributed to Nizar Riane.

8 recordsLinked to original sources
arXiv2026

The Moroccan Public Procurement Game

In this paper, we study the public procurement market through the lens of game theory by modeling it as a strategic game with discontinuous and non-quasiconcave payoffs. We first show that the game admits no Nash equilibrium in pure strategies. We then analyze the two-player case and derive two explicit mixed-strategy equilibria for the symmetric game and for the weighted $(p,1-p)$ formulation. Finally, we establish the existence of a symmetric Nash equilibrium in the general $N$-player case by applying an extended version of Dasgupta and Maskin result, which allows us to extend equilibrium existence to the mixed-strategy setting despite payoff discontinuities.

econ.TH↗
arXiv2025

Rethinking Arrow--Debreu: A New Framework for Exchange, Time, and Uncertainty

This paper revisits the Arrow-Debreu general equilibrium framework through the lens of effective trade, emphasizing the distinction between theoretical and realizable market interactions. We develop the Effective Trade Model (ETM), where transactions arise from bilateral feasibility rather than aggregate supply and demand desires. Within this framework, we establish the main properties of the price-demand correspondence and prove the existence of Nash equilibria, incorporating production, money, and network topology. The analysis extends to time, uncertainty, and open economies, revealing how loanable funds and exchange rates emerge endogenously. Our results show that equilibrium is shaped by transaction constraints, subjective pricing, and decentralized negotiation, rather than by universal market-clearing conditions, and thereby call into question the foundations of welfare theory. Anticipation is modeled via the conditional mode, capturing bounded rationality and information limitations in contrast to the rational expectations hypothesis. The ETM thus offers a behaviorally and structurally grounded alternative to classical general equilibrium, bridging microfoundations, monetary dynamics, and temporal consistency within a unified framework.

econ.TH↗
arXiv2025

Keynesian Beauty Contest in Morocco's Public Procurement Reform

This paper examines the recent reform of Morocco's public procurement market through the lens of Keynesian beauty contest theory. The reform introduces a mechanism akin to a guessing-the-average game, where bidders attempt to estimate a reference price, which in turn impacts bidding strategies. We utilize this setup to empirically test key hypotheses within auction theory, specifically the roles of common knowledge and bounded rationality. Our findings indicate potential manipulation risks under the current rules, suggesting that a shift to a median criterion could improve robustness and reduce the likelihood of manipulation. This work contributes to the broader understanding of strategic interactions in procurement and offers a foundation for future research on improving fairness and efficiency in public contract allocation.

econ.GN↗
arXiv2024

Spectral influence in networks: An application to Input-Output analysis

This paper introduces the concepts of spectral influence and spectral cyclicality, both derived from the largest eigenvalue of a graph's adjacency matrix. These two novel centrality measures capture both diffusion and interdependence from a local and global perspective respectively. We propose a new clustering algorithm that identifies communities with high cyclicality and interdependence, allowing for overlaps. To illustrate our method, we apply it to input-output analysis within the context of the Moroccan economy.

cs.SI↗
arXiv2024

Generalized measure Black-Scholes equation: Towards option self-similar pricing

In this work, we give a generalized formulation of the Black-Scholes model. The novelty resides in considering the Black-Scholes model to be valid on 'average', but such that the pointwise option price dynamics depends on a measure representing the investors' 'uncertainty'. We make use of the theory of non-symmetric Dirichlet forms and the abstract theory of partial differential equations to establish well posedness of the problem. A detailed numerical analysis is given in the case of self-similar measures.

q-fin.MF↗
arXiv2023

Input-Output Analysis: New Results From Markov Chain Theory

In this work, we propose a new lecture of input-output model reconciliation Markov chain and the dominance theory, in the field of interindustrial poles interactions. A deeper lecture of Leontieff table in term of Markov chain is given, exploiting spectral properties and time to absorption to characterize production processes, then the dualities local-global/dominance- Sensitivity analysis are established, allowing a better understanding of economic poles arrangement. An application to the Moroccan economy is given.

econ.GN↗
arXiv2018

Optimization on fractal sets

We outline necessary and sufficient condition to the existence of extrmas of a function on a self-similar set, and we describe discrete gradient algorithm to find the extrema.

math.MG↗