3 citations · 4 across the 13 of their papers we have counts for
15 papers
How language model agents reshape price competition
Martin Bichler, Philip Hierhager, Kassian Köck +1
Repeated Bertrand competition is a stringent benchmark for algorithmic pricing: in homogeneous-goods markets, standard learning procedures typically select the stage-game Nash outc…
The Complexity of Multiplayer Colonel Blotto Games with Player-Specific Values
Martin Bichler, Abheek Ghosh
We study equilibrium computation in discrete multiplayer Colonel Blotto games with player-specific battlefield values. In the two-player model with common battlefield values, equil…
Stability Beyond Minty: Numerical Lyapunov Certification for Equilibrium Learning in Bayesian Bertrand Competition
Martin Bichler, Jan-Sebastian Hoehener
Computing Bayesian Nash equilibria with continuous types and actions requires solving for strategy functions. Learning methods provide a flexible approach, but standard variational…
Algorithmic Predation: Equilibrium Analysis in Dynamic Oligopolies with Smooth Market Sharing
Fabian Raoul Pieroth, Ole Petersen, Martin Bichler
Predatory pricing -- where a firm strategically lowers prices to undermine competitors -- is a contentious topic in dynamic oligopoly theory, with scholars debating practical relev…
Agentic Markets: Game Dynamics and Equilibrium in Markets with Learning Agents
Martin Bichler, Julius Durmann, Matthias Oberlechner
Autonomous and learning agents increasingly participate in markets - setting prices, placing bids, ordering inventory. Such agents are not just aiming to optimize in an uncertain e…
Distributionally Robust Contract Design with Deferred Inspection
Halil I. Bayrak, Martin Bichler
We study a robust contract design problem with deferred inspection, in which a principal allocates a scarce resource to an agent, observes the agent's realized outcome ex post at n…
Algorithmic Pricing and Algorithmic Collusion
Martin Bichler, Julius Durmann, Matthias Oberlechner
The rise of algorithmic pricing in online retail platforms has attracted significant interest in how autonomous software agents interact under competition. This article explores th…
Characterizing the Convergence of Game Dynamics via Potentialness
Martin Bichler, Davide Legacci, Panayotis Mertikopoulos +2
Understanding the convergence landscape of multi-agent learning is a fundamental problem of great practical relevance in many applications of artificial intelligence and machine le…
Exploring Competitive and Collusive Behaviors in Algorithmic Pricing with Deep Reinforcement Learning
Shidi Deng, Maximilian Schiffer, Martin Bichler
Nowadays, a significant share of the business-to-consumer sector is based on online platforms like Amazon and Alibaba and uses AI for pricing strategies. This has sparked debate on…
Semicoarse Correlated Equilibria and LP-Based Guarantees for Gradient Dynamics in Normal-Form Games
Mete Şeref Ahunbay, Martin Bichler
Projected gradient ascent is known to satisfy no-external regret as a learning algorithm. However, recent empirical work shows that projected gradient ascent often finds the Nash e…
Online Optimization Algorithms in Repeated Price Competition: Equilibrium Learning and Algorithmic Collusion
Martin Bichler, Julius Durmann, Matthias Oberlechner
This paper investigates whether online learning algorithms in pricing produce competitive outcomes or tacit collusion. This issue has drawn considerable attention from competition…
Algorithmic Collusion in Dynamic Pricing with Deep Reinforcement Learning
Shidi Deng, Maximilian Schiffer, Martin Bichler
Nowadays, a significant share of the Business-to-Consumer sector is based on online platforms like Amazon and Alibaba and uses Artificial Intelligence for pricing strategies. This…
Equilibrium Computation in Multi-Stage Auctions and Contests
Fabian R. Pieroth, Nils Kohring, Martin Bichler
We compute equilibrium strategies in multi-stage games with continuous signal and action spaces as they are widely used in the management sciences and economics. Examples include s…
Revenue in First- and Second-Price Display Advertising Auctions: Understanding Markets with Learning Agents
Martin Bichler, Alok Gupta, Matthias Oberlechner
The transition of display ad exchanges from second-price auctions (SPA) to first-price auctions (FPA) has raised questions about its impact on revenue. Auction theory predicts the…
On the Convergence of Learning Algorithms in Bayesian Auction Games
Martin Bichler, Stephan B. Lunowa, Matthias Oberlechner +2
Equilibrium problems in Bayesian auction games can be described as systems of differential equations. Depending on the model assumptions, these equations might be such that we do n…