Authors:
(1) Nicholas A. G. Johnson (nagj@mit.edu);
(2) Theo Diamandis (tdiamand@mit.edu);
(3) Alex Evans (aevans@baincapital.com);
(4) Henry de Valence (hdevalence@penumbra.zone);
(5) Guillermo Angeris (gangeris@baincapital.com). Table of Links Abstract and Introduction 1 The concave pro-rata game 1.1 Symmetric pure strict equilibrium 1.2 Uniqueness of equilibrium 1.3 Equilibrium payoff 2 Batched decentralized exchanges 2.1 Arbitrage 3 Conclusion and References A Numerics B Additional Numerics C Relaxing strict concavity D Rosen condition 1 The concave pro-rata game This paper is available on arxiv under CC BY 4.0 DEED license. Authors: (1) Nicholas A. G. Johnson (nagj@mit.edu); (2) Theo Diamandis (tdiamand@mit.edu); (3) Alex Evans (aevans@baincapital.com); (4) Henry de Valence (hdevalence@penumbra.zone); (5) Guillermo Angeris (gangeris@baincapital.com). Authors: Authors: (1) Nicholas A. G. Johnson (nagj@mit.edu); (2) Theo Diamandis (tdiamand@mit.edu); (3) Alex Evans (aevans@baincapital.com); (4) Henry de Valence (hdevalence@penumbra.zone); (5) Guillermo Angeris (gangeris@baincapital.com). Table of Links Abstract and Introduction Abstract and Introduction 1 The concave pro-rata game 1 The concave pro-rata game 1.1 Symmetric pure strict equilibrium 1.1 Symmetric pure strict equilibrium 1.2 Uniqueness of equilibrium 1.2 Uniqueness of equilibrium 1.3 Equilibrium payoff 1.3 Equilibrium payoff 2 Batched decentralized exchanges 2 Batched decentralized exchanges 2.1 Arbitrage 2.1 Arbitrage 3 Conclusion and References 3 Conclusion and References A Numerics A Numerics B Additional Numerics B Additional Numerics C Relaxing strict concavity C Relaxing strict concavity D Rosen condition D Rosen condition 1 The concave pro-rata game This paper is available on arxiv under CC BY 4.0 DEED license. This paper is available on arxiv under CC BY 4.0 DEED license. available on arxiv

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