This paper introduces algorithm instance games (AIGs) as a conceptual classification applying to games in which outcomes are resolved from joint strategies algorithmically. For such games, a fundamental question asks: How do the details of the algorithm’s description influence agents’ strategic behavior? We analyze two versions of an AIG based on the set-cover optimization problem. In these gam...

Hadamard (or complete $CAT(0)$) spaces are complete, non-positive curvature, metric spaces. Here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. Our results extend the standard non-linear ergodic theorems for non-expansive maps on real Hilbert spaces, to non-expansive maps on Ha...

To reason the interaction between agents’ epistemic states and environments, the agents’ epistemic states should include ontologies of agents (the agents’ assumptions about environments), what the agents know, believe and desire, and also should include the agents’ interpretations about these symbols in ontologies onto the environments. A formal description of such agents’ epistemic states and ...

Novel oral anticoagulants (NOACs), which include direct thrombin inhibitor (dabigatran) and direct factor Xa inhibitors (rivaroxaban, apixaban and edoxaban), are gaining popularity in the prevention of embolic stroke in non-valvular atrial fibrillation as well as in the prevention and treatment of venous thromboembolism. However, similar to traditional anticoagulants, NOACs have the side effect...

Waldenström macroglobulinemia is a lymphoplasmacytic lymphoma. A serum monoclonal IgM protein is required to establish this diagnosis. The clinical features patients develop include normochromic normocytic anemia, thrombocytopenia, hepatosplenomegaly, lymphadenopathy and signs of hyperviscosity. The International Staging System for Waldenström macroglobulinemia divides patients prognostically ...