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GAME THEORETIC BEST-RESPONSE DYNAMICS FOR EVACUEES' EXIT SELECTION

Harri Ehtamo, Simo Heliövaara (), Timo Korhonen () and Simo Hostikka
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Harri Ehtamo: Systems Analysis Laboratory, Helsinki University of Technology, Espoo, Finland
Simo Heliövaara: Systems Analysis Laboratory, Helsinki University of Technology, Espoo, Finland
Timo Korhonen: VTT Technical Research Centre of Finland, Espoo, Finland
Simo Hostikka: VTT Technical Research Centre of Finland, Espoo, Finland

Advances in Complex Systems (ACS), 2010, vol. 13, issue 01, 113-134

Abstract: We present a model for evacuees' exit selection in emergency evacuations. The model is based on the game theoretic concept of best-response dynamics, where each player updates his strategy periodically by reacting optimally to other players' strategies. A fixed point of the system of all players' best-response functions defines a Nash equilibrium (NE) of the game. In the model, the players are the evacuees and the strategies are the possible target exits. We present a mathematical formulation for the model and show that the game has a NE with pure strategies. We also analyze different iterative methods for finding the NE and derive an upper bound for the number of iterations needed to find the equilibrium. Numerical simulations are used to analyze the properties of the model.

Keywords: Evacuation simulation; best-response dynamics; exit selection; agent-based modeling; Nash equilibria (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S021952591000244X

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