摘要：AbstractThis paper considers the remote state estimation with multiple sensors. Each sensor transmits its sensing data to a remote estimator over a shared channel, where simultaneous transmissions are allowed. Regrading the transmission of other sensors as interference signals, the system designer should coordinate the sensors appropriately in order to maximize the overall estimation performance. Motivated by microeconomics, we treat sensors as self-interested power buyers under different unit prices announced by the system designer. Accordingly, the strategic interactions among sensors are formulated in a non-cooperative game, upon which the existence and uniqueness of a pure equilibrium solution are proved. Even if the game admits a conflict of interests among sensors, under well-designed prices, the game outcome aligns with the global optimal solution. We also devise an algorithm to compute these prices with simple iterations, which is given in explicit forms for ease of implementation. Numerical examples are given to demonstrate the developed results.
