Topological Entropy of Cournot-Puu Duopoly

<table>We show, for <svg height="11.225" id="M284" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 72.824997 11.225" width="72.824997" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, an attractor of type A3. It consists of 16 periodic rectangles, each of them being transitive under the iteration of the two dimensional map <svg height="20.137501" id="M285" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 22.737499 20.137501" width="22.737499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.637,19.925)"><path d="M483 97q-42 -50 -88.5 -79.5t-68.5 -29.5q-37 0 -17 93l22 102h-2q-54 -79 -144 -149q-59 -46 -100 -46q-24 0 -43 29t-19 86q0 78 34.5 153t94.5 120q41 31 94 51.5t98 20.5q29 0 72 -9q26 -6 39 -6l2 -4q-30 -117 -67 -323q-8 -41 2 -41q16 0 79 58zM374 387
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</svg>.</table>

Discrete Dynamics in Nature and Society

Topological Entropy of Cournot-Puu Duopoly

Figure 5